155 results
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2. Fractional optimal control problem for a mathematical modeling of African swine fever virus transmission.
- Author
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Kouidere, Abdelfatah, Balatif, Omar, and Rachik, Mostafa
- Subjects
AFRICAN swine fever virus ,PESTICIDES ,MATHEMATICAL models ,MATHEMATICAL analysis ,COMPUTER simulation - Abstract
To have a more realistic model, in this paper, This manuscript is devoted to investigating a fractional-order mathematical model of Kouidere et al. That describes the dynamics of spread of African swine fever virus (ASFV). The aim of this work is to protect susceptible pigs from the virus, In our model, by including three controls which represent: the iron fencing and spraying pesticides and get rid. The aims of this paper is to reduce the number of infected pigs and ticks by using optimal control strategy and fractinal order derivation. Pontryagin's maximal principle is used to describe optimal controls with Caputo time-fractional derivative and the optimal system is resolved in an iterative manner. Numerical simulations are presented based on the presented method. We finished tis article with a conclusion. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
3. A Comprehensive Study of Covid 19 in Florida
- Author
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Bennett, Julian, Eriksen, Lauren, and Li, Xingjie Helen
- Subjects
Statistics - Applications ,Quantitative Biology - Populations and Evolution ,93A30 - Abstract
Within the likes of any highly contagious and unpredictable disease, lies a predictable and attainable growth rate that researchers can find in order to make logistical conclusions about that particular disease and its affected regions' counterparts. The foundation that researchers pull from when studying a particular disease and looking for its growth rate is the Susceptible-Infected-Removed (SIR) model, presented by a series of differential equations. The issue with the SIR model lies not in its complexity, but actually its simplicity and lack of a potentially high-finite amount of factors; the limit being bounded by the amount of data available for that particular factor. Our research involves the application of multiple regressions to pinpoint and identify our Covid lockdown periods, followed by the modification of the SIR model. This involved creating new model approximations such as the time-delayed SIR model and the reinfected SIR model in order to take into account factors such as incubation and reinfection, and get the lowest error discrepancy as possible for our infection rate. We were able to conclude that the more factors that we took into account, our error rate became lower and our results became more accurate. We could also identify outlier Metros and draw certain conclusions on performance level and the reasons behind them. We then moved on to find correlations, if any, between the infection rates and outside factors. We looked at demographic and weather data to demonstrate whether correlations appeared. We found that there are a few factors with high correlations, including graduate education and low temperatures.
- Published
- 2024
4. Interplay Between Homophily-Based Appraisal Dynamics and Influence-Based Opinion Dynamics: Modeling and Analysis
- Author
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Liu, Fangzhou, Cui, Shaoxuan, Mei, Wenjun, Dorfler, Florian, and Buss, Martin
- Subjects
Electrical Engineering and Systems Science - Systems and Control ,Mathematics - Dynamical Systems ,93A30 - Abstract
In social systems, the evolution of interpersonal appraisals and individual opinions are not independent processes but intertwine with each other. Despite extensive studies on both opinion dynamics and appraisal dynamics separately, no previous work has ever combined these two processes together. In this paper, we propose a novel and intuitive model on the interplay between homophily-based appraisal dynamics and influence-based opinion dynamics. We assume that individuals' opinions are updated via the influence network constructed from their interpersonal appraisals, which are in turn updated based on the individual opinions via the homophily mechanism. By theoretical analysis, we characterize the set of equilibria and some transient behavior of our model. Moreover, we establish the equivalence among the convergence of the appraisal network to social balance, the modulus consensus of individual opinions, and the non-vanishing appraisals. Monte Carlo validations further show that the non-vanishing appraisals condition holds for generic initial conditions. Compared with previous works that explain the emergence of social balance via person-to-person homophily mechanism, our model provides an alternative explanation in terms of the person-to-entity homophily mechanism. In addition, our model also describes how individuals' opinions on multiple irrelevant issues become correlated and converge to modulus consensus over time-varying influence networks.
- Published
- 2020
5. Symbolic models for nonlinear time-delay systems using approximate bisimulations
- Author
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Pola, Giordano, Pepe, Pierdomenico, Di Benedetto, Maria D., and Tabuada, Paulo
- Subjects
Mathematics - Dynamical Systems ,Mathematics - Functional Analysis ,Mathematics - Optimization and Control ,93A30 - Abstract
Time-delay systems are an important class of dynamical systems which provide a solid mathematical framework to deal with many application domains of interest ranging from biology, chemical, electrical, and mechanical engineering, to economics. However, the inherent complexity of such systems poses serious difficulties to control design, when control objectives depart from the standard ones investigated in the current literature, e.g. stabilization, regulation, and etc. In this paper we propose one approach to control design, which is based on the construction of symbolic models, where each symbolic state and each symbolic label correspond to an aggregate of continuous states and to an aggregate of input signals in the original system. The use of symbolic models offers a systematic methodology for control design in which constraints coming from software and hardware, interacting with the physical world, can be integrated. The main contribution of this paper is in showing that incrementally input-to-state stable time-delay systems do admit symbolic models that are approximately bisimilar to the original system, with a precision that can be rendered as small as desired. An algorithm is also presented which computes the proposed symbolic models. When the state and input spaces of time-delay systems are bounded, which is the case in many realistic situations, the proposed algorithm is shown to terminate in a finite number of steps., Comment: 12 pages
- Published
- 2009
6. Approximately bisimilar symbolic models for incrementally stable switched systems
- Author
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Girard, Antoine, Pola, Giordano, and Tabuada, Paulo
- Subjects
Mathematics - Optimization and Control ,93A30 - Abstract
Switched systems constitute an important modeling paradigm faithfully describing many engineering systems in which software interacts with the physical world. Despite considerable progress on stability and stabilization of switched systems, the constant evolution of technology demands that we make similar progress with respect to different, and perhaps more complex, objectives. This paper describes one particular approach to address these different objectives based on the construction of approximately equivalent (bisimilar) symbolic models for switched systems. The main contribution of this paper consists in showing that under standard assumptions ensuring incremental stability of a switched system (i.e. existence of a common Lyapunov function, or multiple Lyapunov functions with dwell time), it is possible to construct a finite symbolic model that is approximately bisimilar to the original switched system with a precision that can be chosen a priori. To support the computational merits of the proposed approach, we use symbolic models to synthesize controllers for two examples of switched systems, including the boost DC-DC converter., Comment: 17 pages
- Published
- 2008
7. Partial Realization Theory and System Identification Redux
- Author
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Lindquist, Anders
- Subjects
Mathematics - Optimization and Control ,93A30 - Abstract
Some twenty years ago we introduced a nonstandard matrix Riccati equation to solve the partial stochastic realization problem. In this paper we provide a new derivation of this equation in the context of system identification. This allows us to show that the nonstandard matrix Riccati equation is universal in the sense that it can be used to solve more general analytic interpolation problems by only changing certain parameters. Such interpolation problems are ubiquitous in systems and control. In this context we also discuss a question posed by R.E. Kalman in beginning of the 1970s.
