The Numerical Solution of Transient Queueing Problems

Abstract

The report explores methods for obtaining transient solutions to queueing problems which can be represented in the form of differential- difference equations. Six distinct methods, representing the most frequently- encountere in the open literature, are discussed as to their value in numerical work. The method of Runge-Kutta integration of these equations was found to be superior to the numerical evaluation of analytic solutions of a particular queueing model. A generalized, Runge-Kutta programming package, written in FORTRAN IV for the IBM 360/65, is presented and described in detail for use on queueing problems. Generality is achieved by requiring the user to write a subroutine to evaluate his queueing equations when required by the programming package.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0744802

Entities

People

  • Stuart W. Olson

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Computer Programming
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Equations
  • Integral Equations
  • Monte Carlo Method
  • Numerical Analysis
  • Operations Research
  • Partial Differential Equations
  • Power Series
  • Probability
  • Queueing Theory
  • Runge Kutta Method
  • Simulations

Readers

  • Computer Science.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.