IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v89y1996i3p609-617.html
   My bibliography  Save this article

LP relaxation of the two dimensional knapsack problem with box and GUB constraints

Author

Listed:
  • Bagchi, Ansuman
  • Bhattacharyya, Nalinaksha
  • Chakravarti, Nilotpal

Abstract

No abstract is available for this item.

Suggested Citation

  • Bagchi, Ansuman & Bhattacharyya, Nalinaksha & Chakravarti, Nilotpal, 1996. "LP relaxation of the two dimensional knapsack problem with box and GUB constraints," European Journal of Operational Research, Elsevier, vol. 89(3), pages 609-617, March.
  • Handle: RePEc:eee:ejores:v:89:y:1996:i:3:p:609-617
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0377-2217(94)00285-1
    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. Eitan Zemel, 1980. "The Linear Multiple Choice Knapsack Problem," Operations Research, INFORMS, vol. 28(6), pages 1412-1423, December.
    2. Prabhakant Sinha & Andris A. Zoltners, 1979. "The Multiple-Choice Knapsack Problem," Operations Research, INFORMS, vol. 27(3), pages 503-515, June.
    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. Silvano Martello & Paolo Toth, 2003. "An Exact Algorithm for the Two-Constraint 0--1 Knapsack Problem," Operations Research, INFORMS, vol. 51(5), pages 826-835, October.
    2. Chiranjit Changdar & Rajat Kumar Pal & Ghanshaym Singha Mahapatra & Abhinandan Khan, 2020. "A genetic algorithm based approach to solve multi-resource multi-objective knapsack problem for vegetable wholesalers in fuzzy environment," Operational Research, Springer, vol. 20(3), pages 1321-1352, September.
    3. Yoon, Yourim & Kim, Yong-Hyuk & Moon, Byung-Ro, 2012. "A theoretical and empirical investigation on the Lagrangian capacities of the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 218(2), pages 366-376.

    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. Tue R. L. Christensen & Kim Allan Andersen & Andreas Klose, 2013. "Solving the Single-Sink, Fixed-Charge, Multiple-Choice Transportation Problem by Dynamic Programming," Transportation Science, INFORMS, vol. 47(3), pages 428-438, August.
    2. Wilbaut, Christophe & Todosijevic, Raca & Hanafi, Saïd & Fréville, Arnaud, 2023. "Heuristic and exact reduction procedures to solve the discounted 0–1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 304(3), pages 901-911.
    3. Vijay Aggarwal & Narsingh Deo & Dilip Sarkar, 1992. "The knapsack problem with disjoint multiple‐choice constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 213-227, March.
    4. Endre Boros & Noam Goldberg & Paul Kantor & Jonathan Word, 2011. "Optimal sequential inspection policies," Annals of Operations Research, Springer, vol. 187(1), pages 89-119, July.
    5. Pisinger, David, 1995. "A minimal algorithm for the multiple-choice knapsack problem," European Journal of Operational Research, Elsevier, vol. 83(2), pages 394-410, June.
    6. Zhong, Tao & Young, Rhonda, 2010. "Multiple Choice Knapsack Problem: Example of planning choice in transportation," Evaluation and Program Planning, Elsevier, vol. 33(2), pages 128-137, May.
    7. Walter, Rico & Schulze, Philipp & Scholl, Armin, 2021. "SALSA: Combining branch-and-bound with dynamic programming to smoothen workloads in simple assembly line balancing," European Journal of Operational Research, Elsevier, vol. 295(3), pages 857-873.
    8. Drexl, Andreas & Haase, Knut, 1996. "Fast approximation methods for sales force deployment," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 411, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Mohammadivojdan, Roshanak & Geunes, Joseph, 2018. "The newsvendor problem with capacitated suppliers and quantity discounts," European Journal of Operational Research, Elsevier, vol. 271(1), pages 109-119.
    10. Degraeve, Z. & Jans, R.F., 2003. "Improved Lower Bounds For The Capacitated Lot Sizing Problem With Set Up Times," ERIM Report Series Research in Management ERS-2003-026-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    11. George Kozanidis, 2009. "Solving the linear multiple choice knapsack problem with two objectives: profit and equity," Computational Optimization and Applications, Springer, vol. 43(2), pages 261-294, June.
    12. Boysen, Nils & Fliedner, Malte, 2008. "A versatile algorithm for assembly line balancing," European Journal of Operational Research, Elsevier, vol. 184(1), pages 39-56, January.
    13. Melachrinoudis, Emanuel & Kozanidis, George, 2002. "A mixed integer knapsack model for allocating funds to highway safety improvements," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 789-803, November.
    14. Andris A. Zoltners & Prabhakant Sinha, 2005. "The 2004 ISMS Practice Prize Winner—Sales Territory Design: Thirty Years of Modeling and Implementation," Marketing Science, INFORMS, vol. 24(3), pages 313-331, September.
    15. Yuji Nakagawa & Ross J. W. James & César Rego & Chanaka Edirisinghe, 2014. "Entropy-Based Optimization of Nonlinear Separable Discrete Decision Models," Management Science, INFORMS, vol. 60(3), pages 695-707, March.
    16. Francis, Peter & Zhang, Guangming & Smilowitz, Karen, 2007. "Improved modeling and solution methods for the multi-resource routing problem," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1045-1059, August.
    17. Morton, Alec, 2014. "Aversion to health inequalities in healthcare prioritisation: A multicriteria optimisation perspective," Journal of Health Economics, Elsevier, vol. 36(C), pages 164-173.
    18. Michael Stiglmayr & José Figueira & Kathrin Klamroth, 2014. "On the multicriteria allocation problem," Annals of Operations Research, Springer, vol. 222(1), pages 535-549, November.
    19. Edward Y H Lin & Chung-Min Wu, 2004. "The multiple-choice multi-period knapsack problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(2), pages 187-197, February.
    20. Andonov, R. & Poirriez, V. & Rajopadhye, S., 2000. "Unbounded knapsack problem: Dynamic programming revisited," European Journal of Operational Research, Elsevier, vol. 123(2), pages 394-407, June.

    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:89:y:1996:i:3:p:609-617. 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.