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The Mk/M/∞ queue with heterogeneous customers in a batch
Published online by Cambridge University Press: 14 July 2016
Abstract
We consider the Mk/M/∞ queue with k heterogeneous customers in a batch where the customer of type i in a batch requires an exponential service time with parameter µi. In steady state, the joint generating function of the number of customers of type i being served in the system is derived explicitly by solving a partial differential equation.
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- Copyright © Applied Probability Trust 1992
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Supported by a grant from Korea Science and Engineering Foundation 1990–1993.
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