- Published
- 2017
8. Wind Energy in the United Kingdom: Modelling the Effect of Increases in Installed Capacity on Generation Efficiency
- Author
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Stephens, Anthony D and Walwyn, David R
- Subjects
Physics - Physics and Society ,93A30 - Abstract
The decision by the United Kingdom (UK) government in 2007 that the country should build a 33GW wind fleet, capable of generating 25 percent of the UK electricity requirement, was controversial. Proponents argued that it was the most attractive means of lowering the UK greenhouse gas emissions, whereas opponents noted that it would result in an unnecessary and burdensome additional expense to industry and households. Subsequently there have been calls for the wind fleet target to be further increased to perhaps 50 percent of demand. Although the National Grid has had little difficulty in accommodating the current output of about 10 percent of the total demand on the grid, this will not be the case for a substantially larger wind fleet. When the wind blows strongly, turbines shed wind which is surplus to demand, leading to significant reductions in generating efficiency. The purpose of the research described in this paper has been to develop a method for investigating the likely performance of future large wind fleets. The method relies on the use of mathematical models based on National Grid records for 2013 to 2015, each year being separately analysed. It was found that the incremental load factor of the wind fleet will be reduced to 63 percent of its current level should the wind fleet increase from its current size of 14GW to 35GW, assuming a base load of 15GW, Comment: 24 pages, 15 figures, 4 tables
- Published
- 2016
9. A model for the lifetime of a reactive filter.
- Author
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Kiradjiev, Kristian B., Breward, Christopher J. W., and M. Griffiths, Ian
- Abstract
In many industrial applications, reactive filters, which remove toxic substances using chemical reactions, prove very efficient and versatile. One such example is the removal of sulphur dioxide from flue gas by converting it into liquid sulphuric acid. In this paper, we extend a model developed in Kiradjiev et al. (SIAM J Appl Math 82:591–619, 2021) for the operation of a reactive filter to consider the long-time behaviour and determine how the filter becomes clogged with liquid and becomes inefficient. We explore how the parameters that govern the operation of the filter affect its efficiency and discuss optimal filtration strategies. We also consider a distinguished asymptotic limit in terms of the key dimensionless parameters and obtain an explicit solution that compares well with the numerical solution to the full problem. Finally, we compare the results of our model with those from a simplified model for a reactive filter considered in Breward and Kiradjiev (J Eng Math, 129(14):1–28, 2021). [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
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10. Worldlines and social networks
- Author
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Jenkovszky, Laszlo
- Subjects
Physics - Physics and Society ,Physics - Popular Physics ,93A30 - Abstract
Familiar laws of physics are applied to study human relations, modelled by their world lines (worldlines, WLs) combined with social networks. We focus upon the simplest, basic element of any society: a married couple, stable due to the dynamic balance between attraction and repulsion. By building worldlines/worldsheets, we arrive at a two-level coordinate systems: one describing the behaviour of a string-like binary system (here, a married couple), the other one, external, corresponding to the motion of this couple in the medium, in which the worldline is embedded, sweeping there a string-like sheet or brane. The approach is illustrated by simple examples (semi-quantitative toy models) of worldlines/sheets, open to further extension, perfections and generalization. World lines (WLs) are combined with social networks (SN). Our innovation is in the application of basic physical laws, attraction and repulsion to human behaviour. Simple illustrative examples with empirical inputs taken from intuition and/or observation are appended. This is an initial attempt, open to unlimited applications., Comment: 16 pages, 11 figures
- Published
- 2021
- Full Text
- View/download PDF
11. Aggregated Demand Modelling Including Distributed Generation, Storage and Demand Response
- Author
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Marzooghi, Hesamoddin, Hill, David J., and Verbic, Gregor
- Subjects
Mathematics - Optimization and Control ,93A30 - Abstract
It is anticipated that penetration of renewable energy sources (RESs) in power systems will increase further in the next decades mainly due to environmental issues. In the long term of several decades, which we refer to in terms of the future grid (FG), balancing between supply and demand will become dependent on demand actions including demand response (DR) and energy storage. So far, FG feasibility studies have not considered these new demand-side developments for modelling future demand. In Australia, installed rooftop photovoltaic (PV) generation has been increasing significantly in recent years, and this is increasingly influence the nett load profile for FG feasibility studies. This paper proposes an aggregate nett load or demand model to be used at higher voltage levels considering the effect of rooftop PV, energy storage and DR for FG scenarios, which is inspired by the smart home concept. The proposed model is formulated as an optimization problem aiming at minimizing the electricity cost. As a case study, the effect of the load model is studied on the load profile, balancing and loadability of the Australian National Electricity Market in 2020 with the increased penetration of wind and solar generation., Comment: 11 pages, 6 figures, 3 Tables, submitted to IET Generation, Transmission & Distribution
- Published
- 2014
12. Balancing Personal Privacy and Public Safety during COVID-19: The Case of South Korea
- Author
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Ahn, Na Young, Park, Jun Eun, Lee, Dong Hoon, and Hong, Paul C.
