Abstract
In this paper, we discuss an SLCP algorithm for the solution of Bilevel Linear Programs (BLP) which consists of solving a sequence of Linear Complementarity Problems (LCP) by using a hybrid enumerative method. This latter algorithm incorporates a number of procedures that reduce substantially the search for a solution of the LCP or for showing that the LCP has no solution. Computational experience with the SLCP algorithm shows that it performs quite well for the solution of small- and medium-scale BLPs with sparse structure. Furthermore, the algorithm is shown to be more efficient than a branch-and-bound method for solving the same problems.
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Júdice, J.J., Faustino, A.M. A sequential LCP method for bilevel linear programming. Ann Oper Res 34, 89–106 (1992). https://doi.org/10.1007/BF02098174
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DOI: https://doi.org/10.1007/BF02098174