IDEAS home Printed from https://ideas.repec.org/a/spr/opsear/v54y2017i3d10.1007_s12597-016-0288-z.html
   My bibliography  Save this article

More for less method to minimize the unit transportation cost of a capacitated transportation problem with bounds on rim conditions

Author

Listed:
  • Kavita Gupta

    (University of Delhi)

  • Ritu Arora

    (University of Delhi)

Abstract

In this paper, an algorithm is developed which determines the minimum per unit transportation cost in a capacitated transportation problem with bounds on rim conditions. At first level, a related transportation problem is formulated to find the minimum cost of transporting goods from different sources to different destinations in a capacitated transportation problem. Then, a unit transportation cost problem subjected to same set of constraints is constructed. Then the optimal solution to this new problem is found which provides a transportation schedule such that its unit shipping cost is less and total number of items shipped is more than the optimal solution of the initial capacitated transportation problem. A real life market situation is considered to illustrate the proposed algorithm.

Suggested Citation

  • Kavita Gupta & Ritu Arora, 2017. "More for less method to minimize the unit transportation cost of a capacitated transportation problem with bounds on rim conditions," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 460-474, September.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:3:d:10.1007_s12597-016-0288-z
    DOI: 10.1007/s12597-016-0288-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12597-016-0288-z
    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/s12597-016-0288-z?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. Dahiya, Kalpana & Verma, Vanita, 2007. "Capacitated transportation problem with bounds on RIM conditions," European Journal of Operational Research, Elsevier, vol. 178(3), pages 718-737, May.
    2. WOLSEY, Laurence A., 1989. "Submodularity and valid inequalities in capacitated fixed charge networks," LIDAM Reprints CORE 842, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Vikas Sharma & Kalpana Dahiya & Vanita Verma, 2010. "Capacitated Two-Stage Time Minimization Transportation Problem," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 27(04), pages 457-476.
    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. Kavita Gupta & Ritu Arora, 2018. "Solving the problem of industry by formulating it as a fractional capacitated transportation problem with bounds on rim conditions," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(2), pages 509-516, April.
    2. Md. Ashraful Babu & M. A. Hoque & Md. Sharif Uddin, 2020. "A heuristic for obtaining better initial feasible solution to the transportation problem," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 221-245, March.

    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. Prabhjot Kaur & Anuj Sharma & Vanita Verma & Kalpana Dahiya, 2022. "An alternate approach to solve two-level hierarchical time minimization transportation problem," 4OR, Springer, vol. 20(1), pages 23-61, March.
    2. Fanrong Xie & Zuoan Li, 2022. "An iterative solution technique for capacitated two-stage time minimization transportation problem," 4OR, Springer, vol. 20(4), pages 637-684, December.
    3. Fred Glover & Hanif Sherali, 2005. "Some Classes of Valid Inequalities and Convex Hull Characterizations for Dynamic Fixed-Charge Problems under Nested Constraints," Annals of Operations Research, Springer, vol. 140(1), pages 215-233, November.
    4. Kavita Gupta & Ritu Arora, 2018. "Solving the problem of industry by formulating it as a fractional capacitated transportation problem with bounds on rim conditions," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 9(2), pages 509-516, April.
    5. Singh, Gurwinder & Singh, Amarinder, 2023. "Extension of Particle Swarm Optimization algorithm for solving two-level time minimization transportation problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 727-742.
    6. Xie, Fanrong & Butt, Muhammad Munir & Li, Zuoan & Zhu, Linzhi, 2017. "An upper bound on the minimal total cost of the transportation problem with varying demands and supplies," Omega, Elsevier, vol. 68(C), pages 105-118.
    7. Quentin Louveaux & Laurence Wolsey, 2007. "Lifting, superadditivity, mixed integer rounding and single node flow sets revisited," Annals of Operations Research, Springer, vol. 153(1), pages 47-77, September.
    8. 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.
    9. Khurana, Archana & Adlakha, Veena & Lev, Benjamin, 2018. "Multi-index constrained transportation problem with bounds on availabilities, requirements and commodities," Operations Research Perspectives, Elsevier, vol. 5(C), pages 319-333.
    10. Alper Atamtürk & Simge Küçükyavuz, 2005. "Lot Sizing with Inventory Bounds and Fixed Costs: Polyhedral Study and Computation," Operations Research, INFORMS, vol. 53(4), pages 711-730, August.

    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:opsear:v:54:y:2017:i:3:d:10.1007_s12597-016-0288-z. 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.