- Subjects
Computer Science - Computers and Society ,Computer Science - Cryptography and Security ,93A30 ,C.0 ,H.0 - Abstract
There has been vigorous debate on how different countries responded to the COVID-19 pandemic. To secure public safety, South Korea actively used personal information at the risk of personal privacy whereas France encouraged voluntary cooperation at the risk of public safety. In this article, after a brief comparison of contextual differences with France, we focus on South Korea's approaches to epidemiological investigations. To evaluate the issues pertaining to personal privacy and public health, we examine the usage patterns of original data, de-identification data, and encrypted data. Our specific proposal discusses the COVID index, which considers collective infection, outbreak intensity, availability of medical infrastructure, and the death rate. Finally, we summarize the findings and lessons for future research and the policy implications., Comment: 11pages
- Published
- 2020
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13. Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches
- Author
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Abidemi, Afeez, Aziz, Nur Arina Bazilah, and Pindza, Edson
- Published
- 2023
- Full Text
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14. Nonexistence results of Caputo-type fractional problem.
- Author
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Kassim, Mohammed D., Ali, Saeed M., Abdo, Mohammed S., and Jarad, Fahd
- Subjects
FRACTIONAL integrals ,CAPUTO fractional derivatives - Abstract
In this paper, we deal with Caputo-type fractional differential inequality where there is a low-order fractional derivative with the term polynomial source. We investigate the nonexistence of nontrivial global solutions in a suitable space via the test function technique and some properties of fractional integrals. Finally, we demonstrate three examples to illustrate our results. The presented results are more general than those in the literature, which can be obtained as particular cases. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
15. Derivation of a transfer function model for a high pressure pipeline
- Author
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Santos, P. Lopes dos, Perdicoúlis, T-P Azevedo, Ramos, J. A., Jank, G., and de Carvalho, J. L. Martins
- Subjects
Mathematics - Dynamical Systems ,Mathematics - Optimization and Control ,93A30 - Abstract
In this report a lumped transfer function model for High Pressure Natural Gas Pipelines is derived. Starting with a partial nonlinear differential equation (PDE) model a high order continuous state space (SS) linear model is obtained using a finite difference method. Next, from the SS representation an infinite order transfer function (TF) model is calculated. In the end, this TF is approximated by a compact non-rational function., Comment: report with 41 pages, 8 figures, that contains all the proofs of a paper submitted to the CDC2010.
- Published
- 2010
16. Modelling and Analysis of Fractional Order Systems using Ultradistributions
- Author
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Grunfeld, C. M. and Rocca, M. C.
- Subjects
Mathematical Physics ,93A30 - Abstract
In this paper we introduce a new mathematical tool to solve fractional equations representing models of fractional systems : The Ultradistributions. Ultradistributions permit us to unify the notion of integral and derivative in one only operation. Several examples of application of the results obtained are given., Comment: 17 pages. No figures
- Published
- 2009
17. Controller synthesis for bisimulation equivalence
- Author
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Tabuada, Paulo
- Subjects
Mathematics - Optimization and Control ,93A05 ,93A10 ,93A30 - Abstract
The objective of this paper is to solve the controller synthesis problem for bisimulation equivalence in a wide variety of scenarios including discrete-event systems, nonlinear control systems, behavioral systems, hybrid systems and many others. This will be accomplished by showing that the arguments underlying proofs of existence and methods for the construction of controllers are extraneous to the particular class of systems being considered and thus can be presented in greater generality., Comment: Added references, comments and examples
- Published
- 2007
18. Approximately bisimilar symbolic models for nonlinear control systems
- Author
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Pola, Giordano, Girard, Antoine, and Tabuada, Paulo
- Subjects
Mathematics - Optimization and Control ,93A30 - Abstract
Control systems are usually modeled by differential equations describing how physical phenomena can be influenced by certain control parameters or inputs. Although these models are very powerful when dealing with physical phenomena, they are less suitable to describe software and hardware interfacing the physical world. For this reason there is a growing interest in describing control systems through symbolic models that are abstract descriptions of the continuous dynamics, where each "symbol" corresponds to an "aggregate" of states in the continuous model. Since these symbolic models are of the same nature of the models used in computer science to describe software and hardware, they provide a unified language to study problems of control in which software and hardware interact with the physical world. Furthermore the use of symbolic models enables one to leverage techniques from supervisory control and algorithms from game theory for controller synthesis purposes. In this paper we show that every incrementally globally asymptotically stable nonlinear control system is approximately equivalent (bisimilar) to a symbolic model. The approximation error is a design parameter in the construction of the symbolic model and can be rendered as small as desired. Furthermore if the state space of the control system is bounded the obtained symbolic model is finite. For digital control systems, and under the stronger assumption of incremental input-to-state stability, symbolic models can be constructed through a suitable quantization of the inputs., Comment: Corrected typos
- Published
- 2007
19. A mathematical model for fall armyworm management on maize biomass.
- Author
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Daudi, Salamida, Luboobi, Livingstone, Kgosimore, Moatlhodi, Kuznetsov, Dmitry, and Mushayabasa, Steady
- Subjects
FALL armyworm ,BASIC reproduction number ,MATHEMATICAL models ,BIOMASS ,AGRICULTURAL pests ,CORN - Abstract
Fall armyworm (Spodoptera frugiperda), a highly destructive and fast spreading agricultural pest native to North and South America, poses a real threat to global food security. In this paper, to explore the dynamics and implications of fall armyworm outbreak in a field of maize biomass, we propose a new dynamical system for maize biomass and fall armyworm interaction via Caputo fractional-order operator, which is not only a nonlocal operator but also contains all characteristics concerned with memory of the dynamical system. We define the basic reproduction number, which represents the average number of newborns produced by one individual female moth during its life span. We establish that the basic reproduction number is a threshold quantity, which determines persistence and extinction of the pest. Finally, we simulate the Caputo system using the Adam–Bashforth–Moulton method to illustrate the main results. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
20. State-of-art survey of fractional order modeling and estimation methods for lithium-ion batteries.
- Author
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Wang, YaNan, Chen, YangQuan, and Liao, XiaoZhong
- Subjects
PARAMETER identification ,KALMAN filtering ,ALGORITHMS - Abstract
This paper presents a state-of-art survey of the research on fractional-order (FO) modeling with parameter identification, and FO estimation methods for state of charge (SOC), state of health (SOH), and remaining usage life (RUL) of lithium-ion batteries (LIBs) mainly in recent five years. FO electrochemical models and six different types of FO equivalent circuit models (ECMs) are introduced in detail. Then, the corresponding tuning algorithm for parameters of these FO models are also provided in brief. Moreover, FO estimation methods for SOC are listed and analyzed, mainly including FO observers, and FO Kalman filters (FO-KFs). SOH and RUL estimation is another vital aspect for LIBs ageing and degradation monitoring, thus FO estimation methods proposed in recent research within five years are all listed. Finally, some suggestions that may be helpful for further research are proposed in conclusion. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
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21. Periodic Solutions of the N-Preys and M-Predators Model with Variable Rates on Time Scales.
