Modular Design—A Special Case in Nonlinear Programming
- 1 August 1963
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Operations Research
- Vol. 11 (4) , 637-647
- https://doi.org/10.1287/opre.11.4.637
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 Rαβ ≧ 0, find positive Bα, mβ such that Bαmβ ≧ Rαβ, α = 1, 2, …, n, β = 1, 2, …, k and such that W = ∑βmβ∑αBα 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.Keywords
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