Abstract
This paper provides several new and simple characterizations of the solution sets of pseudolinear programs. By means of the basic properties of pseudolinearity, the solution set of a pseudolinear program is characterized, for instance, by the equality that {Mathematical expression}, for each feasible point x, where {Mathematical expression} is in the solution set. As a consequence, we give characterizations of both the solution set and the boundedness of the solution set of a linear fractional program.
Original language | English |
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Pages (from-to) | 747-755 |
Number of pages | 9 |
Journal | Journal of Optimization Theory and Applications |
Volume | 87 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Dec 1995 |
Externally published | Yes |
Keywords
- linear fractional programs
- pseudolinear programs
- Solution sets
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics