Transient solution of an M/M/c queue with heterogeneous servers and balking

Transient solution of an M/M/c queue with heterogeneous servers and balking

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Article ID: iaor20033322
Country: Taiwan
Volume: 12
Issue: 3
Start Page Number: 15
End Page Number: 27
Publication Date: Jul 2001
Journal: International Journal of Information and Management Science
Authors: ,
Keywords: M/M/c queues
Abstract:

The authors explicitly obtain the transient solution for the system size distribution of a multi-channel Markovian queueing system with heterogeneous servers and balking behaviour. The system starts with one customer at the fastest service station and it is assumed that any customers receiving service receive it at the fastest rate possible. In addition, the steady state probabilities are derived.

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