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Optimal control of batch service queues with compound Poisson arrivals and finite service capacity

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  • Samuli Aalto

Abstract

We consider the optimal control problem of an M X /G(Q)/1 batch service queueing system with Q>∞. So, we assume that customers arrive according to a compound Poisson process and are served in batches not greater than the finite service capacity Q. The control problem involves the determination of the epochs at which the service is initiated as well as the sizes of the batches served. We introduce a new class of operating policies and prove that, under some additional assumptions, there is an optimal operating policy belonging to this new class. Copyright Springer-Verlag Berlin Heidelberg 1998

Suggested Citation

  • Samuli Aalto, 1998. "Optimal control of batch service queues with compound Poisson arrivals and finite service capacity," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(3), pages 317-335, December.
    • Handle: RePEc:spr:mathme:v:48:y:1998:i:3:p:317-335
    DOI: 10.1007/s001860050030
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    Cited by:

    1. Olga Bountali & Antonis Economou, 2019. "Strategic customer behavior in a two-stage batch processing system," Queueing Systems: Theory and Applications, Springer, vol. 93(1), pages 3-29, October.
    2. Lotfi Tadj & Gautam Choudhury, 2005. "Optimal design and control of queues," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(2), pages 359-412, December.

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