The M/M/s Queue Length Process

  • E. A. van Doorn
Part of the Lecture Notes in Statistics book series (LNS, volume 4)

Abstract

In this chapter we consider the birth-death process {X(t): 0 ≤ t < ∞} with parameters
$$ \begin{gathered} {\lambda _n} = \lambda \quad \quad \quad \quad n = 0,1, \ldots \ldots \hfill \\ {\mu _n} = n\mu \quad \quad \quad n = 0,1, \ldots ,s - 1 \hfill \\ = s\mu \quad \quad \quad \quad n = s,s + 1, \ldots , \hfill \\ \end{gathered} $$
(6.1.1)
which is the queue length process in an M/M/s queueing system.

Keywords

Smit 

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Copyright information

© Springer-Verlag New York Inc. 1981

Authors and Affiliations

  • E. A. van Doorn
    • 1
  1. 1.Dr. Neher — LaboratoriesNetherlands Postal and Telecommunications ServicesLeidschendamThe Netherlands

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