- Author
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Negi, Shekhar Singh, Abbas, Syed, and Malik, Muslim
- Abstract
In this paper, we establish the existence of periodic solution of a delayed predator-prey model with M -predators and N -preys over the time scales. We derive sufficient conditions for the existence of a periodic solution with the help of continuation theorem of coincidence degree theory. At the end, we give an example with numerical simulations to illustrate our analytical findings. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
22. Three Dimensional Intruder Closest Point of Approach Estimation Based-on Monocular Image Parameters in Aircraft Sense and Avoid.
- Author
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Bauer, Peter, Hiba, Antal, Bokor, Jozsef, and Zarandy, Akos
- Abstract
The paper deals with monocular image-based sense and avoid assuming constant aircraft velocities and straight flight paths. From very limited two dimensional image information it finally characterizes the whole three dimensional collision situation by estimating the time to closest point of approach, the horizontal relative distance and its direction and the vertical relative distance also. The distances are relative to the intruder aircraft horizontal and vertical sizes. The overall estimated relative distance is the closest between the two aircraft in three dimension. So finally, every important information can be extracted to be used in a collision decision. The applicability of the developed method is presented in software-in-the-loop simulation test runs. Several intruder size and speed values are considered together with trajectories covering the whole three dimensional space. The horizontal intruder flight directions relative to the own aircraft cover 360
∘ and the intruder can come from below ar above also. Detailed evaluation and discussion of the results is also included. Finally, the missed detection rate results to be superior (below 3% in every test scenario) though the false alarm rate results a bit high between 7-14%. [ABSTRACT FROM AUTHOR]- Published
- 2019
- Full Text
- View/download PDF
23. Existence of fractional order semianalytical results for enzyme kinetics model
- Author
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Alrabaiah, Hussam, Ali, Amjad, Haq, Fazal, and Shah, Kamal
- Published
- 2020
- Full Text
- View/download PDF
24. Active and Reactive Energy Balance Equations in Active and Reactive Time
- Author
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Jeltsema, Dimitri and Kaiser, Gerald
- Subjects
Mathematics - Dynamical Systems ,93A30 - Abstract
Electrical networks, and physical systems in general, are known to satisfy a power balance equation which states that the rate of change of the energy in time equals the power at the port of the network minus the power dissipated. However, when complex power is considered, there does not seem to exist a similar statement for the imaginary power, either in the time-domain or the frequency-domain. Recently, in the context of electromagnetic fields, it has been shown by complexifying the time to t+js and interpreting s as reactive time, that it is possible to set up an imaginary power balance in terms of the rate of change of reactive energy in reactive time. Here these ideas are specialized to linear and time-invariant RLC networks. For non-sinusoidal waveforms it is shown that the rate of change of reactive energy in reactive time contains all the essential properties and features of the commonly accepted definition of reactive power under sinusoidal conditions. We believe that this provides an unambiguous and physically motivated resolution to the longstanding debate on how to generalize reactive power to non-sinusoidal waveforms., Comment: 6 pages and 2 figures
- Published
- 2016
25. A New Mathematical Approach in Environmental and Life Sciences: Gene–Environment Networks and Their Dynamics.
- Author
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Weber, G.-W., Alparslan-Gök, S., and Söyler, B.
- Subjects
LIFE sciences ,ENVIRONMENTAL sciences ,LIVING conditions ,STATICS & dynamics (Social sciences) ,CARBON dioxide ,EMISSION control ,ENVIRONMENTAL protection - Abstract
An important research area in life sciences is devoted to modeling, prediction, and dynamics of gene-expression patterns. As clearly understood in these days, this enterprise cannot become satisfactory without acknowledging the role of the environment. To a representation of past, present, and most likely future states, we also encounter measurement errors and uncertainties. This paper surveys and improves recent advances in understanding the foundations and interdisciplinary implications of the newly introduced gene–environment networks, and it integrates the important theme of carbon dioxide emission reduction into the networks and dynamics. We also introduce some operational and managerial issues of practical working and decision making, expressed in terms of sliding windows, quadrants ( modules) of parametric effects, and navigating ( controlling) between such effects and directing them. Given data from DNA microarray experiments and environmental records, we extract nonlinear ordinary differential equations that contain parameters that have to be determined. For this, we employ modern (Chebychevian) approximation and (generalized semi-infinite) optimization. After this is provided, time- discretized dynamical systems are studied. A combinatorial algorithm with polyhedra sequences allows to detect the region of parametric stability. Finally, we analyze the topological landscape of gene–environment networks with its structural (in)stability. By embedding as a module and investigating CO
2 emission control and figuring out game theoretical aspects, we conclude. This pioneering work is theoretically elaborated, practically devoted to health care, medicine, education, living conditions, and environmental protection, and it invites the readers to future research. [ABSTRACT FROM AUTHOR]- Published
- 2009
- Full Text
- View/download PDF
26. Greymodels: A Shiny Package for Grey Forecasting Models in R
- Author
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Jahajeeah, Havisha and Saib, Aslam A. E. F.
- Published
- 2024
- Full Text
- View/download PDF
27. Mathematical Modelling and Parameter Optimization of Pulsating Heat Pipes
- Author
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Yang, Xin-She, Karamanoglu, Mehmet, Luan, Tao, and Koziel, Slawomir
- Subjects
Mathematics - Optimization and Control ,Physics - Computational Physics ,93A30 - Abstract
Proper heat transfer management is important to key electronic components in microelectronic applications. Pulsating heat pipes (PHP) can be an efficient solution to such heat transfer problems. However, mathematical modelling of a PHP system is still very challenging, due to the complexity and multiphysics nature of the system. In this work, we present a simplified, two-phase heat transfer model, and our analysis shows that it can make good predictions about startup characteristics. Furthermore, by considering parameter estimation as a nonlinear constrained optimization problem, we have used the firefly algorithm to find parameter estimates efficiently. We have also demonstrated that it is possible to obtain good estimates of key parameters using very limited experimental data.
