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The M/G/k Loss System with Servers Subject to Breakdown
Journal of Applied Probability
Vol. 20, No. 3 (Sep., 1983), pp. 706-712
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3213906
Page Count: 7
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This paper studies the equilibrium behaviour of the M/G/k loss system with servers subject to breakdown. Such a system has k servers, whose customers arrive in a Poisson process. They are served if there is an idle server, otherwise they leave and do not return. Each server is subject to breakdown with probability of occurrence depending on the length of the time the server has been busy since his last repair. On a breakdown the customer waits and his service is continued just after the repair of the server. Among other things, a generalization of the Erlang B-formula is given and it is shown that the equilibrium departure process is Poisson. In fact these results are obtained for the more general case where customers may balk and service and repair rates are state dependent.
Journal of Applied Probability © 1983 Applied Probability Trust