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Some comments on the optimal assembly problem

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  • Frank K. Hwang
  • Uriel G. Rothblum

Abstract

It is shown that two recent results of Baxter and Harche [1] on monotone and balanced optimal assemblies hold only under conditions that are more restrictive than those originally proposed by the authors. We describe such additional conditions, illustrate why they are needed, and establish their sufficiency. We also consider a recent result by Malon [11] and demonstrate that, while the result itself is correct, its two proofs were incomplete. A complete proof of an extension of the result is then suggested. © 1995 John Wiley & Sons, Inc.

Suggested Citation

  • Frank K. Hwang & Uriel G. Rothblum, 1995. "Some comments on the optimal assembly problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(5), pages 757-771, August.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:5:p:757-771
    DOI: 10.1002/1520-6750(199508)42:53.0.CO;2-K
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    References listed on IDEAS

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    1. Frank K. Hwang & Uriel G. Rothblum, 1994. "Optimality of Monotone Assemblies for Coherent Systems Composed of Series Modules," Operations Research, INFORMS, vol. 42(4), pages 709-720, August.
    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.
    3. Laurence A. Baxter & Farid Harche, 1992. "Note: On the greedy algorithm for optimal assembly," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 833-837, October.
    4. Frank K. Hwang & Uriel G. Rothblum, 1993. "Majorization and Schur Convexity with Respect to Partial Orders," Mathematics of Operations Research, INFORMS, vol. 18(4), pages 928-944, November.
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