- Published
- 2014
28. Variable demand model for periodically reviewing with allowing refunding parts of the orders.
- Author
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Hollah, O. M.
- Abstract
Depending on a field study for one of the largest iron and paints warehouses in Egypt, this paper presents a new multi-item periodic review inventory model considering the refunding quantity cost. Through this field study, we found that the inventory level is monitored periodically at equal time intervals. Returning a part of the goods that were previously ordered is permitted. Also, a shortage is permissible to occur despite having orders, and it is a combination of the backorder and lost sales. This model has been applied in both crisp and fuzzy environments since the fuzzy case is more suitable for real-life than crisp. The Lagrange multiplier technique is used for solving the restricted mathematical model. Here, the demand is a random variable that follows the normal distribution with zero lead-time. Finally, the model is followed by a real application to clarify the model and prove its efficiency. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
29. Residual Based Sampling in POD Model Order Reduction of Drift-Diffusion Equations in Parametrized Electrical Networks
- Author
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Hinze, Michael and Kunkel, Martin
- Subjects
Mathematics - Numerical Analysis ,93A30 ,65B99 ,65M60 ,65M20 - Abstract
We consider integrated circuits with semiconductors modeled by modified nodal analysis and drift-diffusion equations. The drift-diffusion equations are discretized in space using mixed finite element method. This discretization yields a high dimensional differential-algebraic equation. We show how proper orthogonal decomposition (POD) can be used to reduce the dimension of the model. We compare reduced and fine models and give numerical results for a basic network with one diode. Furthermore we discuss an adaptive approach to construct POD models which are valid over certain parameter ranges. Finally, numerical investigations for the reduction of a 4-diode rectifier network are presented, which clearly indicate that POD model reduction delivers surrogate models for the diodes involved, which depend on the position of the semiconductor in the network.
- Published
- 2010
30. Understanding Terrorist Organizations with a Dynamic Model
- Author
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Gutfraind, Alexander
- Subjects
Mathematics - Dynamical Systems ,34A30 ,91F10 ,93A30 - Abstract
Terrorist organizations change over time because of processes such as recruitment and training as well as counter-terrorism (CT) measures, but the effects of these processes are typically studied qualitatively and in separation from each other. Seeking a more quantitative and integrated understanding, we constructed a simple dynamic model where equations describe how these processes change an organization's membership. Analysis of the model yields a number of intuitive as well as novel findings. Most importantly it becomes possible to predict whether counter-terrorism measures would be sufficient to defeat the organization. Furthermore, we can prove in general that an organization would collapse if its strength and its pool of foot soldiers decline simultaneously. In contrast, a simultaneous decline in its strength and its pool of leaders is often insufficient and short-termed. These results and other like them demonstrate the great potential of dynamic models for informing terrorism scholarship and counter-terrorism policy making., Comment: To appear as Springer Lecture Notes in Computer Science v2: vectorized 4 figures, fixed two typos, more detailed bibliography
- Published
- 2008
- Full Text
- View/download PDF
31. Observability and Detectability of Linear Switching Systems: A Structural Approach
- Author
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De Santis, Elena, Di Benedetto, Maria Domenica, and Pola, Giordano
- Subjects
Mathematics - Dynamical Systems ,93A30 - Abstract
We define observability and detectability for linear switching systems as the possibility of reconstructing and respectively of asymptotically reconstructing the hybrid state of the system from the knowledge of the output for a suitable choice of the control input. We derive a necessary and sufficient condition for observability that can be verified computationally. A characterization of control inputs ensuring observability of switching systems is given. Moreover, we prove that checking detectability of a linear switching system is equivalent to checking asymptotic stability of a suitable switching system with guards extracted from it, thus providing interesting links to Kalman decomposition and the theory of stability of hybrid systems.
- Published
- 2008
32. Dynamical analysis of a fractional-order foot-and-mouth disease model
- Author
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Gashirai, Tinashe B., Hove-Musekwa, Senelani D., and Mushayabasa, Steady
- Published
- 2021
- Full Text
- View/download PDF
33. Weak-Hamiltonian dynamical systems
- Author
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Vaisman, Izu
- Subjects
Mathematics - Symplectic Geometry ,53D20 ,70H45 ,93A30 - Abstract
A big-isotropic structure $E$ is an isotropic subbundle of $TM\oplus T^*M$, endowed with the metric defined by pairing. The structure $E$ is said to be integrable if the Courant bracket $[\mathcal{X},\mathcal{Y}]\in\Gamma E$, $\forall\mathcal{X},\mathcal{Y}\in\Gamma E$. Then, necessarily, one also has $[\mathcal{X},\mathcal{Z}]\in\Gamma E^\perp$, $\forall\mathcal{Z}\in\Gamma E^\perp$ \cite{V-iso}. A weak-Hamiltonian dynamical system is a vector field $X_H$ such that $(X_H,dH)\in E^\perp$ $(H\in C^\infty(M))$. We obtain the explicit expression of $X_H$ and of the integrability conditions of $E$ under the regularity condition $dim(pr_{T^*M}E)=const.$ We show that the port-controlled, Hamiltonian systems (in particular, constrained mechanics) \cite{{BR},{DS}} may be interpreted as weak-Hamiltonian systems. Finally, we give reduction theorems for weak-Hamiltonian systems and a corresponding corollary for constrained mechanical systems., Comment: 19 pages, minor improvements
- Published
- 2007
- Full Text
- View/download PDF
34. Some Results on Algebraic and Geometric Characterization of Linear Systems Models for Time Series Analysis
- Author
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Neto, Joao Jose de Farias
- Subjects
Mathematics - Optimization and Control ,Mathematics - Differential Geometry ,93C05 ,93A30 ,93B29 ,93B30 - Abstract
It is shown that in the multivariate case the orders p, of the AR part, and q, of the MA part, are not invariants of the time series. Thus, it is concluded that it only makes sense to define the class of ARMA(p,p)- irreducible models, where p is the biggest of the system's Kronecker indices. This class is shown not to be a differentiable manifold, but to contain one, which is a generic subset of systems with all Kronecker indices equal to p. A formula which gives the metric tensor for riemannian manifolds of linear systems as a line integral in the complex plane is introduced for deterministic and stochastic cases and some tensors are obtained with it., Comment: 27 pages, english
- Published
- 2004
35. Calculation of Linear Systems Metric Tensors via Algebraic Computation
- Author
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Neto, Joao Jose de Farias
- Subjects
Mathematics - Optimization and Control ,Mathematics - Differential Geometry ,93C05 ,93A30 ,93B29 ,93B30 - Abstract
A formula for the Riemannian metric tensor of differentiable manifolds of linear dynamical systems of same McMillan degree is presented in terms of their transfer function matrices. The necessary calculations for its application to ARMA and state space overlapping parametrizations are drafted. The importance of this approach for systems identification and multiple time series analysis and forecasting is explained., Comment: 3 pages in portuguese, reference links to author's detailed proofs in english
- Published
- 2002
36. A Note on Applications of Support Vector Machine
- Author
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Ahn, Seung-chan, Kim, Gene, and Kim, MyungHo
- Subjects
Mathematics - Optimization and Control ,Mathematics - Numerical Analysis ,Quantitative Biology ,93A30 ,J3 ,92B05 ,65K05 ,90C20 - Abstract
We describe in a rudimentary fashion how SVM(support vector machine) plays the role of classifier in a mathematical setting. We then discuss its application in the study of multiple SNP(single nucleotide polymorphism) variations. Also presented is a set of preliminary test results with clinical data., Comment: Presentations accepted to DIMACS workshop and International Conference on Mathematical and Theoretical Biology And Annual Meeting of the Society for Mathematical Biology Joint with Japanese Association for Mathematical Biology
