Global and Discrete Constraint Activity

[+] Author and Article Information
L. P. Pomrehn, P. Y. Papalambros

Design Laboratory, Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

J. Mech. Des 116(3), 745-748 (Sep 01, 1994) (4 pages) doi:10.1115/1.2919445 History: Received March 01, 1992; Revised February 01, 1994; Online June 02, 2008


The concept of constraint activity, widely used throughout the optimization literature, is extended and clarified to deal with global optimization problems containing either continuous or discrete variables. The article presents definitions applicable to individual constraints and discusses definitions for groups of constraints. Concepts are reinforced through the use of examples. The definitions are used to investigate the ideas of optimization “cases” and monotonicity analysis as applied to global and discrete problems. Relationships to local optimization are also noted.

Copyright © 1994 by The American Society of Mechanical Engineers
Topics: Optimization
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