A Tutorial on Markov Renewal Theory Semi-Regenerative Processes and Their Applications.

Abstract

This is a tutorial paper on Markov renewal processes, semi-regenerative processes and their applications to many fields of interest. It was presented in the tutorial sessions of the O.R.S.A./T.I.M.S. meetings in Colorado Springs, November, 1980. The paper reviews the basic ingredients of the processes discussed, such as: structure of the process, semi-Markov kernels, Markov renewal functions, and integral equations of semi-regenerative processes. Considerable time is spent discussing several applications to combat line-of-sight, queueing, policy medical emergency systems, disease modelling, power generator reliability and worker fatigue. The bibliography of 21 items provides further readings for the beginner to pursue these topics. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1980
Accession Number
ADA093679

Entities

People

  • Ralph L. Disney

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Computational Science
  • Computations
  • Computers
  • Data Analysis
  • Equations
  • Information Science
  • Markov Chains
  • Markov Processes
  • Numerical Analysis
  • Operations Research
  • Probability
  • Probability Distributions
  • Queueing Theory
  • Random Variables
  • Simulations
  • Statistical Analysis
  • Stochastic Processes

Readers

  • Database Systems and Applications
  • Mathematical Modeling and Probability Theory.
  • Technical Research and Report Writing.