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

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

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Article ID: iaor20013670
Country: Germany
Volume: 52
Issue: 1
Start Page Number: 79
End Page Number: 97
Publication Date: Jan 2000
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors:
Keywords: batch queues
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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