Measures of Performance in the M/M/1/N Queue via the Methods of Order Statistics
Life Science Journal • 2012
معلومات البحث
المؤلفون
Yousry H. Abdelkader and A. I. Shawky
الكلمات المفتاحية
Queueing; Performance measures, Order statistics, Busy period, Waiting time, M/M/1/N queue.
المجلة العلمية
Life Science Journal
الناشر
Not Available
المجلد
9
العدد
1
الصفحات
945-953
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
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.
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