Characterization of local solutions for a class of nonconvex programs

Bansal, P. P. ; Jacobsen, S. E.
Springer
Published 1975
ISSN:
1573-2878
Keywords:
Nonconvex programming ; mathematical programming ; operations research ; sufficiency conditions ; necessary conditions
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A nonconvex programming problem, which arises in the context of application of Benders' decomposition procedure to a class of network optimization problems, is considered. Conditions which are both necessary and sufficient for a local maximum are derived. The concept of a basic local maximum is introduced, and it is shown that there is a finite number of basic local maxima and at least one such local maximum is optimal.
Type of Medium:
Electronic Resource
URL: