A Simple Model Applicable in Structural Reliability, Extinction of Species, Inventory Depletion, and Urn Sampling. II. System Lifelength.

Abstract

This paper deals with a series-parallel system consisting of k subsystems in series, subsystem i containing n(i) components in parallel (denoted C(i) and called cut set i), i=1,...,K. After any component in the system fails, the next component failure is equally likely to be any of the components in the system still functioning. In this document the probability distribution, frequency function, and failure rate of the lifelength of series-parallel systems are computed, as are corresponding recurrence relations and finite and asymptotic properties.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA033974

Entities

People

  • E. El-neweihi
  • Frank Proschan
  • Jayaram Sethuraman

Organizations

  • Florida State University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Contracts
  • Extinction
  • Frequency
  • Inventory
  • Probability
  • Probability Distributions
  • Reliability
  • Sampling
  • Security
  • Sequences
  • Statistics

Readers

  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Graph Algorithms and Convex Optimization.
  • Statistical inference.