Authors
Uri Yechiali
Publication date
1972/3
Journal
Management Science
Volume
18
Issue
7
Pages
434-443
Publisher
INFORMS
Description
A GI/M/s queue with a stationary balking sequence is considered. For the infinite horizon average reward criterion, it is shown that among all stationary joining policies the optimal ones are nonrandomized control limit rules of the form: join if and only if the queue size is smaller than some specific number. It is shown that, in general, exercising self-optimization by individual customers does not optimize public good. The M/M/s queue is then treated as an example, and a “direct” proof for the optimality of the control limit rule is given.
Total citations
19841985198619871988198919901991199219931994199519961997199819992000200120022003200420052006200720082009201020112012201320142015201620172018201920202021202220231311212413336541413422234275362426344