Optimal control for an MX/G/1 queue with two service modes

✍ Scribed by Rein D. Nobel; Henk C. Tijms

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 128 KB
• Volume: 113
• Category: Article
• ISSN: 0377-2217
• DOI: 10.1016/s0377-2217(98)00085-x

✦ Synopsis

A practically important model is the queueing model with controllable service rate. This paper considers a singleserver model with batch Poisson input and two service modes, where switch-over times are involved when changing the service mode. A class of simple switch-over rules is considered and, using Markov decision theory, a tailor-made policyiteration algorithm is developed for computing a rule that mimimizes the long-run average number of customers in the system.