A DECISION-MAKING MODEL FOR APPLICATIONS OF QUEUEING THEORY,

Abstract

This paper describes a decision-making model which may be useful in potential applications of queueing theory to systems for which the input (arrival) characteristics are dependent upon system performance statistics as well as upon the values assumed by certain decision variables. The model may be viewed as a generalization of the type of cost model usually encountered in the queueing literature. The use of the model is first illustrated for a simple Poisson-exponential service facility for which solutions are obtainable in closed-form and sensitivity to parameters is easily explored. Extensions of the basic example are discussed and a nonlinear programming algorithm is applied to the Poisson arrival, constant service time variation of the problem to obtain some comparative results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1969
Accession Number
AD0684825

Entities

People

  • Rosser T. Nelson

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programming
  • Cost Models
  • Costs
  • Heuristic Methods
  • Interdisciplinary Science
  • Literature
  • Mathematics
  • Nonlinear Programming
  • Queueing Theory
  • Sensitivity
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Life Cycle Cost Analysis
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.