A MAP/Γ/1/r system with a large service time variation coefficient

A single-server queueing system with bounded buffer, Poisson flow, and gamma service time distribution is studied. Limiting values of certain performance indexes for unboundedly increasing service time variation coefficient are determined and approximate formulas for the performance characteristics of the system for large variation coefficients are derived. © 2005 Pleiades Publishing, Inc.

Authors
Publisher
Maik Nauka Publishing / Springer SBM
Number of issue
11
Language
English
Pages
1782-1790
Status
Published
Volume
66
Year
2005
Organizations
  • 1 Peoples Friendship University, Moscow, Russian Federation
Keywords
Gamma rays; Mathematical models; Poisson distribution; Servers; Time varying systems; Poisson flow; Queueing systems; Time distribution; Time variation coefficients; Queueing theory
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