A Transform-Free Approximation for the Finite Capacity M / G / s Queue

Toshikazu Kimura
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Toshikazu Kimura: Hokkaido University, Sapporo, Japan

Operations Research, 1996, vol. 44, issue 6, 984-988

Abstract: This paper develops a transform-free approximation for the steady-state queue-length distribution in an M / G / s queue with finite waiting spaces. The approximation is obtained by using a conservation law and some heuristics. It is shown that the approximation is exact for the cases with either no extra waiting space, exponential service-time distribution, or a certain two-parameter family of service-time distributions. It is also shown that the approximation has the same light-traffic properties as the known light-traffic limit theorem for the infinite capacity case when the number of waiting spaces is not less than one.

Keywords: queues; multichannel; M/G/s queue with finite waiting spaces; queues; approximations; steady-state queue-length distribution; queues; applications; buffer capacity design (search for similar items in EconPapers)
Date: 1996
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