IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v31y2022i4d10.1007_s10726-022-09781-2.html
   My bibliography  Save this article

An Abortion Based Search Method for Optimal Coalition Structure Generation

Author

Listed:
  • Changder Narayan

    (National Institute of Technology Durgapur)

  • Aknine Samir

    (Lyon 1 University)

  • Dutta Animesh

    (National Institute of Technology Durgapur)

Abstract

The Coalition Structure Generation (CSG) problem is a partitioning of a set of agents into exhaustive and disjoint subsets to maximize social welfare. This NP-complete problem arises in many practical scenarios. Prominent examples are included in the field of transportation, e-Commerce, distributed sensor networks, and others. The fastest exact algorithm to solve the CSG problem is ODP-IP, which is a hybrid version of two previously established algorithms, namely Improved Dynamic Programming (IDP) and IP. In this paper, we show that the ODP-IP algorithm performs many redundant operations. To improve ODP-IP, we propose a faster abortion mechanism to speed up IP’s search. Our abortion mechanism decides at runtime which of the IP’s operations are redundant to skip them. Then, we propose a modified version of IDP (named MIDP) and an improved version of IP (named IIP). Based on these two improved algorithms, we develop a hybrid version (MIDP-IIP) to solve the CSG problem. After a detailed description of the new algorithm MIDP-IIP, an experimental comparison is conducted against ODP-IP. Our analysis shows that MIDP-IIP performs fewer operations than ODP-IP. In addition, MIDP-IIP reduced significantly many problem instances running times (11–37%).

Suggested Citation

  • Changder Narayan & Aknine Samir & Dutta Animesh, 2022. "An Abortion Based Search Method for Optimal Coalition Structure Generation," Group Decision and Negotiation, Springer, vol. 31(4), pages 747-768, August.
    • Handle: RePEc:spr:grdene:v:31:y:2022:i:4:d:10.1007_s10726-022-09781-2
    DOI: 10.1007/s10726-022-09781-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-022-09781-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10726-022-09781-2?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. Michael H. Rothkopf & Aleksandar Pekev{c} & Ronald M. Harstad, 1998. "Computationally Manageable Combinational Auctions," Management Science, INFORMS, vol. 44(8), pages 1131-1147, August.
    Full references (including those not matched with items on IDEAS)

    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. Mishra, Debasis & Parkes, David C., 2007. "Ascending price Vickrey auctions for general valuations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 335-366, January.
    2. Anthony M. Kwasnica & John O. Ledyard & Dave Porter & Christine DeMartini, 2005. "A New and Improved Design for Multiobject Iterative Auctions," Management Science, INFORMS, vol. 51(3), pages 419-434, March.
    3. Bourbeau, Benoit & Gabriel Crainic, Teodor & Gendreau, Michel & Robert, Jacques, 2005. "Design for optimized multi-lateral multi-commodity markets," European Journal of Operational Research, Elsevier, vol. 163(2), pages 503-529, June.
    4. Lawrence M. Ausubel & Peter Cramton & R. Preston McAfee & John McMillan, 1997. "Synergies in Wireless Telephony: Evidence from the Broadband PCS Auctions," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(3), pages 497-527, September.
    5. Peter Cramton, 2002. "Spectrum Auctions," Papers of Peter Cramton 01hte, University of Maryland, Department of Economics - Peter Cramton, revised 16 Jul 2001.
    6. Oktay Günlük & Lászlo Ladányi & Sven de Vries, 2005. "A Branch-and-Price Algorithm and New Test Problems for Spectrum Auctions," Management Science, INFORMS, vol. 51(3), pages 391-406, March.
    7. Pinar Keskinocak & Shidhar Tayur, 2001. "Quantitative Analysis for Internet-Enabled Supply Chains," Interfaces, INFORMS, vol. 31(2), pages 70-89, April.
    8. Zhiling Guo & Gary J. Koehler & Andrew B. Whinston, 2012. "A Computational Analysis of Bundle Trading Markets Design for Distributed Resource Allocation," Information Systems Research, INFORMS, vol. 23(3-part-1), pages 823-843, September.
    9. repec:dau:papers:123456789/5665 is not listed on IDEAS
    10. Ervasti, Valtteri & Leskelä, Riikka-Leena, 2010. "Allocative efficiency in simulated multiple-unit combinatorial auctions with quantity support," European Journal of Operational Research, Elsevier, vol. 203(1), pages 251-260, May.
    11. Richard Li-Yang Chen & Shervin AhmadBeygi & Amy Cohn & Damian R. Beil & Amitabh Sinha, 2009. "Solving Truckload Procurement Auctions Over an Exponential Number of Bundles," Transportation Science, INFORMS, vol. 43(4), pages 493-510, November.
    12. Song, Jiongjiong & Regan, Amelia, 2005. "Approximation algorithms for the bid construction problem in combinatorial auctions for the procurement of freight transportation contracts," Transportation Research Part B: Methodological, Elsevier, vol. 39(10), pages 914-933, December.
    13. Jing Yu & Lining Xing & Xu Tan, 0. "The new treatment mode research of hepatitis B based on ant colony algorithm," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-20.
    14. Park, Sunju & Rothkopf, Michael H., 2005. "Auctions with bidder-determined allowable combinations," European Journal of Operational Research, Elsevier, vol. 161(2), pages 399-415, March.
    15. Tuomas Sandholm & Anton Likhodedov, 2015. "Automated Design of Revenue-Maximizing Combinatorial Auctions," Operations Research, INFORMS, vol. 63(5), pages 1000-1025, October.
    16. Nilsson, Jan-Eric, 2012. "Congestion and scarcity in scheduled transport modes," Working papers in Transport Economics 2012:25, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    17. William E. Walsh & Michael P. Wellman, 1999. "Efficiency and Equilibrium in Task Allocation Economics with Hierarchical Dependencies," Working Papers 99-07-049, Santa Fe Institute.
    18. Albert Banal-Estañol & Augusto Rupérez-Micola, 2010. "Are agent-based simulations robust? The wholesale electricity trading case," Economics Working Papers 1214, Department of Economics and Business, Universitat Pompeu Fabra.
    19. Babaioff, Moshe & Blumrosen, Liad, 2008. "Computationally-feasible truthful auctions for convex bundles," Games and Economic Behavior, Elsevier, vol. 63(2), pages 588-620, July.
    20. Munro, David R. & Rassenti, Stephen J., 2019. "Combinatorial clock auctions: Price direction and performance," Games and Economic Behavior, Elsevier, vol. 117(C), pages 195-217.
    21. Ronald M. Harstad & Aleksandar Saša Pekeč, 2008. "Relevance to Practice and Auction Theory: A Memorial Essay for Michael Rothkopf," Interfaces, INFORMS, vol. 38(5), pages 367-380, October.

    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:spr:grdene:v:31:y:2022:i:4:d:10.1007_s10726-022-09781-2. 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.springer.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.