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- W1586564767 abstract "Publisher Summary The chapter presents a global optimization algorithm for the solution of the general nonlinear bilevel programming problem that involves twice differentible functions. The approach is based on a relaxation and branch and bound framework. The relaxation is accomplished by an enlargement of the feasible solution space of the bilevel problem. The resulting relaxed optimization problem is solved to global optimality by using the deterministic global optimization algorithm, αBB. Consequently, a lower bound is obtained. An upper bound to the global minimum is obtained by transforming the original problem into a single level one without the relaxation and solving for local optimality. After upper and lower bounds on the global solution are obtained, the initial region of the problem variables is partitioned into smaller regions by using one of the branching rules that are developed within the deterministic global optimization algorithm, αBB." @default.
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- W1586564767 date "2001-01-01" @default.
- W1586564767 modified "2023-09-27" @default.
- W1586564767 title "Nonlinear bilevel programming: A deterministic global optimization framework" @default.
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- W1586564767 doi "https://doi.org/10.1016/s1570-7946(01)80061-4" @default.
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