PRIORITY QUEUES,

Abstract

Cutomers of different priorities are arriving at a counter in accordance with a Poisson process. The customers are served by a single server in order of priority and for each priority in order of arrival. Two cases are considered: (i) service with privileged interruptions and (ii) service without interruption. It is supposed that the service times are mutually independent random variables having a prescribed distribu tion for each priority and independent of the arrival times. In both cases and a simple method is given for finding the Laplace-Stieltjes transform and the moments of the stationary distribution of the waiting time for each priority level. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 03, 1963
Accession Number
AD0422412

Entities

People

  • Lajos Takacs

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Random Variables
  • Stationary

Readers

  • Mathematical Modeling and Probability Theory.