A discrete-time Geo/G/1 retrial queue with starting failures and impatient customers

Authors:
Abdel-Karim Aboul-Hassan;Sherif I. Rabia;Ahmed A. Al-Mujahid
Affiliations:
Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria, Egypt;Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University, Alexandria, Egypt;Department of Mathematics , Faculty of Science, Taiz University, Taiz, Yemen
Venue:
Transactions on computational science VII
Year:
2010

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Abstract

This paper discusses a discrete-time Geo/G/1 retrial queue with impatient customers and server subject to starting failures. Retrial times are assumed to follow a geometric distribution. For the balking customers case, the generating functions of the orbit size and the system size distributions are obtained. Hence, performance measures of interest are derived and examined numerically. Recursive formulas are built up to facilitate computing important distributions. For the general case, a simulation study is built up to investigate the effect of impatience on the system performance.