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General batch service disciplines – A product-form batch processing network with customer coalescence

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  • Sonja Peterson

Abstract

A new batch service discipline is introduced that allows for customers of different classes to leave together in one batch. This so-called general batch service discipline is discussed for servers with signals and class-independent or class-dependent exponential service times. The equilibrium distribution and the associated traffic equations are calculated and it is shown that such servers are quasi-reversible. This property allows to model a network of servers with general batch service discipline that possesses a product-form equilibrium. Copyright Springer-Verlag Berlin Heidelberg 2000

Suggested Citation

  • Sonja Peterson, 2000. "General batch service disciplines – A product-form batch processing network with customer coalescence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 52(1), pages 79-97, September.
    • Handle: RePEc:spr:mathme:v:52:y:2000:i:1:p:79-97
    DOI: 10.1007/s001860000065
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