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- Title
LOSS PROBABILITIES FOR THE M<sup>X</sup> /G<sup>Y</sup> /1/K+B BULK QUEUE.
- Authors
Germs, Remco; Van Foreest, Nicky
- Abstract
In this article we analyze the MX/GY /1/K + B bulk queue. For this model, we consider three rejection policies: partial acceptance, complete rejection, and complete acceptance. For each of these policies, we are interested in the loss probability for an arriving group of customers and for individual customers within a group. To obtain these loss probabilities, we derive a numerically stable method to compute the limiting probabilities of the queue length process under all three rejection policies. At the end of the article we demonstrate our method by means of a numerical example.
- Subjects
BULK queues; QUEUING theory; PROBABILITY theory; COMPUTER algorithms; NUMERICAL analysis; MATHEMATICAL models
- Publication
Probability in the Engineering & Informational Sciences, 2010, Vol 24, Issue 4, p457
- ISSN
0269-9648
- Publication type
Article
- DOI
10.1017/S0269964810000100