IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v37y2019i3d10.1007_s10878-018-0331-5.html
   My bibliography  Save this article

An $$O(n(m+n\log n)\log n)$$O(n(m+nlogn)logn) time algorithm to solve the minimum cost tension problem

Author

Listed:
  • Mehdi Ghiyasvand

    (Bu-Ali Sina University)

Abstract

This paper presents an $$O(n(m+n\log n)\log n)$$O(n(m+nlogn)logn) time algorithm to solve the minimum cost tension problem, where n and m denote the number of nodes and number of arcs, respectively. The algorithm is inspired by Orlin (Oper Res 41:338–350, 1993) and improves upon the previous best strongly polynomial time of $$O(\max \{m^3n, m^2\log n(m+n\log n)\})$$O(max{m3n,m2logn(m+nlogn)}) due to Ghiyasvand (J Comb Optim 34:203–217, 2017).

Suggested Citation

  • Mehdi Ghiyasvand, 2019. "An $$O(n(m+n\log n)\log n)$$O(n(m+nlogn)logn) time algorithm to solve the minimum cost tension problem," Journal of Combinatorial Optimization, Springer, vol. 37(3), pages 957-969, April.
    • Handle: RePEc:spr:jcomop:v:37:y:2019:i:3:d:10.1007_s10878-018-0331-5
    DOI: 10.1007/s10878-018-0331-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-018-0331-5
    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/s10878-018-0331-5?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. Andrew V. Goldberg & Robert E. Tarjan, 1990. "Finding Minimum-Cost Circulations by Successive Approximation," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 430-466, August.
    2. Mehdi Ghiyasvand, 2017. "A faster strongly polynomial time algorithm to solve the minimum cost tension problem," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 203-217, July.
    3. James B. Orlin, 1993. "A Faster Strongly Polynomial Minimum Cost Flow Algorithm," Operations Research, INFORMS, vol. 41(2), pages 338-350, April.
    4. Ravindra K. Ahuja & Dorit S. Hochbaum & James B. Orlin, 2003. "Solving the Convex Cost Integer Dual Network Flow Problem," Management Science, INFORMS, vol. 49(7), pages 950-964, July.
    5. Bachelet, Bruno & Duhamel, Christophe, 2009. "Aggregation approach for the minimum binary cost tension problem," European Journal of Operational Research, Elsevier, vol. 197(2), pages 837-841, September.
    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. Mehdi Ghiyasvand, 2017. "A faster strongly polynomial time algorithm to solve the minimum cost tension problem," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 203-217, July.
    2. Carlo Mannino & Alessandro Mascis, 2009. "Optimal Real-Time Traffic Control in Metro Stations," Operations Research, INFORMS, vol. 57(4), pages 1026-1039, August.
    3. Nathan Atkinson & Scott C. Ganz & Dorit S. Hochbaum & James B. Orlin, 2023. "The Strong Maximum Circulation Algorithm: A New Method for Aggregating Preference Rankings," Papers 2307.15702, arXiv.org, revised Jan 2024.
    4. Durga Prasad Khanal & Urmila Pyakurel & Tanka Nath Dhamala & Stephan Dempe, 2022. "Efficient Algorithms for Abstract Flow with Partial Switching," SN Operations Research Forum, Springer, vol. 3(4), pages 1-17, December.
    5. Bürgy, Reinhard & Bülbül, Kerem, 2018. "The job shop scheduling problem with convex costs," European Journal of Operational Research, Elsevier, vol. 268(1), pages 82-100.
    6. Zhao Zhang & Zaixin Lu & Xianyue Li & Xiaohui Huang & Ding-Zhu Du, 2019. "Online hole healing for sensor coverage," Journal of Global Optimization, Springer, vol. 75(4), pages 1111-1131, December.
    7. Shoshana Anily, 1996. "The vehicle‐routing problem with delivery and back‐haul options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 415-434, April.
    8. László A. Végh, 2017. "A Strongly Polynomial Algorithm for Generalized Flow Maximization," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 179-211, January.
    9. Amirmahdi Tafreshian & Neda Masoud & Yafeng Yin, 2020. "Frontiers in Service Science: Ride Matching for Peer-to-Peer Ride Sharing: A Review and Future Directions," Service Science, INFORMS, vol. 12(2-3), pages 44-60, June.
    10. László A. Végh, 2014. "Concave Generalized Flows with Applications to Market Equilibria," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 573-596, May.
    11. Ravindra K. Ahuja & Dorit S. Hochbaum, 2008. "TECHNICAL NOTE---Solving Linear Cost Dynamic Lot-Sizing Problems in O ( n log n ) Time," Operations Research, INFORMS, vol. 56(1), pages 255-261, February.
    12. Sharma, Anuj & Verma, Vanita & Kaur, Prabhjot & Dahiya, Kalpana, 2015. "An iterative algorithm for two level hierarchical time minimization transportation problem," European Journal of Operational Research, Elsevier, vol. 246(3), pages 700-707.
    13. Marins, Fernando A. S. & Senne, Edson L. F. & Darby-Dowman, Ken & Machado, Arlene F. & Perin, Clovis, 1997. "Algorithms for network piecewise-linear programs: A comparative study," European Journal of Operational Research, Elsevier, vol. 97(1), pages 183-199, February.
    14. Lin, Yi-Kuei, 2006. "Evaluate the performance of a stochastic-flow network with cost attribute in terms of minimal cuts," Reliability Engineering and System Safety, Elsevier, vol. 91(5), pages 539-545.
    15. Zsolt T. Kosztyán & István Szalkai, 2020. "Multimode resource-constrained project scheduling in flexible projects," Journal of Global Optimization, Springer, vol. 76(1), pages 211-241, January.
    16. I.N. Kamal Abadi & Nicholas G. Hall & Chelliah Sriskandarajah, 2000. "Minimizing Cycle Time in a Blocking Flowshop," Operations Research, INFORMS, vol. 48(1), pages 177-180, February.
    17. Adrian Marius Deaconu & Luciana Majercsik, 2021. "Flow Increment through Network Expansion," Mathematics, MDPI, vol. 9(18), pages 1-9, September.
    18. Luce Brotcorne & Martine Labbé & Patrice Marcotte & Gilles Savard, 2000. "A Bilevel Model and Solution Algorithm for a Freight Tariff-Setting Problem," Transportation Science, INFORMS, vol. 34(3), pages 289-302, August.
    19. Ahmed Redha Mahlous, 2017. "SCMC: An Efficient Scheme for Minimizing Energy in WSNs Using a Set Cover Approach," Future Internet, MDPI, vol. 9(4), pages 1-18, December.
    20. David Wu & Viet Hung Nguyen & Michel Minoux & Hai Tran, 2022. "Optimal deterministic and robust selection of electricity contracts," Journal of Global Optimization, Springer, vol. 82(4), pages 993-1013, 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:spr:jcomop:v:37:y:2019:i:3:d:10.1007_s10878-018-0331-5. 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.