An Objective Penalty Function of Bilevel Programming
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DOI: 10.1007/s10957-011-9945-9
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- G. S. Liu & J. Y. Han & J. Z. Zhang, 2001. "Exact Penalty Functions for Convex Bilevel Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 621-643, September.
- Ankhili, Z. & Mansouri, A., 2009. "An exact penalty on bilevel programs with linear vector optimization lower level," European Journal of Operational Research, Elsevier, vol. 197(1), pages 36-41, August.
- Yang, Hai & Zhang, Xiaoning & Meng, Qiang, 2007. "Stackelberg games and multiple equilibrium behaviors on networks," Transportation Research Part B: Methodological, Elsevier, vol. 41(8), pages 841-861, October.
- Kogan, Konstantin & Tapiero, Charles S., 2009. "Optimal co-investment in supply chain infrastructure," European Journal of Operational Research, Elsevier, vol. 192(1), pages 265-276, January.
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Keywords
Bilevel programming; Objective penalty function; Penalty function; Algorithm;All these keywords.
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