On Mx/(G1G2)/1/G(BS)/Vs vacation queue with two types of general heterogeneous service

On Mx/(G1G2)/1/G(BS)/Vs vacation queue with two types of general heterogeneous service

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Article ID: iaor20063682
Country: India
Issue: 3
Start Page Number: 123
End Page Number: 136
Publication Date: Sep 2005
Journal: Journal of Applied Mathematics & Decision Sciences
Authors: , ,
Keywords: vacation models
Abstract:

We analyze a batch arrival queue with a single server providing two kinds of general heterogeneous service. Just before his service starts, a customer may choose one of the services and as soon as a service (of any kind) gets completed, the server may take a vacation or may continue staying in the system. The vacation times are assumed to be general and the server vacations are based on Bernoulli schedules under a single vacation policy. We obtain explicit queue size distribution at a random epoch as well as at a departure epoch and also the mean busy period of the server under the steady state. In addition, some important performance measures such as the expected queue size and the expected waiting time of a customer are obtained. Further, some interesting particular cases are also discussed.

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