ISSN:
1432-5217
Keywords:
Key words: product-form, batch service, quasi-reversibility, signals
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Economics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s001860000065
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