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December 2015 The M/M/c queue with mass exodus and mass arrivals when empty
Lina Zhang, Junping Li
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J. Appl. Probab. 52(4): 990-1002 (December 2015). DOI: 10.1239/jap/1450802748

Abstract

In this paper we consider an M/M/c queue modified to allow both mass arrivals when the system is empty and the workload to be removed. Properties of queues which terminate when the server becomes idle are firstly developed. Recurrence properties, equilibrium distribution, and equilibrium queue-size structure are studied for the case of resurrection and no mass exodus. All of these results are then generalized to allow for the removal of the entire workload. In particular, we obtain the Laplace transformation of the transition probability for the absorptive M/M/c queue.

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Lina Zhang. Junping Li. "The M/M/c queue with mass exodus and mass arrivals when empty." J. Appl. Probab. 52 (4) 990 - 1002, December 2015. https://doi.org/10.1239/jap/1450802748

Information

Published: December 2015
First available in Project Euclid: 22 December 2015

zbMATH: 1334.60202
MathSciNet: MR3439167
Digital Object Identifier: 10.1239/jap/1450802748

Subjects:
Primary: 60J35
Secondary: 60J27, 60K25

Rights: Copyright © 2015 Applied Probability Trust

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Vol.52 • No. 4 • December 2015
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