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The bilevel programming problem is a leader follower game in which two players try to maximize their own objective function over a common feasible region. In this paper we consider the bilevel programming problem in which both the objective functions are linear fractional and the variables take non-negative integral values. An algorithm to find the optimal integer solution is developed. The search...
Bilevel programming involves two optimization problems where the constraint region of the first level problem is implicitly determined by another optimization problem. In this paper, we consider the bilevel programming problem in which the objective function of both levels is indefinite quadratic and the feasible region is a convex polyhedron. At first, a method similar to simplex method to solve...
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