IDEAS home Printed from https://ideas.repec.org/a/spr/comgts/v9y2012i2p183-203.html
   My bibliography  Save this article

Theoretical and algorithmic advances in multi-parametric programming and control

Author

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

Abstract

No abstract is available for this item.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10287-012-0144-4
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10287-012-0144-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    8. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Umeozor, Evar Chinedu & Trifkovic, Milana, 2016. "Operational scheduling of microgrids via parametric programming," Applied Energy, Elsevier, vol. 180(C), pages 672-681.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Iosif Pappas & Nikolaos A. Diangelakis & Efstratios N. Pistikopoulos, 2021. "The exact solution of multiparametric quadratically constrained quadratic programming problems," Journal of Global Optimization, Springer, vol. 79(1), pages 59-85, January.
    2. Richard Oberdieck & Martina Wittmann-Hohlbein & Efstratios Pistikopoulos, 2014. "A branch and bound method for the solution of multiparametric mixed integer linear programming problems," Journal of Global Optimization, Springer, vol. 59(2), pages 527-543, July.
    3. Martina Wittmann-Hohlbein & Efstratios Pistikopoulos, 2013. "On the global solution of multi-parametric mixed integer linear programming problems," Journal of Global Optimization, Springer, vol. 57(1), pages 51-73, September.
    4. Amir Akbari & Paul I. Barton, 2018. "An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 502-537, August.
    5. Zukui Li & Marianthi Ierapetritou, 2010. "A method for solving the general parametric linear complementarity problem," Annals of Operations Research, Springer, vol. 181(1), pages 485-501, December.
    6. C. Filippi, 2004. "An Algorithm for Approximate Multiparametric Linear Programming," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 73-95, January.
    7. Ilbin Lee & Stewart Curry & Nicoleta Serban, 2019. "Solving Large Batches of Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 31(2), pages 302-317, April.
    8. 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.
    9. J. Spjøtvold & P. Tøndel & T. A. Johansen, 2007. "Continuous Selection and Unique Polyhedral Representation of Solutions to Convex Parametric Quadratic Programs," Journal of Optimization Theory and Applications, Springer, vol. 134(2), pages 177-189, August.
    10. Stephan Helfrich & Arne Herzel & Stefan Ruzika & Clemens Thielen, 2022. "An approximation algorithm for a general class of multi-parametric optimization problems," Journal of Combinatorial Optimization, Springer, vol. 44(3), pages 1459-1494, October.
    11. 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.
    12. Crema, Alejandro, 1997. "A contraction algorithm for the multiparametric integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 101(1), pages 130-139, August.
    13. Filippi, Carlo & Romanin-Jacur, Giorgio, 2002. "Multiparametric demand transportation problem," European Journal of Operational Research, Elsevier, vol. 139(2), pages 206-219, June.
    14. Goldlücke, Susanne & Kranz, Sebastian, 2012. "Infinitely repeated games with public monitoring and monetary transfers," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1191-1221.
    15. Tcha, Dong-wan & Myung, Young-soo & Chung, Ki-ho, 1995. "Parametric uncapacitated facility location," European Journal of Operational Research, Elsevier, vol. 86(3), pages 469-479, November.
    16. Curry, Stewart & Lee, Ilbin & Ma, Simin & Serban, Nicoleta, 2022. "Global sensitivity analysis via a statistical tolerance approach," European Journal of Operational Research, Elsevier, vol. 296(1), pages 44-59.
    17. Fabian J. Sting & Arnd Huchzermeier, 2012. "Dual sourcing: Responsive hedging against correlated supply and demand uncertainty," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(1), pages 69-89, February.
    18. Benson, Harold P. & Sun, Erjiang, 2002. "A weight set decomposition algorithm for finding all efficient extreme points in the outcome set of a multiple objective linear program," European Journal of Operational Research, Elsevier, vol. 139(1), pages 26-41, May.
    19. Patrice Gaillardetz & Saeb Hachem, 2019. "Risk-Control Strategies," Papers 1908.02228, arXiv.org.
    20. Adelgren, Nathan & Wiecek, Margaret M., 2016. "A two-phase algorithm for the multiparametric linear complementarity problem," European Journal of Operational Research, Elsevier, vol. 254(3), pages 715-738.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:comgts:v:9:y:2012:i:2:p:183-203. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.