Modular Design---A Special Case in Nonlinear Programming

David H. Evans
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David H. Evans: Bell Telephone Laboratories, Whippany, New Jersey

Operations Research, 1963, vol. 11, issue 4, 637-647

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.

Date: 1963
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