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Mathematical and Computational Applications
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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 August 2005

Computational Analysis of a Multi-Server Bulk Arrival with Two Modes Server Breakdown

,
and
1
Egypt Air Force, Cairo, Egypt
2
Zagazig University, Faculty of Science, Department of Mathematics, Egypt
*
Author to whom correspondence should be addressed.
Math. Comput. Appl.2005, 10(2), 249-259;https://doi.org/10.3390/mca10020249
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Abstract

An extensive Monte Carlo study is performed to analyze a multi-server, bulk arrival (M [x]M/C; C-1/FCFS) queuing system. The system breakdown limits the system to serve with either C or (C-1) servers. The server breakdown has equal chance over all servers in the system while the arrival process is a Poisson process and the distribution of the bulk size X is a positive Poisson bulk size. Measures of system efficiency including mean queue length, mean waiting time, and blocking probability are introduced. Numerical results are obtained by simulation of the entire system.

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