Probability analysis of the repairable queueing system M/G/(Ek/H)1..

Probability analysis of the repairable queueing system M/G/(Ek/H)1..

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Article ID: iaor19911391
Country: Switzerland
Volume: 24
Start Page Number: 189
End Page Number: 195
Publication Date: Nov 1990
Journal: Annals of Operations Research
Authors:
Abstract:

The repairable queueing system (RQS) in which the server has an exponential lifetime distribution has been studied in several articles. Here, the paper deals with the new RQS M/G(Ek/H)/1 in which the lifetime distribution of the server is Erlangian. By forming a vector Markov process, i.e. by using the method of supplementary variables, it obtained some system characters, the reliability indices of the server, and the time distribution of a customer spent on the server. For this RQS, the generalized service time distribution of each customer will depend on the remainder life of the server. Based on this, a new kind of queues, for which the service time distributions are chosen by the customers in some stochastic manner, appears in queueing theory.

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