The Effect of Prior Assumptions on the Expected Cost of M/M/1 Queueing Systems with Unknown Arrival Rates,

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 rate's distribution properties on the characteristics of the system are examined.

Document Details

Document Type
Technical Report
Publication Date
Jan 23, 1976
Accession Number
ADA022120

Entities

People

  • Micha Yadin
  • Zeev Barzily

Organizations

  • George Washington 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

Readers

  • Life Cycle Cost Analysis
  • Mathematical Modeling and Probability Theory.
  • Mathematics or Statistics