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On generalized semi-infinite optimization and bilevel optimization


  • Stein, Oliver
  • Still, Georg


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  • Stein, Oliver & Still, Georg, 2002. "On generalized semi-infinite optimization and bilevel optimization," European Journal of Operational Research, Elsevier, vol. 142(3), pages 444-462, November.
  • Handle: RePEc:eee:ejores:v:142:y:2002:i:3:p:444-462

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    References listed on IDEAS

    1. Still, G., 1999. "Generalized semi-infinite programming: Theory and methods," European Journal of Operational Research, Elsevier, vol. 119(2), pages 301-313, December.
    2. Jan-J. Rückmann & Oliver Stein, 2001. "On Linear and Linearized Generalized Semi-Infinite Optimization Problems," Annals of Operations Research, Springer, vol. 101(1), pages 191-208, January.
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    Cited by:

    1. Lopez, Marco & Still, Georg, 2007. "Semi-infinite programming," European Journal of Operational Research, Elsevier, vol. 180(2), pages 491-518, July.
    2. Alexander Mitsos & Angelos Tsoukalas, 2015. "Global optimization of generalized semi-infinite programs via restriction of the right hand side," Journal of Global Optimization, Springer, vol. 61(1), pages 1-17, January.
    3. repec:spr:joptap:v:137:y:2008:i:2:d:10.1007_s10957-008-9352-z is not listed on IDEAS
    4. Geletu, Abebe & Hoffmann, Armin, 2004. "A conceptual method for solving generalized semi-infinite programming problems via global optimization by exact discontinuous penalization," European Journal of Operational Research, Elsevier, vol. 157(1), pages 3-15, August.
    5. Zhu, Y. & Huang, G.H. & Li, Y.P. & He, L. & Zhang, X.X., 2011. "An interval full-infinite mixed-integer programming method for planning municipal energy systems - A case study of Beijing," Applied Energy, Elsevier, vol. 88(8), pages 2846-2862, August.
    6. repec:spr:joptap:v:169:y:2016:i:3:d:10.1007_s10957-016-0862-9 is not listed on IDEAS
    7. Stein, Oliver, 2012. "How to solve a semi-infinite optimization problem," European Journal of Operational Research, Elsevier, vol. 223(2), pages 312-320.
    8. repec:spr:joptap:v:138:y:2008:i:3:d:10.1007_s10957-008-9385-3 is not listed on IDEAS
    9. repec:spr:joptap:v:141:y:2009:i:2:d:10.1007_s10957-008-9475-2 is not listed on IDEAS
    10. P. Guo & G. Huang & L. He & H. Zhu, 2009. "Interval-parameter Two-stage Stochastic Semi-infinite Programming: Application to Water Resources Management under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(5), pages 1001-1023, March.
    11. Volker Maag, 2015. "A collision detection approach for maximizing the material utilization," Computational Optimization and Applications, Springer, vol. 61(3), pages 761-781, July.
    12. Oliver Stein, 2012. "Comments on: Stability in linear optimization and related topics. A personal tour," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(2), pages 265-266, July.
    13. repec:spr:jglopt:v:68:y:2017:i:2:d:10.1007_s10898-016-0476-7 is not listed on IDEAS
    14. S. Dempe & S. Franke, 2016. "On the solution of convex bilevel optimization problems," Computational Optimization and Applications, Springer, vol. 63(3), pages 685-703, April.
    15. repec:spr:joptap:v:137:y:2008:i:1:d:10.1007_s10957-007-9283-0 is not listed on IDEAS
    16. Wang, Guangmin & Gao, Ziyou & Xu, Meng & Sun, Huijun, 2014. "Joint link-based credit charging and road capacity improvement in continuous network design problem," Transportation Research Part A: Policy and Practice, Elsevier, vol. 67(C), pages 1-14.
    17. repec:spr:joptap:v:146:y:2010:i:2:d:10.1007_s10957-010-9674-5 is not listed on IDEAS
    18. repec:spr:joptap:v:173:y:2017:i:1:d:10.1007_s10957-017-1085-4 is not listed on IDEAS
    19. Polyxeni-Margarita Kleniati & Claire Adjiman, 2014. "Branch-and-Sandwich: a deterministic global optimization algorithm for optimistic bilevel programming problems. Part I: Theoretical development," Journal of Global Optimization, Springer, vol. 60(3), pages 425-458, November.

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