SOME LADDER PROCESSES IN CONTINUOUS TIME WITH APPLICATIONS TO QUEUES.

Abstract

Ladder processes are constructed for a basic stochastic process in continuous time with discrete state space. These processes are used to obtain limit theorems for the supremum and infimum functionals defined on this basic process. Application of these results to queues with Poisson arrivals and general Erlangian type service time density are then discussed in the case where no steady state exists, that is, where the traffic intensity is greater than or equal to one. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0664678

Entities

People

  • Frank M. Worthington

Organizations

  • Cornell University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Intensity
  • Steady State
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space