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RESEARCH PAPERS: Other Technical Papers

Mathematical Programming Procedures for Mixed Discrete-Continuous Design Problems

[+] Author and Article Information
M. Pappas, A. Allentuch

Newark College of Engineering, Newark, N. J.

J. Eng. Ind 96(1), 201-209 (Feb 01, 1974) (9 pages) doi:10.1115/1.3438299 History: Received June 06, 1973; Online July 15, 2010

Abstract

Two mathematical programming procedures for treating nonlinear problems involving mixed variables are presented. One involves a relatively simple concept. First an optimum is located treating all variables as continuous. Adjacent discrete points are then evaluated in order of increasing distance from the all-continuous optimum, each evaluation requiring an optimization of the continuous variables, if any, until a satisfactory design is found. The other method utilizes an optimal discrete search to locate the optimum. These procedures are applied to the minimum weight design of stiffened, cylindrical shells where they prove to be effective.

Copyright © 1974 by ASME
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