Solving a Stochastic Queueing Design and Control Problem Using Constraint Programming

Daria Terekhov, J. Christopher Beck, Kenneth N. Brown

A facility with front room and back room operations has the option of hiring specialized or, more expensive, cross-trained workers. Assuming stochastic customer arrival and service times, we seek a smallest-cost combination of cross-trained and specialized workers satisfying constraints on the expected customer waiting time and expected number of workers in the back room. A constraint programming approach using logic-based Benders' decomposition is presented. Experimental results demonstrate the strong performance of this approach across a wide variety of problem parameters. This paper provides one of the first links between queueing optimization problems and constraint programming.

Subjects: 15.2 Constraint Satisfaction; 3.4 Probabilistic Reasoning

Submitted: Apr 23, 2007

This page is copyrighted by AAAI. All rights reserved. Your use of this site constitutes acceptance of all of AAAI's terms and conditions and privacy policy.