- Published
- 2001
37. Modeling the impact of early therapy for latent tuberculosis patients and its optimal control analysis.
- Author
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Mushayabasa, S. and Bhunu, C.
- Subjects
TUBERCULOSIS treatment ,OPTIMAL control theory ,COMMUNICABLE diseases ,PSYCHOSOCIAL factors ,MEDICAL care ,TUBERCULOSIS patients - Abstract
Effective tuberculosis (TB) control depends on case findings to discover infectious cases, investigation of contacts of those with TB, as well as appropriate treatment. Adherence and successful completion of the treatment are equally important. Unfortunately, due to a number of personal, psychosocial, economic, medical, and health service factors, a significant number of TB patients become irregular and default from treatment. In this paper, a mathematical model is developed to assess the impact of early therapy for latent TB and non-adherence on controlling TB transmission dynamics. Equilibrium states of the model are determined and their local stability is examined. With the aid of the center manifold theory, it is established that the model undergoes a backward bifurcation. Qualitative mathematical analysis of the model suggests that a high level of latent tuberculosis case findings, coupled with a decrease of defaulting rate, may be effective in controlling TB transmission dynamics in the community. Population-level effects of organized campaigns to improve early therapy and to guarantee successful completion of each treatment are evaluated through numerical simulations and presented in support of the analytical results. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
38. Analysis of recruitment and industrial human resources management for optimal productivity in the presence of the HIV/AIDS epidemic.
- Author
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Okosun, Kazeem, Makinde, Oluwole, and Takaidza, Isaac
- Subjects
PERSONNEL management ,HIV infections ,AIDS ,LABOR supply ,OPTIMAL control theory ,COMPUTER simulation - Abstract
The aim of this paper is to analyze the recruitment effects of susceptible and infected individuals in order to assess the productivity of an organizational labor force in the presence of HIV/AIDS with preventive and HAART treatment measures in enhancing the workforce output. We consider constant controls as well as time-dependent controls. In the constant control case, we calculate the basic reproduction number and investigate the existence and stability of equilibria. The model is found to exhibit backward and Hopf bifurcations, implying that for the disease to be eradicated, the basic reproductive number must be below a critical value of less than one. We also investigate, by calculating sensitivity indices, the sensitivity of the basic reproductive number to the model's parameters. In the time-dependent control case, we use Pontryagin's maximum principle to derive necessary conditions for the optimal control of the disease. Finally, numerical simulations are performed to illustrate the analytical results. The cost-effectiveness analysis results show that optimal efforts on recruitment (HIV screening of applicants, etc.) is not the most cost-effective strategy to enhance productivity in the organizational labor force. Hence, to enhance employees' productivity, effective education programs and strict adherence to preventive measures should be promoted. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
39. On a drug-resistant malaria model with susceptible individuals without access to basic amenities.
- Author
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Okosun, Kazeem and Makinde, Oluwole
- Subjects
MALARIA treatment ,DRUG resistance in microorganisms ,MICROBIAL sensitivity tests ,INFECTIOUS disease transmission ,EPIDEMICS ,SENSITIVITY analysis ,COST effectiveness ,COMPUTER simulation - Abstract
In this paper, a deterministic malaria transmission model in the presence of a drug-resistant strain is investigated. The model is studied using stability theory of differential equations, optimal control, and computer simulation. The threshold condition for disease-free equilibrium is found to be locally asymptotically stable and can only be achieved in the absence of a drug-resistant strain in the population. The existence of multiple endemic equilibria is also established. Both the Sensitivity Index (SI) of the model parameters and the Incremental Cost-Effectiveness Ratio (ICER) for all possible combinations of the disease-control measures are determined. Our results revealed among others that the most cost-effective strategy for drug-resistant malaria control is the combination of the provision of basic amenities (such as access to clean water, electricity, good roads, health care, and education) and treatment of infective individuals. Therefore, more efforts from policy-makers on the provisions of basic amenities and treatment of infectives would go a long way to combat the malaria epidemic. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
40. Robust portfolio asset allocation and risk measures.
- Author
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Scutellà, Maria and Recchia, Raffaella
- Abstract
Many financial optimization problems involve future values of security prices, interest rates and exchange rates which are not known in advance, but can only be forecast or estimated. Several methodologies have therefore, been proposed to handle the uncertainty in financial optimization problems. One such methodology is Robust Statistics, which addresses the problem of making estimates of the uncertain parameters that are insensitive to small variations. A different way to achieve robustness is provided by Robust Optimization which, given optimization problems with uncertain parameters, looks for solutions that will achieve good objective function values for the realization of these parameters in given uncertainty sets. Robust Optimization thus offers a vehicle to incorporate an estimation of uncertain parameters into the decision making process. This is true, for example, in portfolio asset allocation. Starting with the robust counterparts of the classical mean-variance and minimum-variance portfolio optimization problems, in this paper we review several mathematical models, and related algorithmic approaches, that have recently been proposed to address uncertainty in portfolio asset allocation, focusing on Robust Optimization methodology. We also give an overview of some of the computational results that have been obtained with the described approaches. In addition we analyse the relationship between the concepts of robustness and convex risk measures. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
41. Mathematical modeling of trypanosomiasis control strategies in communities where human, cattle and wildlife interact.
