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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

Spectral Function Real Interval Length Process Queue Length Process Distinct Real Root 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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