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On a non-Markovian queueing problem under a control operating policy and start-up times

Arun Borthakur, Ruby Gohain (1982)

Aplikace matematiky

A non-Markovian queueing system with Poisson input is studied under a modified operating rule called “control operating policy” in which the server begins “start-up” only when the queue length reaches a fixed number n ( 1 ) . By using the supplementary variable technique, the distribution of the queue length (excluding those being served) in the form of a generating function is obtained. As a special case, a Markovian queueing system with exponential start-up is discussed in detail to analyse the economic...

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