Distribution-Free Analysis of M/G/1 and G/M/1 Queues
- 1 April 1973
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research
- Vol. 21 (2) , 629-635
- https://doi.org/10.1287/opre.21.2.629
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.Keywords
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