SOME LIMIT THEOREMS IN QUEUEING THEORY

Abstract

Stochastic processes arising in queuing systems with traffic intensity greater than or equal to unity are studied. Convergence of distributions of continuous time as well as discrete time stochastic processes is investigated. The former utilize concepts involving convergence of distributions of jump chains associated with Markov processes; the latter, discrete time chains, use elements of ladder variable theory.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0659318

Entities

People

  • Atma P. Lalchandani

Organizations

  • Cornell University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Contracts
  • Convergence
  • Distribution Functions
  • Intensity
  • Kolmogorov Equations
  • Markov Chains
  • Markov Processes
  • Mathematical Analysis
  • New York
  • Normal Distribution
  • Probability
  • Random Variables
  • Security
  • Stochastic Processes
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Parallel and Distributed Computing.
  • Statistical inference.