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

Sonja Peterson ()

Mathematical Methods of Operations Research, 2000, vol. 52, issue 1, 79-97

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

Keywords: Key words: product-form; batch service; quasi-reversibility; signals (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:52:y:2000:i:1:p:79-97

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DOI: 10.1007/s001860000065

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