A General Software Availability/Reliability Model: Numerical Exploration via the Matrix Laguerre Transform.

Abstract

In this paper, a new software availability/reliability model is developed where lifetimes and repair times have general system-state-dependent distributions. Multiple errors may be introduced or removed through repairs. The model is formulated as a multivariate Markov process and contains many other models appeared in the literatures as special cases. The exponentiality assumption prevalent in the literature is totally eliminated. Expressions of various performance measures of practical interest combining availability and reliability of the software system at time t are derived. Using the matrix Leguerre transform of Sumita (1984), corresponding computational procedures are also developed. A numerical example is given, demonstrating speed, accuracy and stability of these procedures. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1984
Accession Number
ADA170099

Entities

People

  • J. G. Shanthikumar
  • Ushio Sumita
  • Yasushi Masuda

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Distribution Functions
  • Equations
  • Integral Equations
  • Integrals
  • Markov Chains
  • Markov Processes
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Sequences
  • Software Development
  • Statistics
  • Stochastic Processes

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Logistics and Supply Chain Management.
  • Statistical inference.