A classification and review of timed Markov models of manufacturing systems

Chrysoleon Papadopoulos, Jingshan Li, Michael E.J. O'Kelly

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

Many problems in manufacturing systems can be formulated via Markov stochastic modeling. This paper gives a review and classification of timed models of manufacturing systems with particular emphasis on Markov models. As the associated Markov chains of even small systems are characterized by the well-known state explosion or largeness problem, the review continues on with the models and methods for the numerical solutions of large Markov chains. In addition, the software tools are summarized. Finally, the paper provides some challenges and directions for further research on the modeling of manufacturing systems.

Original languageEnglish
Pages (from-to)219-244
Number of pages26
JournalComputers and Industrial Engineering
Volume128
DOIs
Publication statusPublished - Feb 1 2019

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Markov processes
Explosions

Keywords

  • Discrete-event dynamic systems
  • Large Markov chains
  • Largeness problem
  • Manufacturing systems
  • Markov models
  • Numerical solution
  • Software tools
  • Timed models

ASJC Scopus subject areas

  • Computer Science(all)
  • Engineering(all)

Cite this

A classification and review of timed Markov models of manufacturing systems. / Papadopoulos, Chrysoleon; Li, Jingshan; O'Kelly, Michael E.J.

In: Computers and Industrial Engineering, Vol. 128, 01.02.2019, p. 219-244.

Research output: Contribution to journal › Article

Papadopoulos, C, Li, J & O'Kelly, MEJ 2019, 'A classification and review of timed Markov models of manufacturing systems', Computers and Industrial Engineering, vol. 128, pp. 219-244. https://doi.org/10.1016/j.cie.2018.12.019
Papadopoulos C, Li J, O'Kelly MEJ. A classification and review of timed Markov models of manufacturing systems. Computers and Industrial Engineering. 2019 Feb 1;128:219-244. https://doi.org/10.1016/j.cie.2018.12.019
Papadopoulos, Chrysoleon ; Li, Jingshan ; O'Kelly, Michael E.J. / A classification and review of timed Markov models of manufacturing systems. In: Computers and Industrial Engineering. 2019 ; Vol. 128. pp. 219-244.
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