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.
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Manuscript received: September 1999/Final version received: March 2000
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Peterson, S. General batch service disciplines – A product-form batch processing network with customer coalescence. Mathematical Methods of OR 52, 79–97 (2000). https://doi.org/10.1007/s001860000065
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DOI: https://doi.org/10.1007/s001860000065