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November 1997 Optimization via trunk reservation in single resource loss systems under heavy traffic
P. J. Hunt, C. N. Laws
Ann. Appl. Probab. 7(4): 1058-1079 (November 1997). DOI: 10.1214/aoap/1043862424


Trunk reservation is a simple, robust and extremely effective mechanism for controlling loss systems which allows priority to be given to chosen traffic streams. We consider the control of a single resource under a limiting regime in which capacity and arrival rates increase together. We obtain trunk reservation control policies which are asymptotically optimal when calls have differing capacity requirements, holding times, arrival rates and reward rates. The priority levels associated with these trunk reservation policies arise from an attainable bound on the performance of any control policy.


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P. J. Hunt. C. N. Laws. "Optimization via trunk reservation in single resource loss systems under heavy traffic." Ann. Appl. Probab. 7 (4) 1058 - 1079, November 1997.


Published: November 1997
First available in Project Euclid: 29 January 2003

zbMATH: 0890.60088
MathSciNet: MR1484797
Digital Object Identifier: 10.1214/aoap/1043862424

Primary: 60K30
Secondary: 60K20 , 90B22 , 93E20

Keywords: Loss network , optimization , time-scale separation , trunk reservation

Rights: Copyright © 1997 Institute of Mathematical Statistics


Vol.7 • No. 4 • November 1997
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