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Theoretical and algorithmic advances in multi-parametric programming and control

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  • Efstratios Pistikopoulos
  • Luis Dominguez
  • Christos Panos
  • Konstantinos Kouramas
  • Altannar Chinchuluun

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  • Efstratios Pistikopoulos & Luis Dominguez & Christos Panos & Konstantinos Kouramas & Altannar Chinchuluun, 2012. "Theoretical and algorithmic advances in multi-parametric programming and control," Computational Management Science, Springer, vol. 9(2), pages 183-203, May.
    • Handle: RePEc:spr:comgts:v:9:y:2012:i:2:p:183-203
    DOI: 10.1007/s10287-012-0144-4
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    References listed on IDEAS

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    2. Joseph, Anito & Bryson, Noel, 1998. "Parametric linear programming and cluster analysis," European Journal of Operational Research, Elsevier, vol. 111(3), pages 582-588, December.
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    5. A. M. Geoffrion & R. Nauss, 1977. "Exceptional Paper--Parametric and Postoptimality Analysis in Integer Linear Programming," Management Science, INFORMS, vol. 23(5), pages 453-466, January.
    6. Vivek Dua & Efstratios Pistikopoulos, 2000. "An Algorithm for the Solution of Multiparametric Mixed Integer Linear Programming Problems," Annals of Operations Research, Springer, vol. 99(1), pages 123-139, December.
    7. Tomas Gal, 1975. "Rim Multiparametric Linear Programming," Management Science, INFORMS, vol. 21(5), pages 567-575, January.
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    9. F. Borrelli & A. Bemporad & M. Morari, 2003. "Geometric Algorithm for Multiparametric Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 515-540, September.
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    13. S. De Marchi & I. Raykov, 2006. "Parametric Method for Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 130(3), pages 411-430, September.
    14. C. Filippi, 2004. "An Algorithm for Approximate Multiparametric Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 73-95, January.
    15. Gailly, B. & Installe, M. & Smeers, Y., 2001. "A new resolution method for the parametric linear complementarity problem," European Journal of Operational Research, Elsevier, vol. 128(3), pages 639-646, February.
    16. GAILLY, Benoît & INSTALLE, Michel & SMEERS, Yves, 2001. "A new resolution method for the parametric linear complementarity problem," LIDAM Reprints CORE 1491, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    18. Chern, Maw-Sheng & Jan, Rong-Hong & Chern, Ren-Jer, 1991. "Parametric nonlinear integer programming: The right-hand side case," European Journal of Operational Research, Elsevier, vol. 54(2), pages 237-255, September.
    19. R. D. McBride & J. S. Yormark, 1980. "Finding All Solutions for a Class of Parametric Quadratic Integer Programming Problems," Management Science, INFORMS, vol. 26(8), pages 784-795, August.
    20. GAL, Thomas & NEDOMA, Jozef, 1972. "Multiparametric linear programming," LIDAM Reprints CORE 115, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. Mitsos, Alexander & Barton, Paul I., 2009. "Parametric mixed-integer 0-1 linear programming: The general case for a single parameter," European Journal of Operational Research, Elsevier, vol. 194(3), pages 663-686, May.
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    1. Umeozor, Evar Chinedu & Trifkovic, Milana, 2016. "Operational scheduling of microgrids via parametric programming," Applied Energy, Elsevier, vol. 180(C), pages 672-681.

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