[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c160106

BUSY PERIOD DISTRIBUTION OF A BATCH ARRIVAL RETRIAL QUEUE

Kim, Jeongsim (Department of Mathematics Education Chungbuk National University)

Publication Information

Communications of the Korean Mathematical Society / v.32, no.2, 2017 , pp. 425-433 More about this Journal

Abstract

This paper is concerned with the analysis of the busy period distribution in a batch arrival $M^X/G/1$ retrial queue. The expression for the Laplace-Stieltjes transform of the length of the busy period is well known, but from this expression we cannot compute the moments of the length of the busy period by direct differentiation. This paper provides a direct method of calculation for the first and second moments of the length of the busy period.

Keywords

retrial queue; batch arrivals; busy period;

Citations & Related Records

Reference

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