Optimal Design of a Queueing System Under Uncertainty.

Abstract

In this study the authors deal with the determination of optimal service rate in an M/M/1 queue. The arrival rate is unknown and assumed to be a random variable with a known distribution function. Holding and operating costs are considered and service rate is determined to minimize total expected discounted costs for infinite horizon. The effects of the arrival rates distribution properties on the characteristics of the system are examined.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA008151

Entities

People

  • M. Yadin
  • Z. Barzily

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Cognitive Systems Engineering
  • Cooperation
  • Distribution Functions
  • Engineering
  • Industrial Engineering
  • Interdisciplinary Science
  • Management Engineering
  • Mathematics
  • Random Variables
  • Systems Engineering
  • Systems Science
  • Uncertainty

Readers

  • Mathematical Modeling and Probability Theory.