Distribution-Free Analysis of M / G /1 and G / M /1 Queues

Irwin Greenberg
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Irwin Greenberg: New York University, Bronz, New York

Operations Research, 1973, vol. 21, issue 2, 629-635

Abstract: The substantial gap between the state of the art of queuing theory and its application to real-world problems has been commented on by several authors: existing queuing models are either too specialized to be applied to a general problem or too generalized (usually in terms of Laplace transforms and/or generating functions) to be applied to a specific problem. This paper bridges this gap by constructing queuing models without making assumptions about the interarrival or service-time distributions. It obtains results for the M / G /1 and G / M /1 queues, where the “ G ” distributions are constructed from the observations on the queue.

Date: 1973
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