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Time-dependent solution and optimal control of a bulk service queue

Part of:Special processesOperations research and management science

Published online by Cambridge University Press:  14 July 2016

Shokri Z. Selim
Shokri Z. Selim*
Affiliation:
King Fahd University of Petroleum and Minerals
*
∗ Postal address: Department of Systems Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia.
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Abstract

We consider the queueing system denoted by M/MN /1/N where customers are served in batches of maximum size N. The model is motivated by a traffic application. The time-dependent probability distribution for the number of customers in the system is obtained in closed form. The solution is used to predict the optimal service rates during a finite time horizon.

Keywords

BULK SERVICEBULK QUEUESTRANSIENT SOLUTIONCONTROL OF QUEUESQUEUEING APPLICATIONS

MSC classification

Primary:60K25: Queueing theory
Secondary:60K30: Applications (congestion, allocation, storage, traffic, etc.)90B22: Queues and service

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 34 , Issue 1 , March 1997, pp. 258 - 266
Copyright
Copyright © Applied Probability Trust 1997 

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