- Author
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Helikumi, Mlyashimbi and Mushayabasa, Steady
- Subjects
TRYPANOSOMIASIS ,MATHEMATICAL models ,REPRODUCTION ,LIVESTOCK ,VECTOR control - Abstract
Spillover of trypanosomiasis parasites from wildlife to domestic livestock and humans remains a major challenge world over. With the disease targeted for elimination by 2030, assessing the impact of control strategies in communities where there are human-cattle-wildlife interactions is therefore essential. A compartmental framework incorporating tsetse flies, humans, cattle, wildlife and various disease control strategies is developed and analyzed. The reproduction is derived and its sensitivity to different model parameters is investigated. Meanwhile, the optimal control theory is used to identify a combination of control strategies capable of minimizing the infected human and cattle population over time at minimal costs of implementation. The results indicates that tsetse fly mortality rate is strongly and negatively correlated to the reproduction number. It is also established that tsetse fly feeding rate in strongly and positively correlated to the reproduction number. Simulation results indicates that time dependent control strategies can significantly reduce the infections. Overall, the study shows that screening and treatment of humans may not lead to disease elimination. Combining this strategy with other strategies such as screening and treatment of cattle and vector control strategies will result in maximum reduction of tsetse fly population and disease elimination. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
42. Dynamic social balance and convergent appraisals via homophily and influence mechanisms
- Author
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Mei, Wenjun, Cisneros-Velarde, Pedro, Chen, Ge, Friedkin, Noah E, and Bullo, Francesco
- Subjects
Mathematical Sciences ,Structural balance ,Multi-agent systems ,Homophily/Influence mechanisms ,Nonlinear network dynamics ,cs.SI ,91D30 ,37N99 ,93A30 ,Information and Computing Sciences ,Engineering ,Industrial Engineering & Automation ,Information and computing sciences ,Mathematical sciences - Abstract
Social balance theory describes allowable and forbidden configurations of thetopologies of signed directed social appraisal networks. In this paper, wepropose two discrete-time dynamical systems that explain how an appraisalnetwork \textcolor{blue}{converges to} social balance from an initiallyunbalanced configuration. These two models are based on two differentsocio-psychological mechanisms respectively: the homophily mechanism and theinfluence mechanism. Our main theoretical contribution is a comprehensiveanalysis for both models in three steps. First, we establish the well-posednessand bounded evolution of the interpersonal appraisals. Second, we fullycharacterize the set of equilibrium points; for both models, each equilibriumnetwork is composed by an arbitrary number of complete subgraphs satisfyingstructural balance. Third, we establish the equivalence among three distinctproperties: non-vanishing appraisals, convergence to all-to-all appraisalnetworks, and finite-time achievement of social balance. In addition totheoretical analysis, Monte Carlo validations illustrates how the non-vanishingappraisal condition holds for generic initial conditions in both models.Moreover, numerical comparison between the two models indicate that thehomophily-based model might be a more universal explanation for the formationof social balance. Finally, adopting the homophily-based model, we presentnumerical results on the mediation and globalization of local conflicts, thecompetition for allies, and the asymptotic formation of a single versus twofactions.
- Published
- 2019
43. Mathematical model for Zika virus dynamics with sexual transmission route.
- Author
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Agusto, F.B., Bewick, S., and Fagan, W.F.
- Subjects
MATHEMATICAL models ,ZIKA virus ,VIRAL transmission ,AEDES ,DIFFERENTIAL equations - Abstract
Zika virus is a flavivirus transmitted to humans primarily through the bite of infected Aedes mosquitoes. In addition to vector-borne spread, however, the virus can also be transmitted through sexual contact. In this paper, we formulate and analyze a new system of ordinary differential equations which incorporates both vector and sexual transmission routes. Theoretical analysis of this model when there is no disease induced mortality shows that the disease-free equilibrium is locally and globally asymptotically stable whenever the associated reproduction number is less than unity and unstable otherwise. However, when we extend this same model to include Zika induced mortality, which have been documented in Latin America, we find that the model exhibits a backward bifurcation. Specifically, a stable disease-free equilibrium co-exists with a stable endemic equilibrium when the associated reproduction number is less than unity. To further explore model predictions, we use numerical simulations to assess the importance of sexual transmission to disease dynamics. This analysis shows that risky behavior involving multiple sexual partners, particularly among male populations, substantially increases the number of infected individuals in the population, contributing significantly to the disease burden in the community. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
44. On modeling of coronavirus-19 disease under Mittag-Leffler power law.
- Author
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Bushnaq, Samia, Shah, Kamal, and Alrabaiah, Hussam
- Subjects
MEDICAL model ,COVID-19 ,COMPUTER simulation - Abstract
This paper investigates a new model on coronavirus-19 disease (COVID-19) with three compartments including susceptible, infected, and recovered class under Mittag-Leffler type derivative. The mentioned derivative has been introduced by Atangana, Baleanu, and Caputo abbreviated as (ABC) . Upon utilizing fixed point theory, we first prove the existence of at least one solution for the considered model and its uniqueness. Also, some results about stability of Ulam–Hyers type are also established. By applying a numerical technique called fractional Adams–Bashforth (AB) method, we develop a scheme for the approximate solutions to the considered model. Using some real available data, we perform the concerned numerical simulation corresponding to different values of fractional order. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
