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- W2799642017 abstract "A weak linear bilevel programming (WLBP) problem often models problems involving hierarchy structure in expert and intelligent systems under the pessimistic point. In the paper, we deal with such a problem. Using the duality theory of linear programming, the WLBP problem is first equivalently transformed into a jointly constrained bilinear programming problem. Then, we show that the resolution of the jointly constrained bilinear programming problem is equivalent to the resolution of a disjoint bilinear programming problem under appropriate assumptions. This may give a possibility to solve the WLBP problem via a single-level disjoint bilinear programming problem. Furthermore, some examples illustrate the solution process and feasibility of the proposed method. Finally, the WLBP problem models a principal-agent problem under the pessimistic point that is also compared with a principal-agent problem under the optimistic point." @default.
- W2799642017 created "2018-05-17" @default.
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- W2799642017 date "2018-07-01" @default.
- W2799642017 modified "2023-10-04" @default.
- W2799642017 title "A reducibility method for the weak linear bilevel programming problems and a case study in principal-agent" @default.
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- W2799642017 doi "https://doi.org/10.1016/j.ins.2018.04.045" @default.
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