Departures inGR^{X{n}} /G_n /\infty |
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| Authors: | L Liu J G C Templeton |
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| Institution: | (1) Department of Industrial Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong;(2) Department of Industrial Engineering, University of Toronto, M5S 1A4 Toronto, Ontario, Canada |
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| Abstract: | Departure processes in infinite server queues with non-Poisson arrivals have not received much attention in the past. In this paper, we try to fill this gap by considering the continuous time departure process in a general infinite server system with a Markov renewal batch arrival process ofM different types of customers. By a conditional approach, analytical results are obtained for the generating functions and binomial moments of the departure process. Special cases are discussed, showing that while Poisson arrival processes generate Poisson departures, departure processes are much more complicated with non-Poisson arrivals.This research has been supported in part by the Natural Science and Engineering Research Council of Canada (Grant A5639). |
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| Keywords: | Departures infinite server batch arrival customer dependence analytical result |
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