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Modular Design---A Special Case in Nonlinear Programming

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  • David H. Evans

    (Bell Telephone Laboratories, Whippany, New Jersey)

Abstract

The optimal design of a module under a special set of circumstances is considered. These circumstances prevail in the design of a module for logistical applications and sometimes in modular equipment design in electronic technology. Mathematically, the problem considered is given R (alpha)(beta) (ge) 0, find positive B (alpha) , m (beta) such that B (alpha) m (beta) (ge) R (alpha)(beta) , (alpha) = 1, 2, ..., n , (beta) = 1, 2, ..., k and such that W = (sum) (beta) m (beta) (sum) (alpha) B (alpha) is a minimum. It is attacked by first examining the primal problem, then finding a dual problem, and finally finding an algorithm for solving the dual.

Suggested Citation

  • David H. Evans, 1963. "Modular Design---A Special Case in Nonlinear Programming," Operations Research, INFORMS, vol. 11(4), pages 637-647, August.
    • Handle: RePEc:inm:oropre:v:11:y:1963:i:4:p:637-647
    DOI: 10.1287/opre.11.4.637
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    Cited by:

    1. Gökalp Erbeyoğlu & Ümit Bilge, 2016. "PSO-based and SA-based metaheuristics for bilinear programming problems: an application to the pooling problem," Journal of Heuristics, Springer, vol. 22(2), pages 147-179, April.
    2. H. P. Benson, 2006. "Continuous Modular Design Problem: Analysis and Solution Algorithms," Journal of Optimization Theory and Applications, Springer, vol. 131(2), pages 159-178, November.
    3. John Chao & Matty Chen & Aileen Deng & Harold Miao & Alexandra Newman & Sophia Tseng & Candace Arai Yano, 2005. "Safeway Designs Mixed-Product Pallets to Support Just-in-Time Deliveries," Interfaces, INFORMS, vol. 35(4), pages 294-307, August.

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