Title: Estimation of performance measures of M/M/1 queues – a simulation-based approach

Authors: Kaustav Dutta; Amit Choudhury

Addresses: Department of Statistics, Gauhati University, Guwahati-14, Assam, India ' Department of Statistics, Gauhati University, Guwahati-14, Assam, India

Abstract: The M/M/1 queuing system has been the oldest and perhaps the most widely used of all queuing models. However, queuing analysts have been particularly constrained by the fact that no standardised inferential procedures are available in literature. The menu of methods available has their pitfalls and ambiguities. This paper is about putting to rest one such ambiguity.

Keywords: M/M/1; mean system size; mean queue size; mean waiting time; performance measures; queue; simulation; single server Markovian model; traffic intensity; management.

DOI: 10.1504/IJAMS.2020.110346

International Journal of Applied Management Science, 2020 Vol.12 No.4, pp.265 - 279

Received: 08 Nov 2018
Accepted: 30 Jun 2019

Published online: 30 Apr 2020 *

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