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Multi-server queueing systems with cooperation of the servers

Author

Listed:
  • Che Kim
  • Moon Lee
  • Alexander Dudin
  • Valentina Klimenok

Abstract

In this paper, we consider an N-server queueing model with homogeneous servers in which customers arrive according to a stationary Poisson arrival process. The service times are exponentially distributed. Two new customer’s service disciplines assuming simultaneous service of arriving customer by all currently idle servers are discussed. The steady state analysis of the queue length and sojourn time distribution is performed by means of the matrix analytic methods. Numerical examples, which illustrate advantage of introduced disciplines comparing to the classical one, are presented. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Che Kim & Moon Lee & Alexander Dudin & Valentina Klimenok, 2008. "Multi-server queueing systems with cooperation of the servers," Annals of Operations Research, Springer, vol. 162(1), pages 57-68, September.
    • Handle: RePEc:spr:annopr:v:162:y:2008:i:1:p:57-68:10.1007/s10479-008-0319-0
    DOI: 10.1007/s10479-008-0319-0
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    Cited by:

    1. Mor Armony & Efrat Perel & Nir Perel & Uri Yechiali, 2019. "Exact analysis for multiserver queueing systems with cross selling," Annals of Operations Research, Springer, vol. 274(1), pages 75-100, March.
    2. Alexander Dudin & Olga Dudina & Sergei Dudin & Konstantin Samouylov, 2021. "Analysis of Multi-Server Queue with Self-Sustained Servers," Mathematics, MDPI, vol. 9(17), pages 1-18, September.

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