The Mk/M/∞ queue with heterogeneous customers in a batch-Reference-Cited by-同舟云学术

The Mk/M/∞ queue with heterogeneous customers in a batch

Published:1992-06 Issue:2 Volume:29 Page:477-481
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Choi Bong Dae,Park Kwang Kyu

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.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

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