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

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  • A. Ghosal
  • S. Madan

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.

Suggested Citation

  • A. Ghosal & S. Madan, 1988. "Identification of waiting time distribution of M / G / 1 , M x / G / 1 , G I r / M / 1 queueing systems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-9, January.
    • Handle: RePEc:hin:jijmms:198128
    DOI: 10.1155/S0161171288000717
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