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Fleet Sizing under Production Cycles and Uncertain Travel Times

Author

Listed:
  • Mark A. Turnquist

    (Cornell University, Ithaca, New York 14853)

  • William C. Jordan

    (General Motors Research Laboratories, Warren, Michigan 48090)

Abstract

This paper develops a model for sizing a fleet of containers used to ship parts from a single manufacturing plant to a group of assembly plants. Parts are produced in a deterministic production cycle, but container travel times are stochastic. Based on results for an infinite-channel service process, equations are developed relating fleet size to the probability of a container shortage. An example illustrates this fleet size-shortage probability trade-off and shows the impact of uncertainty level and the number of plants on fleet size.

Suggested Citation

  • Mark A. Turnquist & William C. Jordan, 1986. "Fleet Sizing under Production Cycles and Uncertain Travel Times," Transportation Science, INFORMS, vol. 20(4), pages 227-236, November.
    • Handle: RePEc:inm:ortrsc:v:20:y:1986:i:4:p:227-236
    DOI: 10.1287/trsc.20.4.227
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    Citations

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    Cited by:

    1. Hamid Sayarshad & Nikbakhsh Javadian & Reza Tavakkoli-Moghaddam & Nastaran Forghani, 2010. "Solving multi-objective optimization formulation for fleet planning in a railway industry," Annals of Operations Research, Springer, vol. 181(1), pages 185-197, December.
    2. Bojovic, Nebojsa J., 2002. "A general system theory approach to rail freight car fleet sizing," European Journal of Operational Research, Elsevier, vol. 136(1), pages 136-172, January.
    3. Hanif D. Sherali & Lawrence W. Maguire, 2000. "Determining Rail Fleet Sizes for Shipping Automobiles," Interfaces, INFORMS, vol. 30(6), pages 80-90, December.
    4. Wu, Peiling & Hartman, Joseph C. & Wilson, George R., 2003. "A demand-shifting feasibility algorithm for Benders decomposition," European Journal of Operational Research, Elsevier, vol. 148(3), pages 570-583, August.
    5. Volker Trauzettel, 2015. "A Case Study On Optimizing Parts Supply In Manufacturing By Reusable Containers," Business Logistics in Modern Management, Josip Juraj Strossmayer University of Osijek, Faculty of Economics, Croatia, vol. 15, pages 161-174.
    6. José Carbajal & Alan Erera & Martin Savelsbergh, 2013. "Balancing fleet size and repositioning costs in LTL trucking," Annals of Operations Research, Springer, vol. 203(1), pages 235-254, March.
    7. Vanga, Ratnaji & Venkateswaran, Jayendran, 2020. "Fleet sizing of reusable articles under uncertain demand and turnaround times," European Journal of Operational Research, Elsevier, vol. 285(2), pages 566-582.
    8. Milenković, Miloš S. & Bojović, Nebojša J. & Švadlenka, Libor & Melichar, Vlastimil, 2015. "A stochastic model predictive control to heterogeneous rail freight car fleet sizing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 82(C), pages 162-198.
    9. Felix Papier & Ulrich W. Thonemann, 2008. "Queuing Models for Sizing and Structuring Rental Fleets," Transportation Science, INFORMS, vol. 42(3), pages 302-317, August.

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