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Block cutpoint decomposition for markovian queueing systems

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  • Dale R. Fox

Abstract

Steady‐state probabilities of Markov Processes are computed by enumerating subgraphs of the transition diagram of the process. The presence of cutpoints in the transition diagram allows for decomposition of the problem into smaller components. Examples from queueing theory are presented. Matrix representations for these structures are also discussed.

Suggested Citation

  • Dale R. Fox, 1988. "Block cutpoint decomposition for markovian queueing systems," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 4(2), pages 101-114, June.
    • Handle: RePEc:wly:apsmda:v:4:y:1988:i:2:p:101-114
    DOI: 10.1002/asm.3150040205
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    Cited by:

    1. Li, Long & Yang, Yu & Hui, Zhi-hao & Jin, Bang-Bang & Wang, Hua & Fahad, Asfand & Zhang, Heng, 2024. "Algorithms for enumerating multiple leaf-distance granular regular α-subtree of unicyclic and edge-disjoint bicyclic graphs," Applied Mathematics and Computation, Elsevier, vol. 462(C).
    2. Yu Yang & An Wang & Hua Wang & Wei-Ting Zhao & Dao-Qiang Sun, 2019. "On Subtrees of Fan Graphs, Wheel Graphs, and “Partitions” of Wheel Graphs under Dynamic Evolution," Mathematics, MDPI, vol. 7(5), pages 1-19, May.
    3. Yu Yang & Long Li & Wenhu Wang & Hua Wang, 2020. "On BC-Subtrees in Multi-Fan and Multi-Wheel Graphs," Mathematics, MDPI, vol. 9(1), pages 1-29, December.

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