IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v144y2006i1p161-18010.1007-s10479-006-0004-0.html
   My bibliography  Save this article

Strategic design of distribution systems with economies of scale in transportation

Author

Listed:
  • Jenn-Rong Lin
  • Linda Nozick
  • Mark Turnquist

Abstract

We formulate and analyze a strategic design model for multi-product multi-echelon distribution systems where there are significant economies of scale in the transportation movements. The key design decisions considered are: the number and locations of distribution centers (DC's) in the system, the number and locations of consolidation centers (CC's), the inventory levels of the various products to be held at the distribution centers, and the routing of shipments (through a consolidation center or direct) between plants and distribution centers. A heuristic solution method is developed that can efficiently find near-optimal solutions. The quality of solutions to a series of test problems is evaluated---by comparison to exact solutions created by enumeration in small tests, and by comparison to lower bounds developed for larger test problems. In the problems for which exact solutions are available, the heuristic solution is within 1% of optimal. The computational procedure appears to hold substantial promise for effective solution of large distribution system design problems. Copyright Springer Science+Business Media, LLC 2006

Suggested Citation

  • Jenn-Rong Lin & Linda Nozick & Mark Turnquist, 2006. "Strategic design of distribution systems with economies of scale in transportation," Annals of Operations Research, Springer, vol. 144(1), pages 161-180, April.
    • Handle: RePEc:spr:annopr:v:144:y:2006:i:1:p:161-180:10.1007/s10479-006-0004-0
    DOI: 10.1007/s10479-006-0004-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-006-0004-0
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-006-0004-0?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. Nozick, Linda K. & Turnquist, Mark A., 2001. "A two-echelon inventory allocation and distribution center location analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(6), pages 425-441, December.
    2. Vidal, Carlos J. & Goetschalckx, Marc, 1997. "Strategic production-distribution models: A critical review with emphasis on global supply chain models," European Journal of Operational Research, Elsevier, vol. 98(1), pages 1-18, April.
    3. John W. Billheimer & Paul Gray, 1973. "Network Design with Fixed and Variable Cost Elements," Transportation Science, INFORMS, vol. 7(1), pages 49-74, February.
    4. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    5. CORNUEJOLS, Gérard & FISHER, Marshall L. & NEMHAUSER, George L., 1977. "Location of bank accounts to optimize float: An analytic study of exact and approximate algorithms," LIDAM Reprints CORE 292, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Nozick, Linda K. & Turnquist, Mark A., 1998. "Integrating inventory impacts into a fixed-charge model for locating distribution centers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 34(3), pages 173-186, September.
    7. Willard I. Zangwill, 1968. "Minimum Concave Cost Flows in Certain Networks," Management Science, INFORMS, vol. 14(7), pages 429-450, March.
    8. Nozick, L. K., 2001. "The fixed charge facility location problem with coverage restrictions," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(4), pages 281-296, August.
    9. Alfred A. Kuehn & Michael J. Hamburger, 1963. "A Heuristic Program for Locating Warehouses," Management Science, INFORMS, vol. 9(4), pages 643-666, July.
    10. Schilling, David A. & Revelle, Charles & Cohon, Jared & Elzinga, D. Jack, 1980. "Some models for fire protection locational decisions," European Journal of Operational Research, Elsevier, vol. 5(1), pages 1-7, July.
    11. Hall, Randolph W., 1987. "Direct versus terminal freight routing on a network with concave costs," Transportation Research Part B: Methodological, Elsevier, vol. 21(4), pages 287-298, August.
    12. Miranda, Pablo A. & Garrido, Rodrigo A., 2004. "Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 40(3), pages 183-207, May.
    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. Tönissen, D.D. & Arts, J.J., 2020. "The stochastic maintenance location routing allocation problem for rolling stock," International Journal of Production Economics, Elsevier, vol. 230(C).
    2. Alejandro Montoya & Mario C. Vélez–Gallego & Juan G. Villegas, 2016. "Multi-product capacitated facility location problem with general production and building costs," Netnomics, Springer, vol. 17(1), pages 47-70, July.
    3. Wu, Ting & Shen, Houcai & Zhu, Cheng, 2015. "A multi-period location model with transportation economies-of-scale and perishable inventory," International Journal of Production Economics, Elsevier, vol. 169(C), pages 343-349.
    4. Gregory M. Kellar & George G. Polak & Xinhui Zhang, 2016. "Synchronization, cross-docking, and decoupling in supply chain networks," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2585-2599, May.
    5. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    6. Walther, Grit & Schatka, Anne & Spengler, Thomas S., 2012. "Design of regional production networks for second generation synthetic bio-fuel – A case study in Northern Germany," European Journal of Operational Research, Elsevier, vol. 218(1), pages 280-292.
    7. Baumgartner, Kerstin & Fuetterer, André & Thonemann, Ulrich W., 2012. "Supply chain design considering economies of scale and transport frequencies," European Journal of Operational Research, Elsevier, vol. 218(3), pages 789-800.
    8. Wang, Julong & Liu, Zhixue & Li, Feng, 2024. "Integrated production and transportation scheduling problem under nonlinear cost structures," European Journal of Operational Research, Elsevier, vol. 313(3), pages 883-904.
    9. Mashor Housh & Ximing Cai, 2015. "Successive smoothing algorithm for solving large-scale optimization models with fixed cost," Annals of Operations Research, Springer, vol. 229(1), pages 475-500, June.
    10. Mohammed Alnahhal & Mosab I. Tabash & Diane Ahrens, 2021. "Optimal selection of third-party logistics providers using integer programming: a case study of a furniture company storage and distribution," Annals of Operations Research, Springer, vol. 302(1), pages 1-22, July.

