0
RESEARCH PAPERS

A Weighted Flexible Tolerance Algorithm for Constrained Minimization

[+] Author and Article Information
M. A. Townsend

Dept. of Mechanical Engineering, Vanderbilt University, Nashville, Tenn.

F. Y. Lam

SPAR Aerospace, Ltd., Toronto, Ontario, Canada

J. Eng. Ind 97(4), 1291-1294 (Nov 01, 1975) (4 pages) doi:10.1115/1.3438750 History: Received July 10, 1974; Online July 15, 2010

Abstract

A direct search algorithm based upon the flexible tolerance method developed by Paviani and Himmelblau [1] for minimization of a functional subject to nonlinear equality and inequality constraints is proposed and evaluated. The modification incorporates a weighting on the direction of search in which the flexible polyhedron formed orients itself toward the gradient of the objective function (and clings to all active constraints). This is accomplished by weighting the centroid, in the sense of minimization, of the polyhedron with respect to the objective function. A number of problems have been solved satisfactorily by this algorithm, generally with more rapid convergence.

Copyright © 1975 by ASME
Topics: Algorithms
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In