Showing papers by "Leon S. Lasdon published in 1977"

Operations Research in the Far East

Abstract: This paper contains information obtained during my lecture tour of the Far East, June 1–July 15, 1976. The tour was sponsored by the Office of Naval Research, with the objective of information exchange. I visited university and industry personnel in Japan, Taiwan, Hong Kong, the Phillipines, and Singapore, and lectured on a variety of operations research topics, principally optimization applications, algorithms, and software. The presentation is chronological, giving my recollections of each day's discussions at the various institutions visited. Any inaccuracies are due entirely to me. For those seeking additional information, a list of addresses of persons referred to in this paper may be found in Appendix A.

Recent developments in nonlinear optimization and their use in engineering design

Abstract: Publisher Summary This chapter discusses the developments in nonlinear optimization and their use in engineering design. The specific GRG algorithm developed has been tested on a great variety of problems with success. GRG uses the nb binding constraint equations to solve for nb of the natural variables in terms of the remaining n-nb natural variables. The nb slack variables associated with the binding constraints will be within ɛ of zero and in analogy with LP can be considered as additional nonbasic variables. The slacks for the nonbinding constraints are determined simply by evaluating these constraints and setting the slacks. These slack variables can be considered as additional basic variables. The basic variable must be selected so that the nb × nb basis matrix is nonsingular at the current point. The binding constraints may be solved for y in terms of x yielding functions y(x) valid for all (x, y) sufficiently near (x, y).