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Math. Comput. Appl. 2007, 12(2), 97-105; doi:10.3390/mca12020097

Multi-Channel Bi-Level Heterogeneous Servers Bulk Arrival Queueing System with Erlangian Service Time

Egypt Air Force, Cairo, Egypt
Published: 1 August 2007
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Abstract

An easily applicable algorithm to solve problems involving bulk-arrival queues with a breakdown of one of the heterogeneous servers in case of steady state is introduced. A Monte Carlo study for numerically finding the limiting distribution of the number in the system for the bulk arrival, multi-server queueing model (M[x]/EK/C; C-1/FCFS) with heterogeneous servers is presented. The system consists of servers of varying efficiency. This paper presents multi-channel queue with Poisson arrivals, Erlangian service time distributions in which all servers have equal breakdown chance. Measures of system performance including mean queue length, mean waiting time, and blocking probability are reported. Numerical results are obtained by simulation of the entire system. Examples of extensive numerical results for certain measures of efficiency are presented in tabular and chart form. In all cases, the proposed method is computationally efficient, accurate and reliable for both high and low values of the model parameters.
Keywords: Bulk Arrival; Multi-server; Heterogeneous Servers; Server Breakdown; Queueing System Performance; Erlangian Service Time Bulk Arrival; Multi-server; Heterogeneous Servers; Server Breakdown; Queueing System Performance; Erlangian Service Time
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Sultan, A.M.M. Multi-Channel Bi-Level Heterogeneous Servers Bulk Arrival Queueing System with Erlangian Service Time. Math. Comput. Appl. 2007, 12, 97-105.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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