IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v101y1997i1p130-139.html
   My bibliography  Save this article

A contraction algorithm for the multiparametric integer linear programming problem

Author

Listed:
  • Crema, Alejandro

Abstract

No abstract is available for this item.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:101:y:1997:i:1:p:130-139
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0377-2217(95)00369-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Loukakis, E. & Muhlemann, A. P., 1984. "Parameterisation algorithms for the integer linear programs in binary variables," European Journal of Operational Research, Elsevier, vol. 17(1), pages 104-115, July.
    2. 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.
    3. 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.
    4. Bezalel Gavish & Hasan Pirkul, 1991. "Algorithms for the Multi-Resource Generalized Assignment Problem," Management Science, INFORMS, vol. 37(6), pages 695-713, June.
    5. 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.
    6. R. Kipp Martin, 1987. "Generating Alternative Mixed-Integer Programming Models Using Variable Redefinition," Operations Research, INFORMS, vol. 35(6), pages 820-831, December.
    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. Liao, Chao-ning & Önal, Hayri & Chen, Ming-Hsiang, 2009. "Average shadow price and equilibrium price: A case study of tradable pollution permit markets," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1207-1213, August.
    2. Crema, Alejandro, 1999. "An algorithm to perform a complete right-hand-side parametrical analysis for a 0-1-integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 114(3), pages 569-579, May.
    3. Berman, Oded & Hajizadeh, Iman & Krass, Dmitry & Rahimi-Vahed, Alireza, 2018. "Reconfiguring a set of coverage-providing facilities under travel time uncertainty," Socio-Economic Planning Sciences, Elsevier, vol. 62(C), pages 1-12.
    4. 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.
    5. 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.
    6. Sylva, John & Crema, Alejandro, 2004. "A method for finding the set of non-dominated vectors for multiple objective integer linear programs," European Journal of Operational Research, Elsevier, vol. 158(1), pages 46-55, October.

    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. 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.
    2. 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.
    3. Crema, Alejandro, 1999. "An algorithm to perform a complete right-hand-side parametrical analysis for a 0-1-integer linear programming problem," European Journal of Operational Research, Elsevier, vol. 114(3), pages 569-579, May.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Luis Gouveia, 1998. "Using Variable Redefinition for Computing Lower Bounds for Minimum Spanning and Steiner Trees with Hop Constraints," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 180-188, May.
    9. Maria Cremers & Willem Klein Haneveld & Maarten Vlerk, 2009. "A two-stage model for a day-ahead paratransit planning problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 69(2), pages 323-341, May.
    10. 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).
    11. Labelle, A. & Langevin, A. & Campbell, J. F., 2002. "Sector design for snow removal and disposal in urban areas," Socio-Economic Planning Sciences, Elsevier, vol. 36(3), pages 183-202, September.
    12. 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.
    13. 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.
    14. S. Rajagopalan, 1998. "Capacity Expansion and Equipment Replacement: A Unified Approach," Operations Research, INFORMS, vol. 46(6), pages 846-857, December.
    15. Hong Zhang & Heng Li & C. M. Tam, 2006. "Heuristic scheduling of resource-constrained, multiple-mode and repetitive projects," Construction Management and Economics, Taylor & Francis Journals, vol. 24(2), pages 159-169.
    16. Jans, Raf, 2010. "Classification of Dantzig-Wolfe reformulations for binary mixed integer programming problems," European Journal of Operational Research, Elsevier, vol. 204(2), pages 251-254, July.
    17. Modibbo, Umar Muhammad & Arshad, Mohd. & Abdalghani, Omer & Ali, Irfan, 2021. "Optimization and estimation in system reliability allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    18. repec:dgr:rugsom:00a22 is not listed on IDEAS
    19. S. Dempe & F. Mefo Kue, 2017. "Solving discrete linear bilevel optimization problems using the optimal value reformulation," Journal of Global Optimization, Springer, vol. 68(2), pages 255-277, June.
    20. Gavish, Bezalel, 1997. "Low earth orbit satellite based communication systems -- Research opportunities," European Journal of Operational Research, Elsevier, vol. 99(1), pages 166-179, May.
    21. 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.

    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:eee:ejores:v:101:y:1997:i:1:p:130-139. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.