IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v23y1977i5p453-466.html
   My bibliography  Save this article

Exceptional Paper--Parametric and Postoptimality Analysis in Integer Linear Programming

Author

Listed:
  • A. M. Geoffrion

    (University of California, Los Angeles)

  • R. Nauss

    (University of Missouri-St. Louis)

Abstract

The purpose of this paper is to take stock of what is known and to suggest some conceptual foundations for future progress in the areas of postoptimality analysis and parametric optimization techniques for integer programming.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:5:p:453-466
    DOI: 10.1287/mnsc.23.5.453
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.23.5.453
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.23.5.453?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
    ---><---

    Citations

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


    Cited by:

    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. Huang, G. H. & Baetz, B. W. & Patry, G. G., 1997. "A response to "A comment on 'Grey integer programming: An application to waste management planning under uncertainty"' by Larry Jenkins," European Journal of Operational Research, Elsevier, vol. 100(3), pages 638-641, August.
    3. Zhou, Feng & Huang, Gordon H. & Chen, Guo-Xian & Guo, Huai-Cheng, 2009. "Enhanced-interval linear programming," European Journal of Operational Research, Elsevier, vol. 199(2), pages 323-333, December.
    4. 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.
    5. Benjamin Johnson & Alexandra Newman & Jeffrey King, 2017. "Optimizing high-level nuclear waste disposal within a deep geologic repository," Annals of Operations Research, Springer, vol. 253(2), pages 733-755, June.
    6. 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.
    7. Babacar Thiongane & Anass Nagih & Gérard Plateau, 2005. "An Adapted Step Size Algorithm for a 0-1 Biknapsack Lagrangean Dual," Annals of Operations Research, Springer, vol. 139(1), pages 353-373, October.
    8. Yilmaz, Hasan Ümitcan & Kimbrough, Steven O. & van Dinther, Clemens & Keles, Dogan, 2022. "Power-to-gas: Decarbonization of the European electricity system with synthetic methane," Applied Energy, Elsevier, vol. 323(C).
    9. M N Jalil & R A Zuidwijk & M Fleischmann & Jo A E E van Nunen, 2011. "Spare parts logistics and installed base information," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(3), pages 442-457, March.
    10. Ramaswamy, R. & Chakravarti, N. & Ghosh, D., 2000. "Complexity of determining exact tolerances for min-max combinatorial optimization problems," Research Report 00A22, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    11. 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.
    12. Chatterjee A K & Mukherjee, Saral, 2006. "Unified Concept of Bottleneck," IIMA Working Papers WP2006-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    13. 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.
    14. Crema, Alejandro, 2002. "The multiparametric 0-1-integer linear programming problem: A unified approach," European Journal of Operational Research, Elsevier, vol. 139(3), pages 511-520, June.
    15. Mukherjee, Saral & Chatterjee, A.K., 2006. "The average shadow price for MILPs with integral resource availability and its relationship to the marginal unit shadow price," European Journal of Operational Research, Elsevier, vol. 169(1), pages 53-64, February.
    16. Crema, Alejandro, 2000. "An algorithm for the multiparametric 0-1-integer linear programming problem relative to the objective function," European Journal of Operational Research, Elsevier, vol. 125(1), pages 18-24, August.
    17. O'Neill, Richard P. & Sotkiewicz, Paul M. & Hobbs, Benjamin F. & Rothkopf, Michael H. & Stewart, William R., 2005. "Efficient market-clearing prices in markets with nonconvexities," European Journal of Operational Research, Elsevier, vol. 164(1), pages 269-285, July.
    18. Jenkins, Larry, 1996. "A comment on "Grey integer programming: an application to waste management planning under uncertainty" by Guo H. Huang, Brian W. Baetz, Gilles G. Patry : European Journal of Operational Rese," European Journal of Operational Research, Elsevier, vol. 89(3), pages 671-670, March.
    19. repec:dgr:rugsom:00a22 is not listed on IDEAS
    20. Crema, Alejandro, 2002. "An algorithm to perform a complete parametric analysis relative to the constraint matrix for a 0-1-integer linear program," European Journal of Operational Research, Elsevier, vol. 138(3), pages 484-494, May.
    21. George Kozanidis & Eftychia Kostarelou, 2023. "An Exact Solution Algorithm for Integer Bilevel Programming with Application in Energy Market Optimization," Journal of Optimization Theory and Applications, Springer, vol. 197(2), pages 573-607, May.
    22. Wang, Yi & Yang, Zhifang & Yu, Juan & Liu, Sixu, 2023. "Pricing in non-convex electricity markets with flexible trade-off of pricing properties," Energy, Elsevier, vol. 274(C).
    23. Myung, Young-Soo & Kim, Hu-gon & Tcha, Dong-wan, 1997. "A bi-objective uncapacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 100(3), pages 608-616, August.
    24. Wang, Hsiao-Fan & Horng, Jyh-Shing, 1996. "Structural approach to parametric analysis of an IP on the case of the right-hand side," European Journal of Operational Research, Elsevier, vol. 92(1), pages 148-156, July.

    More about this item

    Statistics

    Access and download statistics

    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:inm:ormnsc:v:23:y:1977:i:5:p:453-466. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.