IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v15y1968i3p413-424.html
   My bibliography  Save this article

The fixed charge problem

Author

Listed:
  • Warren M. Hirsch
  • George B. Dantzig

Abstract

A fundamental unsolved problem in the programming area is one in which various activities have fixed charges (e.g., set‐up time charges) if operating at a positive level. Properties of a general solution to this type problem are discussed in this paper. Under special circumstances it is shown that a fixed charge problem can be reduced to an ordinary linear programming problem.

Suggested Citation

  • Warren M. Hirsch & George B. Dantzig, 1968. "The fixed charge problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 15(3), pages 413-424, September.
    • Handle: RePEc:wly:navlog:v:15:y:1968:i:3:p:413-424
    DOI: 10.1002/nav.3800150306
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800150306
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800150306?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lara, Cristiana L. & Koenemann, Jochen & Nie, Yisu & de Souza, Cid C., 2023. "Scalable timing-aware network design via lagrangian decomposition," European Journal of Operational Research, Elsevier, vol. 309(1), pages 152-169.
    2. Alex Scott & Chris Parker & Christopher W. Craighead, 2017. "Service Refusals in Supply Chains: Drivers and Deterrents of Freight Rejection," Transportation Science, INFORMS, vol. 51(4), pages 1086-1101, November.
    3. Alexey Sorokin & Vladimir Boginski & Artyom Nahapetyan & Panos M. Pardalos, 2013. "Computational risk management techniques for fixed charge network flow problems with uncertain arc failures," Journal of Combinatorial Optimization, Springer, vol. 25(1), pages 99-122, January.
    4. Zhu, Kai & Ji, Kaiyuan & Shen, Jiayu, 2021. "A fixed charge transportation problem with damageable items under uncertain environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    5. Aristide Mingozzi & Roberto Roberti, 2018. "An Exact Algorithm for the Fixed Charge Transportation Problem Based on Matching Source and Sink Patterns," Transportation Science, INFORMS, vol. 52(2), pages 229-238, March.
    6. Amy B. Gore & Mary E. Kurz & Matthew J. Saltzman & Blake Splitter & William C. Bridges & Neil J. Calkin, 2022. "Clemson University’s Rotational Attendance Plan During COVID-19," Interfaces, INFORMS, vol. 52(6), pages 553-567, November.
    7. Sharmistha Halder Jana & Biswapati Jana & Barun Das & Goutam Panigrahi & Manoranjan Maiti, 2019. "Constrained FC 4D MITPs for Damageable Substitutable and Complementary Items in Rough Environments," Mathematics, MDPI, vol. 7(3), pages 1-26, March.
    8. Shyamali Ghosh & Karl-Heinz Küfer & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2023. "Type-2 zigzag uncertain multi-objective fixed-charge solid transportation problem: time window vs. preservation technology," 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. 31(1), pages 337-362, March.
    9. Mojtaba Akbari & Saber Molla-Alizadeh-Zavardehi & Sadegh Niroomand, 2020. "Meta-heuristic approaches for fixed-charge solid transportation problem in two-stage supply chain network," Operational Research, Springer, vol. 20(1), pages 447-471, March.
    10. Jesús Sáez Aguado, 2009. "Fixed Charge Transportation Problems: a new heuristic approach based on Lagrangean relaxation and the solving of core problems," Annals of Operations Research, Springer, vol. 172(1), pages 45-69, November.
    11. Ling Gai & Ying Jin & Binyuan Zhang, 2022. "An integrated method for hybrid distribution with estimation of demand matching degree," Journal of Combinatorial Optimization, Springer, vol. 44(4), pages 2782-2808, November.
    12. Gurwinder Singh & Amarinder Singh, 2021. "Solving fixed-charge transportation problem using a modified particle swarm optimization algorithm," 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. 12(6), pages 1073-1086, December.
    13. Sagratella, Simone & Schmidt, Marcel & Sudermann-Merx, Nathan, 2020. "The noncooperative fixed charge transportation problem," European Journal of Operational Research, Elsevier, vol. 284(1), pages 373-382.
    14. Gaudioso, Manlio & Monaco, Maria Flavia & Sammarra, Marcello, 2021. "A Lagrangian heuristics for the truck scheduling problem in multi-door, multi-product Cross-Docking with constant processing time," Omega, Elsevier, vol. 101(C).

    More about this item

    Statistics

    Access and download statistics

    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:wly:navlog:v:15:y:1968:i:3:p:413-424. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1931-9193 .

    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.