    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. Pablo Miranda & Rodrigo Garrido, 2006. "A Simultaneous Inventory Control and Facility Location Model with Stochastic Capacity Constraints," Networks and Spatial Economics, Springer, vol. 6(1), pages 39-53, March.
    2. Roberto León & Pablo A. Miranda-Gonzalez & Francisco J. Tapia-Ubeda & Elias Olivares-Benitez, 2024. "An Inventory Service-Level Optimization Problem for a Multi-Warehouse Supply Chain Network with Stochastic Demands," Mathematics, MDPI, vol. 12(16), pages 1-20, August.
    3. Verter, Vedat & Dasci, Abdullah, 2002. "The plant location and flexible technology acquisition problem," European Journal of Operational Research, Elsevier, vol. 136(2), pages 366-382, January.
    4. Miranda, Pablo A. & Garrido, Rodrigo A., 2009. "Inventory service-level optimization within distribution network design problem," International Journal of Production Economics, Elsevier, vol. 122(1), pages 276-285, November.
    5. Darmawan, Agus & Wong, Hartanto & Thorstenson, Anders, 2021. "Supply chain network design with coordinated inventory control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    6. Candas, Mehmet Ferhat & Kutanoglu, Erhan, 2020. "Integrated location and inventory planning in service parts logistics with customer-based service levels," European Journal of Operational Research, Elsevier, vol. 285(1), pages 279-295.
    7. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    8. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2018. "Multi-level facility location problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 791-805.
    9. Klaus Büdenbender & Tore Grünert & Hans-Jürgen Sebastian, 2000. "A Hybrid Tabu Search/Branch-and-Bound Algorithm for the Direct Flight Network Design Problem," Transportation Science, INFORMS, vol. 34(4), pages 364-380, November.
    10. 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.
    11. Schuster Puga, Matías & Tancrez, Jean-Sébastien, 2017. "A heuristic algorithm for solving large location–inventory problems with demand uncertainty," European Journal of Operational Research, Elsevier, vol. 259(2), pages 413-423.
    12. Burcu B. Keskin & Halit Üster, 2012. "Production/distribution system design with inventory considerations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(2), pages 172-195, March.
    13. Aaron Guerrero Campanur & Elias Olivares-Benitez & Pablo A. Miranda & Rodolfo Eleazar Perez-Loaiza & Jose Humberto Ablanedo-Rosas, 2018. "Design of a Logistics Nonlinear System for a Complex, Multiechelon, Supply Chain Network with Uncertain Demands," Complexity, Hindawi, vol. 2018, pages 1-16, November.
    14. Wu, Dexiang & Wu, Desheng Dash, 2020. "A decision support approach for two-stage multi-objective index tracking using improved lagrangian decomposition," Omega, Elsevier, vol. 91(C).
    15. Giulio Cantarella & Antonino Vitetta, 2006. "The multi-criteria road network design problem in an urban area," Transportation, Springer, vol. 33(6), pages 567-588, November.
    16. Camilo Ortiz-Astorquiza & Ivan Contreras & Gilbert Laporte, 2019. "An Exact Algorithm for Multilevel Uncapacitated Facility Location," Transportation Science, INFORMS, vol. 53(4), pages 1085-1106, July.
    17. Michael Brusco & Douglas Steinley, 2015. "Affinity Propagation and Uncapacitated Facility Location Problems," Journal of Classification, Springer;The Classification Society, vol. 32(3), pages 443-480, October.
    18. Sharma, R.R.K. & Berry, V., 2007. "Developing new formulations and relaxations of single stage capacitated warehouse location problem (SSCWLP): Empirical investigation for assessing relative strengths and computational effort," European Journal of Operational Research, Elsevier, vol. 177(2), pages 803-812, March.
    19. Hsu, Chaug-Ing & Li, Hui-Chieh, 2009. "An integrated plant capacity and production planning model for high-tech manufacturing firms with economies of scale," International Journal of Production Economics, Elsevier, vol. 118(2), pages 486-500, April.
    20. Tolga H. Seyhan & Lawrence V. Snyder & Ying Zhang, 2018. "A New Heuristic Formulation for a Competitive Maximal Covering Location Problem," Transportation Science, INFORMS, vol. 52(5), pages 1156-1173, 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:annopr:v:144:y:2006:i:1:p:161-180:10.1007/s10479-006-0004-0. 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.