Accession Number:

AD0679618

Title:

NON-CONVEX PROGRAMMING.

Descriptive Note:

Themis optimization research program,

Corporate Author:

TEXAS A AND M UNIV COLLEGE STATION INST OF STATISTICS

Personal Author(s):

• Hartley,H. O.
• Hocking,R. R.

Report Date:

1968-11-26

Pagination or Media Count:

25.0

Abstract:

The paper is concerned with the solution of the problem, minimize f sub ox,y, subject to the constraints, f sub ix,y or 0, i 1, ..., m, when the functions f sub ix,y are not necessarily convex in the variables x and y. In particular, it is assumed that we may write f sub ix,y h sub ix - g sub iy, i 0, ..., m where the h sub ix are convex functions of the n-vector x but nothing is assumed about the functions g sub iy which depend on the N-vector y. Techniques are proposed for obtaining relative optima for the general problem and global optima for certain special cases. Author

Descriptors:

• (*NONLINEAR PROGRAMMING
• PROBLEM SOLVING)
• OPTIMIZATION
• ALGORITHMS

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE