Time‐Dependent Analysis of Some Infinite Server Queues with Bulk Poisson Arrivals

Time‐Dependent Analysis of Some Infinite Server Queues with Bulk Poisson Arrivals

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Article ID: iaor20112457
Volume: 47
Issue: 4
Start Page Number: 297
End Page Number: 303
Publication Date: Sep 2010
Journal: INFOR: Information Systems and Operational Research
Authors: ,
Keywords: bulk queues
Abstract:

Numerical computational formulae for the transient distribution of the number of customers in system in the infinite server queue with bulk Poisson arrivals are derived using generating function techniques. Equilibrium analysis follows as a special case. Various bulk size and service time distributions are considered, and numerical examples illustrate the use of the approach.

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