Survival Function of Hypo-Exponential Distributions.

Abstract

The reliability of a system is the probability that the system will survive or complete an intended mission of certain duration. Describing all possible ways that a system can survive a mission in reliability shorthand gives a simple approach to reliability computations. Reliability computation for a system defined by shorthand notation is greatly dependent upon the convolution problem. Assuming constant component failure rates, this paper presents an analytical approach and a computer program for computing the reliability of any convolution of independent and exponentially distributed random variables. Keywords include: Exponential Distribution, System Reliability, Convolutions, Hypo-Exponential Distribution.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA155518

Entities

People

  • A. S. Abdelsamad
  • M. M. Lotfy

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Analytic Functions
  • Classification
  • Complex Variables
  • Computations
  • Computer Programs
  • Computers
  • Inversion
  • Mathematical Models
  • Mathematics
  • Notation
  • Operations Research
  • Polynomials
  • Probability
  • Random Variables
  • Reliability
  • Security
  • Survival

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.
  • Software Engineering