Abstract
The bilevel programming (BLP) problem is a leader-follower game in which two players try to maximize their own objective functions over a common feasible region. This paper discusses an integer BLP with bounded variables in which the objective function of the first level is linear fractional, the objective function of the second level is linear and the common constraint region is a polyhedron. Various cuts have been discussed, which successively rank and scan the set of feasible solutions in decreasing order of leader’s objective function. By making use of these ranked solutions, we are able to solve the given BLP. An extension of BLP is also discussed in the form of constrained BLP, where in addition to the existing primary constraints, a set of secondary constraints is also introduced.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
