eScholarship Repository eScholarship Repository California Digital Library
eScholarship > Postprints > Paper 709
Search all papers
 

notify_envelope Notify me of new papers
via Email or RSS


Postprints


Optimal scheduling in a queue with differentiated impatient users
Amy Csizmar Dalal, Carleton College
Scott Jordan, University of California, Irvine

  Download the Article (284 K, PDF file) - 2005 Tell a colleague about it.
Printing Tips: Select 'print as image' in the Acrobat print dialog if you have trouble printing.

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.

 
bar
Open Archives Initiative eScholarship is a service of the California Digital Library bepress