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Article

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

by
A. M. Sultan
1,*,
N. A. Hassan
2 and
N. M. Elhamy
2
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
Published: 1 August 2005
Versions Notes

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.
Keywords: Bulk Arrival; Multi-server; Server breakdown; Queueing models Bulk Arrival; Multi-server; Server breakdown; Queueing models

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MDPI and ACS Style

Sultan, A.M.; Hassan, N.A.; Elhamy, N.M. Computational Analysis of a Multi-Server Bulk Arrival with Two Modes Server Breakdown. Math. Comput. Appl. 2005, 10, 249-259. https://doi.org/10.3390/mca10020249

AMA Style

Sultan AM, Hassan NA, Elhamy NM. Computational Analysis of a Multi-Server Bulk Arrival with Two Modes Server Breakdown. Mathematical and Computational Applications. 2005; 10(2):249-259. https://doi.org/10.3390/mca10020249

Chicago/Turabian Style

Sultan, A. M., N. A. Hassan, and N. M. Elhamy. 2005. "Computational Analysis of a Multi-Server Bulk Arrival with Two Modes Server Breakdown" Mathematical and Computational Applications 10, no. 2: 249-259. https://doi.org/10.3390/mca10020249

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