Staff Members - Benha University
Measures of Performance in the M/M/1/N Queue via the Methods of Order Statistics
Life Science Journal • 2012
Publication Information
Authors
Yousry H. Abdelkader and A. I. Shawky
Keywords
Queueing; Performance measures, Order statistics, Busy period, Waiting time, M/M/1/N queue.
Journal
Life Science Journal
Publisher
Not Available
Volume
9
Issue
1
Pages
945-953
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
Abstract: This paper computes new measures of performance in Markovian queueing model with single-server and
finite system capacity. The expected value and the variance of the minimum (maximum) number of customers in the
system (queue) as well as the r th moments of the minimum (maximum) waiting time in the queue are derived. The
computations of the proposed measures are depending on the methods of order statistics. The regular performance
measures of the M/M/1/N model are considered as special cases of our results.
finite system capacity. The expected value and the variance of the minimum (maximum) number of customers in the
system (queue) as well as the r th moments of the minimum (maximum) waiting time in the queue are derived. The
computations of the proposed measures are depending on the methods of order statistics. The regular performance
measures of the M/M/1/N model are considered as special cases of our results.