Finite Birth-and-Death Models in Randomly Changing Environments.

Abstract

This report provides computational methods for studying properties of birth-death processes whose transition rates (infinitesimal generator) varies in accordance with a random, 'environmental', process. In particular, the models may be used to represent the availability fo redundant systems subject to external shocks or other 'common cause' failures. These models also represent search for an object when the search environment (e.g. weather) varies randomly in time. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA114188

Entities

People

  • Donald P. Gaver
  • G. Latouche
  • P. A. Jacobs

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algorithms
  • California
  • Climate Change
  • Computational Science
  • Differential Equations
  • Environment
  • Equations
  • Generators
  • Markov Chains
  • Markov Processes
  • Military Research
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Stochastic Processes
  • Transitions

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Mathematical Modeling and Probability Theory.
  • Theoretical Analysis.