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Optimal scheduling in a queue with differentiated impatient users
Amy Csizmar Dalal, Carleton College
Scott Jordan, University of California, Irvine
ABSTRACT: We consider a M/M/1 queue in which the average reward for servicing a
job is an exponentially decaying function of the job's sojourn time. The
maximum reward and mean service times of a job are i.i.d. and chosen from
arbitrary distributions. The scheduler is assumed to know the maximum reward, service rate, and age of each job. We prove that the scheduling policy that maximizes average reward serves the customer with the highest product of potential reward and service rate.
SUGGESTED CITATION: Amy Csizmar Dalal and Scott Jordan,
"Optimal scheduling in a queue with differentiated impatient users"
(2005).
Performance Evaluation.
59 (1),
pp. 73-84.
10.1016/j.peva.2004.08.001 .
Postprint available free at: http://repositories.cdlib.org/postprints/709
REQUIRED PUBLISHER STATEMENT: The original publication is available in Performance Evaluation.
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