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Bilevel Programming and Applications

Author

Listed:
  • Vyacheslav V. Kalashnikov
  • Stephan Dempe
  • Gerardo A. Pérez-Valdés
  • Nataliya I. Kalashnykova
  • José-Fernando Camacho-Vallejo

Abstract

A great amount of new applied problems in the area of energy networks has recently arisen that can be efficiently solved only as mixed-integer bilevel programs. Among them are the natural gas cash-out problem, the deregulated electricity market equilibrium problem, biofuel problems, a problem of designing coupled energy carrier networks, and so forth, if we mention only part of such applications. Bilevel models to describe migration processes are also in the list of the most popular new themes of bilevel programming, as well as allocation, information protection, and cybersecurity problems. This survey provides a comprehensive review of some of the above-mentioned new areas including both theoretical and applied results.

Suggested Citation

  • Vyacheslav V. Kalashnikov & Stephan Dempe & Gerardo A. Pérez-Valdés & Nataliya I. Kalashnykova & José-Fernando Camacho-Vallejo, 2015. "Bilevel Programming and Applications," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-16, March.
    • Handle: RePEc:hin:jnlmpe:310301
    DOI: 10.1155/2015/310301
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    Cited by:

    1. Rizk M. Rizk-Allah & Mahmoud A. Abo-Sinna, 2021. "A comparative study of two optimization approaches for solving bi-level multi-objective linear fractional programming problem," OPSEARCH, Springer;Operational Research Society of India, vol. 58(2), pages 374-402, June.
    2. Lüer-Villagra, Armin & Marianov, Vladimir & Eiselt, H.A. & Méndez-Vogel, Gonzalo, 2022. "The leader multipurpose shopping location problem," European Journal of Operational Research, Elsevier, vol. 302(2), pages 470-481.
    3. Joaquim Dias Garcia & Guilherme Bodin & Alexandre Street, 2024. "BilevelJuMP.jl: Modeling and Solving Bilevel Optimization Problems in Julia," INFORMS Journal on Computing, INFORMS, vol. 36(2), pages 327-335, March.

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