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Markov-Chain Approach

In: Performance Analysis of Closed Queueing Networks

Author

Listed:
  • Svenja Lagershausen

    (University of Cologne)

Abstract

In this chapter, an analytical approach is presented for deriving the exact performance measures of closed queueing networks with finite buffer capacities, phase-type distributed processing times, and single servers. The closed queueing networks are represented by continuous-time Markov chains with discrete state space. We obtain the performance measures by setting up and solving a single Markov chain for the entire queueing system. Blocking is considered in blocking states that are subject to the phase-type distribution. The implementation allows an automated evaluation of an arbitrary number of configurations.

Suggested Citation

  • Svenja Lagershausen, 2013. "Markov-Chain Approach," Lecture Notes in Economics and Mathematical Systems, in: Performance Analysis of Closed Queueing Networks, edition 127, chapter 0, pages 61-130, Springer.
    • Handle: RePEc:spr:lnechp:978-3-642-32214-3_5
    DOI: 10.1007/978-3-642-32214-3_5
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