ANALYSIS OF TWO HETEROGENEOUS SERVER QUEUEING MODEL WITH BALKING, RENEGING AND FEEDBACK

Year 2014, Volume: 2 Issue: 2, 10 - 21, 01.12.2014

AMINA ANGELIKA Bouchentouf MOKHTARKADI ABBESRABHI

https://izlik.org/JA56MK58WG

Abstract

This paper presents an analysis of an M/M/2/N (capacity N)queueing system with balking, reneging, feedback and two heterogeneous servers.By using the Markov process method, we first develop the equations of thesteady state probabilities. Then, we give some performance measures of thesystem. Finally, we present some numerical examples to demonstrate how thevarious parameters of the model influence the behavior of the system

Keywords

Balking , reneging , feedback , heterogeneous servers , steady state solution , performance measures

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• Department of Mathematics, Djillali Liabes University of Sidi Bel Abbes, B. P. 89, Sidi Bel Abbes 22000, Algeria. E-mail address: bouchentouf−[e-mail]
• Department of Mathematics and Computer Sciences, Moulay Tahar University, Saida, B.P. 138, En-Nasr Saida 20 000, Algeria.
• E-mail address: [e-mail]
• Department of Mathematics, Djillali Liabes University of Sidi Bel Abbes, B. P. 89, Sidi Bel Abbes 22000, Algeria. E-mail address: rabhi−[e-mail]