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Strategic design of distribution systems with economies of scale in transportation

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  • 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
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    References listed on IDEAS

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    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. 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).
    3. 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.
    4. Willard I. Zangwill, 1968. "Minimum Concave Cost Flows in Certain Networks," Management Science, INFORMS, vol. 14(7), pages 429-450, March.
    5. 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.
    6. 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.
    7. 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.
    8. John W. Billheimer & Paul Gray, 1973. "Network Design with Fixed and Variable Cost Elements," Transportation Science, INFORMS, vol. 7(1), pages 49-74, February.
    9. 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.
    10. Alfred A. Kuehn & Michael J. Hamburger, 1963. "A Heuristic Program for Locating Warehouses," Management Science, INFORMS, vol. 9(4), pages 643-666, July.
    11. 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.
    12. 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.
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    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.
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