IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v58y2007i1d10.1057_palgrave.jors.2602102.html
   My bibliography  Save this article

Partial enumeration in heuristics for some combinatorial optimization problems

Author

Listed:
  • A Volgenant

    (University of Amsterdam)

  • I Y Zwiers

    (University of Amsterdam)

Abstract

We consider partial enumeration as a routine to improve heuristics in practice. For the multidimensional 0–1 knapsack problem and the single-machine weighted tardiness problem, known heuristics have been extended with partial enumeration. Various variants have been compared. The results show improvements in the obtained solutions at a modest extra effort in implementation and computing time.

Suggested Citation

  • A Volgenant & I Y Zwiers, 2007. "Partial enumeration in heuristics for some combinatorial optimization problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 73-79, January.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602102
    DOI: 10.1057/palgrave.jors.2602102
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/palgrave.jors.2602102
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1057/palgrave.jors.2602102?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. Magazine, M. J. & Oguz, Osman, 1984. "A heuristic algorithm for the multidimensional zero-one knapsack problem," European Journal of Operational Research, Elsevier, vol. 16(3), pages 319-326, June.
    2. Richard Loulou & Eleftherios Michaelides, 1979. "New Greedy-Like Heuristics for the Multidimensional 0-1 Knapsack Problem," Operations Research, INFORMS, vol. 27(6), pages 1101-1114, December.
    3. Chris N. Potts & Luk N. Van Wassenhove, 1985. "A Branch and Bound Algorithm for the Total Weighted Tardiness Problem," Operations Research, INFORMS, vol. 33(2), pages 363-377, April.
    4. O Holthaus & C Rajendran, 2005. "A fast ant-colony algorithm for single-machine scheduling to minimize the sum of weighted tardiness of jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(8), pages 947-953, August.
    5. Vasquez, Michel & Vimont, Yannick, 2005. "Improved results on the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 165(1), pages 70-81, August.
    6. E. Mokotoff & J.L. Jimeno, 2002. "Heuristics Based on Partial Enumeration for the Unrelated Parallel Processor Scheduling Problem," Annals of Operations Research, Springer, vol. 117(1), pages 133-150, November.
    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. Ivan Derpich & Carlos Herrera & Felipe Sepúlveda & Hugo Ubilla, 2021. "Complexity indices for the multidimensional knapsack problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 29(2), pages 589-609, June.
    2. Wilbaut, Christophe & Salhi, Saïd & Hanafi, Saïd, 2009. "An iterative variable-based fixation heuristic for the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 199(2), pages 339-348, December.

    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. Yalçın Akçay & Haijun Li & Susan Xu, 2007. "Greedy algorithm for the general multidimensional knapsack problem," Annals of Operations Research, Springer, vol. 150(1), pages 17-29, March.
    2. Freville, Arnaud, 2004. "The multidimensional 0-1 knapsack problem: An overview," European Journal of Operational Research, Elsevier, vol. 155(1), pages 1-21, May.
    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.
    4. Wu, Jigang & Srikanthan, Thambipillai & Yan, Chengbin, 2008. "Algorithmic aspects for power-efficient hardware/software partitioning," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(4), pages 1204-1215.
    5. Yalçin Akçay & Susan H. Xu, 2004. "Joint Inventory Replenishment and Component Allocation Optimization in an Assemble-to-Order System," Management Science, INFORMS, vol. 50(1), pages 99-116, January.
    6. Og[breve]uz, Ceyda & Sibel Salman, F. & Bilgintürk YalçIn, Zehra, 2010. "Order acceptance and scheduling decisions in make-to-order systems," International Journal of Production Economics, Elsevier, vol. 125(1), pages 200-211, May.
    7. Renata Mansini & M. Grazia Speranza, 2012. "CORAL: An Exact Algorithm for the Multidimensional Knapsack Problem," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 399-415, August.
    8. Yagiura, Mutsunori & Ibaraki, Toshihide, 1996. "The use of dynamic programming in genetic algorithms for permutation problems," European Journal of Operational Research, Elsevier, vol. 92(2), pages 387-401, July.
    9. Wang, Xiuli & Xie, Xingzi & Cheng, T.C.E., 2013. "Order acceptance and scheduling in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 141(1), pages 366-376.
    10. Borgonjon, Tessa & Maenhout, Broos, 2022. "An exact approach for the personnel task rescheduling problem with task retiming," European Journal of Operational Research, Elsevier, vol. 296(2), pages 465-484.
    11. 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.
    12. Jakob Puchinger & Günther R. Raidl & Ulrich Pferschy, 2010. "The Multidimensional Knapsack Problem: Structure and Algorithms," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 250-265, May.
    13. Valente, Jorge M.S., 2007. "Improving the performance of the ATC dispatch rule by using workload data to determine the lookahead parameter value," International Journal of Production Economics, Elsevier, vol. 106(2), pages 563-573, April.
    14. J M S Valente & R A F S Alves, 2005. "Improved lower bounds for the early/tardy scheduling problem with no idle time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 604-612, May.
    15. Yannick Vimont & Sylvain Boussier & Michel Vasquez, 2008. "Reduced costs propagation in an efficient implicit enumeration for the 01 multidimensional knapsack problem," Journal of Combinatorial Optimization, Springer, vol. 15(2), pages 165-178, February.
    16. Bilge, Umit & Kurtulan, Mujde & Kirac, Furkan, 2007. "A tabu search algorithm for the single machine total weighted tardiness problem," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1423-1435, February.
    17. Chengbin Chu, 1992. "A branch‐and‐bound algorithm to minimize total tardiness with different release dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(2), pages 265-283, March.
    18. Zhi Pei & Mingzhong Wan & Ziteng Wang, 2020. "A new approximation algorithm for unrelated parallel machine scheduling with release dates," Annals of Operations Research, Springer, vol. 285(1), pages 397-425, February.
    19. Hanane Krim & Nicolas Zufferey & Jean-Yves Potvin & Rachid Benmansour & David Duvivier, 2022. "Tabu search for a parallel-machine scheduling problem with periodic maintenance, job rejection and weighted sum of completion times," Journal of Scheduling, Springer, vol. 25(1), pages 89-105, February.
    20. Mohamed Habib Zahmani & Baghdad Atmani, 2021. "Multiple dispatching rules allocation in real time using data mining, genetic algorithms, and simulation," Journal of Scheduling, Springer, vol. 24(2), pages 175-196, April.

    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:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602102. 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.palgrave-journals.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.