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6. Markovian Degradation Modeling on Rails

Author

Bisgaard, Albert Skovgaard, primary, Harrod, Steven, additional, Møller, Jan Kloppenborg, additional, Nielsen, Bo Friis, additional, Rasmussen, Carsten Jørn, additional, Bjørge, Thomas Vatn, additional, and Vatn, Jørn, additional

Published
2024
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9. Regeneration and Harris Chains

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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10. Multivariate Distributions

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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11. Markov Additive Processes

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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12. Random Walks

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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13. Renewal Theory

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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14. Martingales and More General Markov Processes

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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15. Markovian Point Processes

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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16. Preliminaries on Stochastic Processes

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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17. Phase-Type Distributions

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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18. Matrix-Exponential Distributions

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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19. Estimation of Phase-Type Distributions

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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20. Some Applications to Risk Theory

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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21. Statistical Methods for Markov Processes

Author

Bladt, Mogens, Nielsen, Bo Friis, Glynn, Peter W., Editor-in-chief, Kyprianou, Andreas E., Editor-in-chief, Le Jan, Yves, Editor-in-chief, Asmussen, Søren, Series editor, Hairer, Martin, Series editor, Jagers, Peter, Series editor, Karatzas, Ioannis, Series editor, Kelly, Frank P., Series editor, Øksendal, Bernt, Series editor, Papanicolaou, George, Series editor, Pardoux, Etienne, Series editor, Perkins, Edwin, Series editor, Soner, Halil Mete, Series editor, Bladt, Mogens, and Nielsen, Bo Friis

Published
2017
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23. Roadmap Document on Stochastic Analysis

Author

Nielsen, Bo Friis, Nielson, Flemming, Pilegaard, Henrik, Smith, Michael James Andrew, Yüksel, Ender, Zeng, Kebin, and Zhang, Lijun

Subjects
Computer Science - Logic in Computer Science, Computer Science - Formal Languages and Automata Theory
Abstract

This document was prepared as part of the MT-LAB research centre. The research centre studies the Modelling of Information Technology and is a VKR Centre of Excellence funded for five years by the VILLUM Foundation. You can read more about MT-LAB at its webpage www.MT-LAB.dk. The goal of the document is to serve as an introduction to new PhD students addressing the research goals of MT-LAB. As such it aims to provide an overview of a number of selected approaches to the modelling of stochastic systems. It should be readable not only by computers scientists with a background in formal methods but also by PhD students in stochastics that are interested in understanding the computer science approach to stochastic model checking. We have no intention of being encyclopedic in our treatment of the approaches or the literature. Rather we have made the selection of material based on the competences of the groups involved in or closely affiliated to MT-LAB, so as to ease the task of the PhD students in navigating an otherwise vast amount of literature. We have decided to publish the document in case other young researchers may find it helpful. The list of authors reflect those that have at times played a significant role in the production of the document., Comment: This work has been supported by MT-LAB, a VKR Centre of Excellence for the Modelling of Information Technology

Published
2012

24. A Stochastic Broadcast Pi-Calculus

Author

Song, Lei, Nielson, Flemming, and Nielsen, Bo Friis

Subjects
Computer Science - Performance
Abstract

In this paper we propose a stochastic broadcast PI-calculus which can be used to model server-client based systems where synchronization is always governed by only one participant. Therefore, there is no need to determine the joint synchronization rates. We also take immediate transitions into account which is useful to model behaviors with no impact on the temporal properties of a system. Since immediate transitions may introduce non-determinism, we will show how these non-determinism can be resolved, and as result a valid CTMC will be obtained finally. Also some practical examples are given to show the application of this calculus., Comment: In Proceedings QAPL 2011, arXiv:1107.0746

Published
2011
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27. Bilateral Matrix-Exponential Distributions

Author

Bladt, Mogens, Esparza, Luz Judith R., Nielsen, Bo Friis, Latouche, Guy, editor, Ramaswami, Vaidyanathan, editor, Sethuraman, Jay, editor, Sigman, Karl, editor, Squillante, Mark S., editor, and D. Yao, David, editor

Published
2013
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28. Maximizing Entropy over Markov Processes

Author

Biondi, Fabrizio, Legay, Axel, Nielsen, Bo Friis, Wąsowski, Andrzej, Hutchison, David, editor, Kanade, Takeo, editor, Kittler, Josef, editor, Kleinberg, Jon M., editor, Mattern, Friedemann, editor, Mitchell, John C., editor, Naor, Moni, editor, Nierstrasz, Oscar, editor, Pandu Rangan, C., editor, Steffen, Bernhard, editor, Sudan, Madhu, editor, Terzopoulos, Demetri, editor, Tygar, Doug, editor, Vardi, Moshe Y., editor, Weikum, Gerhard, editor, Dediu, Adrian-Horia, editor, Martín-Vide, Carlos, editor, and Truthe, Bianca, editor

Published
2013
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45. Application of Data Clustering to Railway Delay Pattern Recognition

Author

Cerreto, Fabrizio, Nielsen, Bo Friis, Nielsen, Otto Anker, and Harrod, Steven S.

Subjects
Railroads, Big data, Transportation industry
Abstract

K-means clustering is employed to identify recurrent delay patterns on a high traffic railway line north of Copenhagen, Denmark. The clusters identify behavioral patterns in the very large ('big data') datasets generated automatically and continuously by the railway signal system. The results reveal the conditions where corrective actions are necessary, showing the cases where recurrent delay patterns take place. Delay profiles and delay change profiles are generated from timestamps to compare different train runs and to partition the set of observations into groups of similar elements. K-means clustering can identify and discriminate different patterns affecting the same stations, which is otherwise difficult in previous approaches based on visual inspection. Classical methods of univariate analysis do not reveal these patterns. The demonstrated methodology is scalable and can be applied to any system of transport., 1. Introduction Operations analysis is the collection and review of performance data, such as punctuality and process cycle time. It is a key step in the continuous improvement of transport [...]

Published
2018
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50. Phase-type models of channel-holding times in cellular communication systems

Author

Christensen, Thomas Kaare, Nielsen, Bo Friis, and Iversen, Villy Baek

Subjects
Business, Electronics, Electronics and electrical industries, Transportation industry
Abstract

In this paper, we derive the distribution of the channel-holding time when both cell-residence and call-holding times are phase-type distributed. Furthermore, the distribution of the number of handovers, the conditional channel-holding time distributions, and the channel-holding time when cell residence times are correlated are derived. All distributions are of phase type, making them very general and flexible. The channel-holding times are of importance in performance evaluation and simulation of cellular mobile communication systems. Index Terms--Call-holding time, cell-residence time, mobility.

Published
2004

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