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Three management policies for a resource with partition constraints

Part of: Stochastic systems and control Special processes Computer system organization Operations research and management science

Published online by Cambridge University Press:  01 July 2016

Murat Alanyali
Murat Alanyali*
Affiliation:
Bilkent University
*
∗ Postal address: Department of Electrical and Electronic Engineering, Bilkent University, Bilkent TR-06533, Ankara, Turkey. Email address: alanyali@ee.bilkent.edu.tr
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Abstract

Management of a bufferless resource is considered under non-homogeneous demand consisting of one-unit and two-unit requests. Two-unit requests can be served only by a given partition of the resource. Three simple admission policies are evaluated with regard to revenue generation. One policy involves no admission control and two policies involve trunk reservation. A limiting regime in which demand and capacity increase in proportion is considered. It is shown that each policy is asymptotically optimal for a certain range of parameters. Limiting dynamical behavior is obtained via a theory developed by Hunt and Kurtz. The results also point out the remarkable effect of partition constraints.

Keywords

Resource managementpartition constraintsloss networksmultirate networksadmission controltrunk reservationheavy traffictime-scale separation

MSC classification

Primary: 60K30: Applications (congestion, allocation, storage, traffic, etc.)
Secondary: 90B22: Queues and service 68M20: Performance evaluation; queueing; scheduling 93E20: Optimal stochastic control
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 31 , Issue 3 , September 1999 , pp. 795 - 818
Copyright
Copyright © Applied Probability Trust 1999 

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Footnotes

This work was supported in part by the US National Science Foundation under contract NSF NCR 93-14253.

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