The Virtual Waiting Time for the Batch Arrival Queueing Systems

Wojciech Michal Kempa

19 citations0/0 files storedStochastic Analysis and Applications

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

In the article the G η I/G/1-type batch arrival system with infinite waiting-room is considered. The explicit formulae for the distribution of the virtual waiting time at any fixed moment t and as t → ∞ are obtained. The study is based on generalization of Korolyuk's method for semi-markov random walks.

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1983The Single Server Queue 1980Stochastic Storage Processes 1988Computational analysis of single-server bulk-arrival queues Mx/G/1 2003Application of the Superposition of Renewal Processes to the Study of Batch Arrival Queues

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