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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) |

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\textit{J. MacGregor Smith}, Math. Comput. Modelling 39, No. 9--10, 1049--1081 (2004; Zbl 1112.90319)

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