On the Trade-Off between Queue Congestion and Server's Reward in a M/M/1 Queue.
Abstract
One can observe, in the literature on queueing theory, a growing interest in the control of the arrival process. For most of the published models, the aim is to maximize the difference between fees collected and costs: it is explicitly assumed that the fees and costs can be measured and are expressed in the same units. This paper considers the two objectives of maximizing the fee collected and minimizing queue congestion as distinct. If it is not possible to optimize these simultaneously, then the problem will be to maintain one of them at a reasonable level and, under that constraint, to optimize the other.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1978
- Accession Number
- ADA054886
Entities
People
- Guy Latouche
Organizations
- University of Delaware