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Optimal assembly of systems using schur functions and majorization

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  • Emad El‐Neweihi
  • Frank Proschan
  • Jayaram Sethuraman

Abstract

A general assembly of n systems from k types of components is considered. The techniques of majorization and Schur function are utilized to pinpoint the optimal assembly under several criteria. Earlier results of Derman. Leiberman, and Ross [2] and El‐Neweihi, Proschan, and Sethuraman [3] are generalized.

Suggested Citation

  • Emad El‐Neweihi & Frank Proschan & Jayaram Sethuraman, 1987. "Optimal assembly of systems using schur functions and majorization," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(5), pages 705-712, October.
    • Handle: RePEc:wly:navres:v:34:y:1987:i:5:p:705-712
    DOI: 10.1002/1520-6750(198710)34:53.0.CO;2-P
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    References listed on IDEAS

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    1. Proschan, F. & Sethuraman, J., 1976. "Stochastic comparisons of order statistics from heterogeneous populations, with applications in reliability," Journal of Multivariate Analysis, Elsevier, vol. 6(4), pages 608-616, December.
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    Cited by:

    1. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
    2. David M. Malon, 1990. "When is greedy module assembly optimal?," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 847-854, December.

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