Title
Improperly efficient solutions in a class of vector optimization problems
Abstract
Improperly efficient solutions in the sense of Geoffrion in linear fractional vector optimization problems with unbounded constraint sets are studied systematically for the first time in this paper. We give two sets of conditions which assure that all the efficient solutions of a given problem are improperly efficient. We also obtain necessary conditions for an efficient solution to be improperly efficient. As a result, we have new sufficient conditions for Geoffrion's proper efficiency. The obtained results enrich our knowledge on properly efficient solutions in linear fractional vector optimization.
Year
DOI
Venue
2022
10.1007/s10898-021-01069-0
JOURNAL OF GLOBAL OPTIMIZATION
Keywords
DocType
Volume
Linear fractional vector optimization problem, Efficient solution, Geoffrion's properly efficient solution, Improperly efficient solutions, Benson's criterion
Journal
82
Issue
ISSN
Citations 
2
0925-5001
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
N. T. T. Huong151.65
N. D. Yen210417.57