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Open Networks of Exponential Queues

In: Queues

Author

Listed:
  • Moshe Haviv

    (The Hebrew University)

Abstract

Part of the model described here coincides with the one described in Example 9 in Chap. 8. For the sake of completeness we start here from scratch. Suppose M single-server service stations are located in a network. To station i there requires an external Poisson arrival process with rate λ i , 1 ≤ i ≤ M. Each time a job visits station i it requires a service of a length that follows an exponential distribution with parameter μ i , 1 ≤ i ≤ M. In each station service a job is provided on a first-come first-served (FCFS) basis1. Once a job completes its service in station i, it moves to station j with probability P ij .

Suggested Citation

  • Moshe Haviv, 2013. "Open Networks of Exponential Queues," International Series in Operations Research & Management Science, in: Queues, edition 127, chapter 0, pages 139-150, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-6765-6_9
    DOI: 10.1007/978-1-4614-6765-6_9
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