IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v35y2007i1p116-127.html
   My bibliography  Save this article

More-for-less algorithm for fixed-charge transportation problems

Author

Listed:
  • Adlakha, Veena
  • Kowalski, Krzysztof
  • Vemuganti, R.R.
  • Lev, Benjamin

Abstract

The more-for-less (MFL) phenomenon in distribution problems occurs when it is possible to ship more total goods for less (or equal) total cost, while shipping the same quantity or more from each origin and to each destination. This paradox occurs often in fixed-charge transportation problems (FCTPs), and further analysis could bring significant reduction in costs. The MFL phenomenon for FCTPs has received minimal attention in the literature despite the fact that existing analytical algorithms, such as branch and bound, are limited to small problems due to excessive computational effort. In this paper, we develop a simple heuristic algorithm to identify the demand destinations and the supply points to ship MFL in FCTPs. The proposed method builds upon any existing basic feasible solution. It is easy to implement and can serve as an effective tool for managers for solving the more-for-less paradox for large distribution problems.

Suggested Citation

  • Adlakha, Veena & Kowalski, Krzysztof & Vemuganti, R.R. & Lev, Benjamin, 2007. "More-for-less algorithm for fixed-charge transportation problems," Omega, Elsevier, vol. 35(1), pages 116-127, February.
    • Handle: RePEc:eee:jomega:v:35:y:2007:i:1:p:116-127
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(06)00027-2
    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. Adlakha, Veena & Kowalski, Krzysztof, 1999. "On the fixed-charge transportation problem," Omega, Elsevier, vol. 27(3), pages 381-388, June.
    2. Adlakha, Veena & Kowalski, Krzysztof, 2000. "A note on the procedure MFL for a more-for-less solution in transportation problems," Omega, Elsevier, vol. 28(4), pages 481-483, August.
    3. Charnes, A. & Duffuaa, S. & Ryan, M., 1987. "The more-for-less paradox in linear programming," European Journal of Operational Research, Elsevier, vol. 31(2), pages 194-197, August.
    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. Adlakha, Veena & Kowalski, Krzysztof & Wang, Simi & Lev, Benjamin & Shen, Wenjing, 2014. "On approximation of the fixed charge transportation problem," Omega, Elsevier, vol. 43(C), pages 64-70.
    2. Arsham, Hossein & Adlakha, Veena & Lev, Benjamin, 2009. "A simplified algebraic method for system of linear inequalities with LP applications," Omega, Elsevier, vol. 37(4), pages 876-882, August.
    3. Hong, Jiangtao & Diabat, Ali & Panicker, Vinay V. & Rajagopalan, Sridharan, 2018. "A two-stage supply chain problem with fixed costs: An ant colony optimization approach," International Journal of Production Economics, Elsevier, vol. 204(C), pages 214-226.
    4. A. N. Balaji & J. Mukund Nilakantan & Izabela Nielsen & N. Jawahar & S. G. Ponnambalam, 2019. "Solving fixed charge transportation problem with truck load constraint using metaheuristics," Annals of Operations Research, Springer, vol. 273(1), pages 207-236, February.
    5. Kowalski, Krzysztof & Lev, Benjamin, 2008. "On step fixed-charge transportation problem," Omega, Elsevier, vol. 36(5), pages 913-917, October.
    6. Jeffery L. Kennington & Charles D. Nicholson, 2010. "The Uncapacitated Time-Space Fixed-Charge Network Flow Problem: An Empirical Investigation of Procedures for Arc Capacity Assignment," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 326-337, May.
    7. Adlakha, Veena & Kowalski, Krzysztof & Lev, Benjamin, 2010. "A branching method for the fixed charge transportation problem," Omega, Elsevier, vol. 38(5), pages 393-397, October.
    8. Ma, Hong & Miao, Zhaowei & Lim, Andrew & Rodrigues, Brian, 2011. "Crossdocking distribution networks with setup cost and time window constraint," Omega, Elsevier, vol. 39(1), pages 64-72, January.
    9. Balakrishnan, Jaydeep & Hung Cheng, Chun, 2009. "The dynamic plant layout problem: Incorporating rolling horizons and forecast uncertainty," Omega, Elsevier, vol. 37(1), pages 165-177, February.
    10. Jawahar, N. & Balaji, A.N., 2009. "A genetic algorithm for the two-stage supply chain distribution problem associated with a fixed charge," European Journal of Operational Research, Elsevier, vol. 194(2), pages 496-537, April.
    11. Dalalah, Doraid & Lev, Benjamin, 2009. "Duality of the improved algebraic method (DIAM)," Omega, Elsevier, vol. 37(5), pages 1027-1035, October.
    12. Zhang, Jiayuan & Yalcin, Mehmet G. & Hales, Douglas N., 2021. "Elements of paradoxes in supply chain management literature: A systematic literature review," International Journal of Production Economics, Elsevier, vol. 232(C).

    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. Kowalski, Krzysztof & Lev, Benjamin, 2008. "On step fixed-charge transportation problem," Omega, Elsevier, vol. 36(5), pages 913-917, October.
    2. Adlakha, Veena & Kowalski, Krzysztof, 1998. "A quick sufficient solution to the More-for-Less paradox in the transportation problem," Omega, Elsevier, vol. 26(4), pages 541-547, August.
    3. Jawahar, N. & Balaji, A.N., 2009. "A genetic algorithm for the two-stage supply chain distribution problem associated with a fixed charge," European Journal of Operational Research, Elsevier, vol. 194(2), pages 496-537, April.
    4. V Adlakha & K Kowalski, 2004. "A simple algorithm for the source-induced fixed-charge transportation problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1275-1280, December.
    5. Hong, Jiangtao & Diabat, Ali & Panicker, Vinay V. & Rajagopalan, Sridharan, 2018. "A two-stage supply chain problem with fixed costs: An ant colony optimization approach," International Journal of Production Economics, Elsevier, vol. 204(C), pages 214-226.
    6. Adlakha, Veena & Kowalski, Krzysztof, 2003. "A simple heuristic for solving small fixed-charge transportation problems," Omega, Elsevier, vol. 31(3), pages 205-211, June.
    7. Adlakha, Veena & Kowalski, Krzysztof & Wang, Simi & Lev, Benjamin & Shen, Wenjing, 2014. "On approximation of the fixed charge transportation problem," Omega, Elsevier, vol. 43(C), pages 64-70.
    8. Ryan, Michael J., 2000. "The distribution problem, the more for less (nothing) paradox and economies of scale and scope," European Journal of Operational Research, Elsevier, vol. 121(1), pages 92-104, February.
    9. Ryan, Michael J., 2004. "Goal programming, regulation and generalised economies of scale and scope," European Journal of Operational Research, Elsevier, vol. 152(1), pages 56-71, January.
    10. Adlakha, Veena & Kowalski, Krzysztof, 1999. "On the fixed-charge transportation problem," Omega, Elsevier, vol. 27(3), pages 381-388, June.
    11. Hüseyin Güden & Haldun Süral, 2017. "A polynomial algorithm for the earthwork allocation problem with borrow and waste site selection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1085-1093, September.
    12. Zhang, Jiayuan & Yalcin, Mehmet G. & Hales, Douglas N., 2021. "Elements of paradoxes in supply chain management literature: A systematic literature review," International Journal of Production Economics, Elsevier, vol. 232(C).

    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:jomega:v:35:y:2007:i:1:p:116-127. 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/wps/find/journaldescription.cws_home/375/description#description .

    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.