Optimal reliability allocation for redundancy series-parallel systems

Authors

  • Saad Abbas Abed University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independnetei 313, Bucharest 060042, Romania
  • Constantin Udriste University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independnetei 313, Bucharest 060042, Romania http://orcid.org/0000-0002-7132-6900
  • Ionel Tevy University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics, Splaiul Independnetei 313, Bucharest 060042, Romania

Keywords:

Reliability Allocation, Optimality Conditions, Duality, Similarities

Abstract

This paper examines the optimal reliability approaches to allocate the reliability values based on minimization of the total cost for a series-parallel systems. The problem is approached as a nonlinear programming problem and general costs formulas were suggested. The original results include: (i) submersion of a â€series-parallel system†into a â€series systemâ€, (ii) detailed analyse of a series-parallel system whose components of each subsystem have the same reliability; (iii) designing series-parallel systems by similarities with other engineering problems; (iv) dualities between reliability systems and electric circuits.

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Published

2017-07-11

Issue

Vol. 10 No. 4: (July 2017)

Section

Operational Research

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How to Cite

Optimal reliability allocation for redundancy series-parallel systems. (2017). European Journal of Pure and Applied Mathematics, 10(4), 877-889. https://www.ejpam.com/index.php/ejpam/article/view/3014