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Multi-server queueing systems with cooperation of the servers

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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.

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Authors and Affiliations

  1. Department of Industrial Engineering, Sangji University, Wonju, 220-702, Kangwon, Korea

    Che Soong Kim

  2. Institute of Information and Communication, Chonbuk National University, 561-765, Chonju, Korea

    Moon Ho Lee

  3. Department of Applied Mathematics and Computer Science, Belarusian State University, Minsk, Belarus

    Alexander Dudin & Valentina Klimenok

Authors
  1. Che Soong Kim
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  2. Moon Ho Lee
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  3. Alexander Dudin
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  4. Valentina Klimenok
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Corresponding author

Correspondence to Alexander Dudin.

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Kim, C.S., Lee, M.H., Dudin, A. et al. Multi-server queueing systems with cooperation of the servers. Ann Oper Res 162, 57–68 (2008). https://doi.org/10.1007/s10479-008-0319-0

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  • DOI: https://doi.org/10.1007/s10479-008-0319-0

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