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Optimal Assignment of Components to Parallel-Series and Series-Parallel Systems

Author

Listed:
  • V. Rajendra Prasad

    (University of New Brunswick, Fredericton, Canada)

  • K. P. K. Nair

    (University of New Brunswick, Fredericton, Canada)

  • Y. P. Aneja

    (University of Windsor, Windsor, Canada)

Abstract

This paper deals with the problem of assigning components to parallel-series (PS) and series-parallel (SP) systems so as to maximize the system's reliability. We assume that any component can be assigned to any position of the system and the reliability of component j is r i p j if it is assigned to position i . Exploiting the nature of Schur-convex functions, an algorithm is developed to obtain an optimal assignment for PS systems. Also, a simple optimal assignment rule is derived for SP systems with only two positions in each minimal cutset and with component reliabilities invariant of positions.

Suggested Citation

  • V. Rajendra Prasad & K. P. K. Nair & Y. P. Aneja, 1991. "Optimal Assignment of Components to Parallel-Series and Series-Parallel Systems," Operations Research, INFORMS, vol. 39(3), pages 407-414, June.
    • Handle: RePEc:inm:oropre:v:39:y:1991:i:3:p:407-414
    DOI: 10.1287/opre.39.3.407
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    Cited by:

    1. V.D. Dinopoulou & C. Melolidakis, 2001. "Asymptotically optimal component assembly plans in repairable systems and server allocation in parallel multiserver queues," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(8), pages 732-746, December.

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