Optimum Allocation in Multistate Systems, with Applications in Reliability.

Abstract

This paper presents some results in the optimal allocation of multistate components in a parallel-series system. In addition, these results may be used to obtain fruitful applications in reliability theory. Our basic mathematical tools are majorization and Schur functions; the theorems obtained and methods used are related to those of Optimal Allocation of Components in Parallel-Series and Series-Parallel Systems, (1984). The present paper and the reference just above are the only papers exploiting the elegance and power of majorization and Schur functions to solve optimal allocation problems in reliability. Keywords: Optimum allocations; Multistate systems; Schur functions; Majorization; Spares; Redundancy; Parallel-series systems; Reliability.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA161392

Entities

People

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

Organizations

  • Florida State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Classification
  • Governments
  • Mathematics
  • Military Forces (United States)
  • Military Organizations
  • Military Research
  • Random Variables
  • Redundancy
  • Reliability
  • Scientific Research
  • Statistics
  • Universities

Fields of Study

  • Engineering

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  • Inertial Navigation Systems.
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