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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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    1. Crema, Alejandro, 1998. "A procedure to verify the completeness of the right-hand-side parametric analysis for a mixed integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 108(3), pages 684-695, August.
    2. 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.
    3. 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).
    4. Masakazu Kojima, 1979. "A Complementary Pivoting Approach to Parametric Nonlinear Programming," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 464-477, November.
    5. Joseph, Anito & Bryson, Noel, 1998. "Parametric linear programming and cluster analysis," European Journal of Operational Research, Elsevier, vol. 111(3), pages 582-588, December.
    6. Rountree, Suzanne L. K. & Gillett, Billy E., 1982. "Parametric integer linear programming: A synthesis of branch and bound with cutting planes," European Journal of Operational Research, Elsevier, vol. 10(2), pages 183-189, June.
    7. Roy A. Marsten & Thomas Morin, 1975. "Parametric Integer Programming the Right Hand Side Case," NBER Working Papers 0106, National Bureau of Economic Research, Inc.
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    9. 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.
    10. Tomas Gal, 1975. "Rim Multiparametric Linear Programming," Management Science, INFORMS, vol. 21(5), pages 567-575, January.
    11. P. Jonker & G. Still & F. Twilt, 2001. "One-Parametric Linear-Quadratic Optimization Problems," Annals of Operations Research, Springer, vol. 101(1), pages 221-253, January.
    12. 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.
    13. 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.
    14. Tomas Gal & Josef Nedoma, 1972. "Multiparametric Linear Programming," Management Science, INFORMS, vol. 18(7), pages 406-422, March.
    15. 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.
    16. ,, 2000. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 16(2), pages 287-299, April.
    17. Thomas Saaty & Saul Gass, 1954. "Parametric Objective Function (Part 1)," Operations Research, INFORMS, vol. 2(3), pages 316-319, August.
    18. 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.
    19. GAL, Thomas & NEDOMA, Jozef, 1972. "Multiparametric linear programming," LIDAM Reprints CORE 115, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    20. C. Filippi, 2004. "An Algorithm for Approximate Multiparametric Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 73-95, January.
    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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