RESTRICTED ARRIVAL PROBABILITIES APPLIED TO A CONSTANT SERVICE TIME QUEUEING MODEL

Abstract

A periodically-serviced constant service single channel queue is studied. The arrival distribution is general in nature except for the restriction that not more than three units can arrive during any one service interval. The maximum permissible queue length can be either finite or infinite. Equations describing the steadystate proba ilities are third order linear difference equations. The solution of the state probabilities are found in terms of the roots of the characteristic equation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 17, 1961
Accession Number
AD0260608

Entities

People

  • Edward Dierauf

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Equations
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Probability

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.