Computing the Performance Measures in Queueing Models via the Method of Order Statistics-Reference-Cited by-同舟云学术

Computing the Performance Measures in Queueing Models via the Method of Order Statistics

Published:2011 Issue: Volume:2011 Page:1-12
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Abdelkader Yousry H.¹²,Al-Wohaibi Maram²

Affiliation:

1. Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

2. Department of Mathematics, Girls College, Dammam University, P.O. Box 838, Dammam 31113, Saudi Arabia

Abstract

This paper focuses on new measures of performance in single-server Markovian queueing system. These measures depend on the moments of order statistics. The expected value and the variance of the maximum (minimum) number of customers in the system as well as the expected value and the variance of the minimum (maximum) waiting time are presented. Application to an M/M/1 model is given to illustrate the idea and the applicability of the proposed measures.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2011/790253.pdf

Reference17 articles.

1. Services within a Busy Period of an M/M/1 Queue and Dyck Paths

2. A new formula for the transient behaviour of a non-empty M/M/1/∞ queue

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