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: | Petersen S. |
Keywords: | batch queues |
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.