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Optimal stochastic scheduling in a single server biclass retrial queueing system

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  • Josef Weichbold
  • Anastasia Winkler

Abstract

The paper deals with the assignment of a single server to two retrial queues. Each customer reapplies for service after an exponentially distributed amount of time. The server operates at customer dependent exponential rates. There are holding costs and costs during service per customer and per unit of time. We provide conditions on which it is optimal to allocate the server to queue 1 or 2 in order to minimize the expected total costs until the system is cleared. Copyright Springer-Verlag 2010

Suggested Citation

  • Josef Weichbold & Anastasia Winkler, 2010. "Optimal stochastic scheduling in a single server biclass retrial queueing system," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(3), pages 405-431, December.
    • Handle: RePEc:spr:mathme:v:72:y:2010:i:3:p:405-431
    DOI: 10.1007/s00186-010-0325-2
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    References listed on IDEAS

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    1. Dimitri frosinin & L. Breuer, 2006. "Threshold policies for controlled retrial queues with heterogeneous servers," Annals of Operations Research, Springer, vol. 141(1), pages 139-162, January.
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    Cited by:

    1. Anastasia Winkler, 2013. "Dynamic scheduling of a single-server two-class queue with constant retrial policy," Annals of Operations Research, Springer, vol. 202(1), pages 197-210, January.

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