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Analyses of subensembles ofM/G/1 queueing sequences

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Abstract

Although many queueing processes of various principles have extensively been investigated, little attention has been paid to the sampling aspect of the theory, by which the nature of sample sequences of finite or infinite length can be examined with respect to some given ensemble of queueing sequences. In this paper we wish to identify classes of sample sequences of an M/G/1 model and investigate several hitherto unknown properties of queueing phenomenon of a given particular service system over a finite or infinite length of time. The method to be used is an extension of both the method of imbedded Markow chains, cf. D. G. Kendall [4], and semi-Markovian processes, Smith [9], Lévy [5], Pyke[7,8], Fabens [2], Neuts [6], etc.

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  1. Pan American/GMRD Patrick Air Force Base, Florida, USA

    Mikiso Mizuki

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  1. Mikiso Mizuki
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Mizuki, M. Analyses of subensembles ofM/G/1 queueing sequences. Israel J. Math. 3, 236–247 (1965). https://doi.org/10.1007/BF03008402

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  • DOI: https://doi.org/10.1007/BF03008402

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