45. Open-loop control of cavity noise using Proper Orthogonal Decomposition reduced-order model.
- Author
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Nagarajan, Kaushik Kumar, Singha, Sintu, Cordier, Laurent, and Airiau, Christophe
- Subjects
- *
PROPER orthogonal decomposition , *NOISE control , *SHEAR flow , *ROBUST control , *NAVIER-Stokes equations , *COMPRESSIBLE flow - Abstract
Flow over open cavities is mainly governed by a feedback mechanism due to the interaction of shear layer instabilities and acoustic forcing propagating upstream in the cavity. This phenomenon is known to lead to resonant tones that can reach 180 dB in the far-field and may cause structural fatigue issues and annoying noise emission. This paper concerns the use of optimal control theory for reducing the noise level emitted by the cavity. Boundary control is introduced at the cavity upstream corner as a normal velocity component. Model-based optimal control of cavity noise involves multiple simulations of the compressible Navier–Stokes equations and its adjoint, which makes it a computationally expensive optimization approach. To reduce the computational costs, we propose to use a reduced-order model (ROM) based on Proper Orthogonal Decomposition (POD) as a surrogate model of the forward simulation. For that, a control input separation method is first used to introduce explicitly the control effect in the model. Then, an accurate and robust POD ROM is derived by using an optimization-based identification procedure and generalized POD modes, respectively. Since the POD modes describe only velocities and speed of sound, we minimize a noise-related cost functional characteristic of the total enthalpy unsteadiness. After optimizing the control function with the reduced-order model, we verify the optimality of the solution using the original, high-fidelity model. A maximum noise reduction of 4.7 dB is reached in the cavity and up to 16 dB at the far-field. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
46. Probabilistic Kernel Support Vector Machines
- Author
-
Chen, Yongxin, Georgiou, Tryphon T, and Tannenbaum, Allen R
- Subjects
cs.LG ,cs.SY ,eess.SY ,stat.ML ,62G05 ,93A30 - Abstract
We propose a probabilistic enhancement of standard kernel Support VectorMachines for binary classification, in order to address the case when, alongwith given data sets, a description of uncertainty (e.g., error bounds) may beavailable on each datum. In the present paper, we specifically considerGaussian distributions to model uncertainty. Thereby, our data consist of pairs$(x_i,\Sigma_i)$, $i\in\{1,\ldots,N\}$, along with an indicator$y_i\in\{-1,1\}$ to declare membership in one of two categories for each pair.These pairs may be viewed to represent the mean and covariance, respectively,of random vectors $\xi_i$ taking values in a suitable linear space (typically$\mathbb R^n$). Thus, our setting may also be viewed as a modification ofSupport Vector Machines to classify distributions, albeit, at present, onlyGaussian ones. We outline the formalism that allows computing suitableclassifiers via a natural modification of the standard "kernel trick." The maincontribution of this work is to point out a suitable kernel function forapplying Support Vector techniques to the setting of uncertain data for which adetailed uncertainty description is also available (herein, "Gaussian points").
- Published
- 2019
47. On existence and semi-analytical results to fractional order mathematical model of COVID-19.
- Author
-
Khan, Faiz Muhammad, Ali, Amjad, and Khan, Zia Ullah
- Subjects
COVID-19 pandemic ,FIXED point theory ,MATHEMATICAL models ,COVID-19 ,CORONAVIRUSES - Abstract
Corona virus disease 2019 (Covid-19) is an illness caused by a natural corona virus called severe acute respiratory syndromes corona virus 2 (SARS-COV-2 formally called Covid-19) which is respiratory illness and has been declared the Covid-19 outbreak a global pandemic by World Health Organization (WHO). Presently, Covid-19 becomes a health concern around the globe. In present article, we investigated the dynamics of Covid-19 infectious disease under the fractional order derivative from both theoretical as well as analytical aspects. Using fixed-point theory results, we developed the indispensable conditions for the existence of the solution of the proposed model. Further we have used the techniques of Laplace transform coupled with the Adomian's decomposition method to obtain the semi analytical solution for the model under consideration. Finally we have provided some graphical presentation corresponding to different fractional order derivatives via Matlab for the desired solutions. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
48. Analysis of enterprise management technology and innovation based on multilinear regression model
- Author
-
Du Fangfang, Bahaddad Adel A., and Kharabsheh Radwan
- Subjects
multivariate linearity ,regression model ,enterprise management ,technology ,innovation ,f test ,t test ,93a30 ,Mathematics ,QA1-939 - Abstract
With the continuous innovation of scientific research, technological level and social and economic development, the technological innovation of enterprises in the continuous management is also facing a new breakthrough and upgrade. Especially for enterprises in the era of big data, in order to better respond to the new demands of the development of the new era, enterprise managers should make effective technological innovation from the global economic growth trend on the basis of clarifying their own development advantages. Therefore, on the basis of understanding the multiple linear regression model and its construction conditions, this paper analyses the influencing variables in the actual development according to the current management technology and innovation of enterprises, and obtains the clear results of the model research.
- Published
- 2021
- Full Text
- View/download PDF
49. Mathematical function data model analysis and synthesis system based on short-term human movement
- Author
-
An Xuemei, Yang Rui, Alghazzawi Daniyal M., and Joseph Nympha Rita
- Subjects
short-term behaviour ,human motion recognition ,mathematical function model ,wearable motion capture system ,93a30 ,Mathematics ,QA1-939 - Abstract
The paper proposes a data model analysis algorithm for human motion function based on short-term behaviour. The algorithm uses a functional data analysis (FDA) method to perform Fourier fitting on the motion data and extract the fitted approximate single period data. Finally, the algorithm depicts the internal change in the motion in the low-dimensional space. The study found that the characteristic motion data obtained by the algorithm has smooth characteristics, and the relevant case analysis also verifies the algorithm's effectiveness.
- Published
- 2021
- Full Text
- View/download PDF
50. Application of artificial intelligence algorithm in mathematical modelling and solving
- Author
-
Yao Haiyan
- Subjects
artificial intelligence algorithm ,mathematical modeling ,application ,93a30 ,Mathematics ,QA1-939 - Abstract
To help people solve unsolved problems in everyday life and solve the complexity of life, this paper proposes an artificial intelligence algorithm and establishes a mathematical model for simulation experiments. The results show that the artificial intelligence algorithm can search the optimal solution in a short time, with a success rate of 95.87%. Under the same conditions, relative to other algorithms, it can not only improve the success rate of the optimal solution, but also the search solution has very significant advantages.
- Published
- 2021
- Full Text
- View/download PDF
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