1. Expected performance evaluation and optimization of a multi-distribution multi-state logistics network based on network reliability.
- Author
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Niu, Yi-Feng, Xiang, Hai-Yan, and Xu, Xiu-Zhen
- Subjects
- *
ALGORITHMS , *COST , *LOGISTICS , *ADDITIVES , *MEASUREMENT - Abstract
• A more direct relationship between expected performance (EP) and network reliability is presented. • An improved d -MC additive algorithm is proposed to compute EP. • An EP optimization model is developed under the cost constraint, along with an efficient solution method. In this paper, a logistics network is modeled as a cost-related multi-distribution multi-state flow network (CMMFN) where each arc is featured with more than one capacity distribution and each capacity distribution corresponds to a specific cost. Expected performance (EP) that represents the probability-weighted average delivery capacity can serve as a comprehensive measurement of the operational quality of a logistics network. A more direct relationship between EP and network reliability is constructed, and then an improved d -minimal cut (d -MC) additive algorithm is presented to compute EP. Moreover, an EP optimization model is developed subject to a given cost. To facilitate the solution of the EP optimization model, a concept of critical cost vector is defined and a method, called CCV method, is put forth to find all critical cost vectors. Finally, an efficient algorithm integrating the improved d -MC algorithm with the CCV method is proposed for the EP model. An illustration of the proposed model and methods is given through an example; moreover, their applications are demonstrated via a case study. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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