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Optimal design and performance modelling of $$M/G/1/K$$ queueing systems. (English) Zbl 1112.90319
Summary: Approximating the performance measures of $$M/G/1/K$$ systems is a difficult, challenging, and important problem for applications in science and engineering. An approach based on a two-moment approximation of the process is presented and is contrasted with an embedded Markov chain approach, Gelenbe’s approach, simulation, and finally, the statistics of $$M/M/1/K$$ systems. The closed form expressions for the different performance measures should be very handy. The use of the approximation in the performance modelling and design of $$M/G/1/K$$ systems is also explored in order to demonstrate the practical usefulness of the concepts contained within the paper.

##### MSC:
 90B22 Queues and service in operations research 60K25 Queueing theory (aspects of probability theory)
##### Keywords:
$$M/G/1/K$$; Performance measures; Approximations; Optimization
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##### References:
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