NDLI: A genetic algorithm for solving linear fractional bilevel problems

Content Provider	Springer Nature Link
Author	Calvete, Herminia I. Galé, Carmen Mateo, Pedro M.
Copyright Year	2008
Abstract	Bilevel programming has been proposed for dealing with decision processes involving two decision makers with a hierarchical structure. They are characterized by the existence of two optimization problems in which the constraint region of the upper level problem is implicitly determined by the lower level optimization problem. In this paper a genetic algorithm is proposed for the class of bilevel problems in which both level objective functions are linear fractional and the common constraint region is a bounded polyhedron. The algorithm associates chromosomes with extreme points of the polyhedron and searches for a feasible solution close to the optimal solution by proposing efficient crossover and mutation procedures. The computational study shows a good performance of the algorithm, both in terms of solution quality and computational time.
Starting Page	39
Ending Page	56
Page Count	18
File Format	PDF
ISSN	02545330
Journal	Annals of Operations Research
Volume Number	166
Issue Number	1
e-ISSN	15729338
Language	English
Publisher	Springer US
Publisher Date	2008-08-14
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Bilevel programming Genetic algorithm Extreme point Linear fractional Theory of Computation Combinatorics Operations Research/Decision Theory
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research

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A genetic algorithm for solving linear fractional bilevel problems