IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v18y1972i9p465-491.html
   My bibliography  Save this article

Integer Programming Algorithms: A Framework and State-of-the-Art Survey

Author

Listed:
  • A. M. Geoffrion

    (University of California, Los Angeles)

  • R. E. Marsten

    (University of California, Los Angeles)

Abstract

A unifying framework is developed to facilitate the understanding of most known computational approaches to integer programming. A number of currently operational algorithms are related to this framework, and prospects for future progress are assessed.

Suggested Citation

  • A. M. Geoffrion & R. E. Marsten, 1972. "Integer Programming Algorithms: A Framework and State-of-the-Art Survey," Management Science, INFORMS, vol. 18(9), pages 465-491, May.
    • Handle: RePEc:inm:ormnsc:v:18:y:1972:i:9:p:465-491
    DOI: 10.1287/mnsc.18.9.465
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.18.9.465
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.18.9.465?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. Manfred Padberg, 2005. "Classical Cuts for Mixed-Integer Programming and Branch-and-Cut," Annals of Operations Research, Springer, vol. 139(1), pages 321-352, October.
    2. Simpson, Wendell P. & Patterson, James H., 1996. "A multiple-tree search procedure for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 89(3), pages 525-542, March.
    3. Michael Brusco & Renu Singh & Douglas Steinley, 2009. "Variable Neighborhood Search Heuristics for Selecting a Subset of Variables in Principal Component Analysis," Psychometrika, Springer;The Psychometric Society, vol. 74(4), pages 705-726, December.
    4. Derpich, Ivan & Vera, Jorge R., 2006. "Improving the efficiency of the Branch and Bound algorithm for integer programming based on "flatness" information," European Journal of Operational Research, Elsevier, vol. 174(1), pages 92-101, October.
    5. Thomas L. Morin & Roy E. Marsten, 1974. "Brand-and-Bound Strategies for Dynamic Programming," Discussion Papers 106, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    6. George R. Wilson & Hemant K. Jain, 1988. "An approach to postoptimality and sensitivity analysis of zero‐one goal programs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 73-84, February.
    7. Amen, Matthias, 2006. "Cost-oriented assembly line balancing: Model formulations, solution difficulty, upper and lower bounds," European Journal of Operational Research, Elsevier, vol. 168(3), pages 747-770, February.
    8. Sun, Minghe, 2002. "The transportation problem with exclusionary side constraints and two branch-and-bound algorithms," European Journal of Operational Research, Elsevier, vol. 140(3), pages 629-647, August.
    9. Jeffrey Larson & Sven Leyffer & Prashant Palkar & Stefan M. Wild, 2021. "A method for convex black-box integer global optimization," Journal of Global Optimization, Springer, vol. 80(2), pages 439-477, June.
    10. Robert M. Nauss, 2003. "Solving the Generalized Assignment Problem: An Optimizing and Heuristic Approach," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 249-266, August.
    11. Vinay Dharmadhikari, 1975. "Decision-Stage Method: Convergence Proof, Special Application, and Computation Experience," NBER Working Papers 0094, National Bureau of Economic Research, Inc.
    12. R M Nauss, 2004. "The elastic generalized assignment problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1333-1341, December.
    13. Lin, Edward Y. H. & Bricker, Dennis L., 1996. "Computational comparison on the partitioning strategies in multiple choice integer programming," European Journal of Operational Research, Elsevier, vol. 88(1), pages 182-202, January.
    14. Throsby, C.D., 1973. "New Methodologies in Agricultural Production Economics: a Review," 1973 Conference, August 19-30, 1973, São Paulo, Brazil 181385, International Association of Agricultural Economists.
    15. Kim, Dong-Guen & Kim, Yeong-Dae, 2010. "A branch and bound algorithm for determining locations of long-term care facilities," European Journal of Operational Research, Elsevier, vol. 206(1), pages 168-177, October.
    16. Jeffery Kennington & Eli Olinick & Augustyn Ortynski & Gheorghe Spiride, 2003. "Wavelength Routing and Assignment in a Survivable WDM Mesh Network," Operations Research, INFORMS, vol. 51(1), pages 67-79, February.
    17. 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:18:y:1972:i:9:p:465-491. 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.