Identification of waiting time distribution of M / G / 1, M x / G / 1, G I r / M / 1 queueing systems

A. Ghosal and S. Madan

International Journal of Mathematics and Mathematical Sciences, 1988, vol. 11, 1-9

Abstract:

This paper brings out relations among the moments of various orders of the waiting time of the 1 st customer and a randomly selected customer of an arrival group for bulk arrivals queueing models, and as well as moments of the waiting time (in queue) for M / G / 1 queueing system. A numerical study of these relations has been developed in order to find the ( β 1 , β 2 ) measures of waiting time distribution in a comutable form. On the basis of these measures one can look into the nature of waiting time distribution of bulk arrival queues and the single server M / G / 1 queue.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:198128

DOI: 10.1155/S0161171288000717

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