Analysis of the $$M^X/G/1$$ M X / G / 1 retrial queue

Bara Kim () and Jeongsim Kim ()
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Bara Kim: Korea University
Jeongsim Kim: Chungbuk National University

Annals of Operations Research, 2016, vol. 247, issue 1, No 9, 193-210

Abstract: Abstract In this paper, we are concerned with the analysis of the queue length and waiting time distributions in a batch arrival $$M^X/G/1$$ M X / G / 1 retrial queue. Necessary and sufficient conditions are obtained for the existence of the moments of the queue length and waiting time distributions. We also provide recursive formulas for the higher order moments of the queue length and waiting time distributions.

Keywords: Batch arrivals; Retrial queue; Queue length distribution; Waiting time distribution; 60K25 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10479-015-1921-6

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