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Fleet sizing of reusable articles under uncertain demand and turnaround times

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  • Vanga, Ratnaji
  • Venkateswaran, Jayendran

Abstract

Reusable Articles (RAs) are vital for supply chain logistics as they provide for the safe, economical and environmentally friendly movement of products and materials. The existing literature related to RAs has focused on the design aspects, fleet sizing, allocation of RAs, repositioning of empty RAs, and their end-of-life stages. This paper focuses on the fleet-sizing problem of RAs under uncertain demand and turnaround times. Probability theory-based analytical models are developed to determine the optimal fleet size of RAs in both lost-sales and back-order cases. The proposed analytical procedure can be used to develop models to find the optimal fleet sizes for any demand scenario with a known distribution. In the lost-sales case, analytical models are developed for uniform and normally distributed demand scenarios. A simulation model is developed to test the effectiveness of the average on-hand inventory in service-level estimation. Sensitivity analysis of the average on-hand inventory for the changes in demand and turnaround times have also been conducted and the key managerial insights are summarized. Analytical models are also developed for the back-order case and some specific managerial insights are presented.

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  • 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.
    • Handle: RePEc:eee:ejores:v:285:y:2020:i:2:p:566-582
    DOI: 10.1016/j.ejor.2020.02.004
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    1. Klosterhalfen, S.T. & Kallrath, J. & Fischer, G., 2014. "Rail car fleet design: Optimization of structure and size," International Journal of Production Economics, Elsevier, vol. 157(C), pages 112-119.
    2. Kleijnen, Jack P. C., 1995. "Verification and validation of simulation models," European Journal of Operational Research, Elsevier, vol. 82(1), pages 145-162, April.
    3. Hellström, Daniel & Johansson, Ola, 2010. "The impact of control strategies on the management of returnable transport items," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(6), pages 1128-1139, November.
    4. Stålhane, Magnus & Halvorsen-Weare, Elin E. & Nonås, Lars Magne & Pantuso, Giovanni, 2019. "Optimizing vessel fleet size and mix to support maintenance operations at offshore wind farms," European Journal of Operational Research, Elsevier, vol. 276(2), pages 495-509.
    5. Renaud, Jacques & Boctor, Fayez F., 2002. "A sweep-based algorithm for the fleet size and mix vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 140(3), pages 618-628, August.
    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. George, David K. & Xia, Cathy H., 2011. "Fleet-sizing and service availability for a vehicle rental system via closed queueing networks," European Journal of Operational Research, Elsevier, vol. 211(1), pages 198-207, May.
    8. 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.
    9. Kochel, Peter & Kunze, Sophie & Nielander, Ulf, 2003. "Optimal control of a distributed service system with moving resources: Application to the fleet sizing and allocation problem," International Journal of Production Economics, Elsevier, vol. 81(1), pages 443-459, January.
    10. Ferrara, Andrea & Gebennini, Elisa & Grassi, Andrea, 2014. "Fleet sizing of laser guided vehicles and pallet shuttles in automated warehouses," International Journal of Production Economics, Elsevier, vol. 157(C), pages 7-14.
    11. Pantuso, Giovanni & Fagerholt, Kjetil & Hvattum, Lars Magnus, 2014. "A survey on maritime fleet size and mix problems," European Journal of Operational Research, Elsevier, vol. 235(2), pages 341-349.
    12. 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.
    13. Felix Papier & Ulrich W. Thonemann, 2008. "Queuing Models for Sizing and Structuring Rental Fleets," Transportation Science, INFORMS, vol. 42(3), pages 302-317, August.
    14. Hiermann, Gerhard & Puchinger, Jakob & Ropke, Stefan & Hartl, Richard F., 2016. "The Electric Fleet Size and Mix Vehicle Routing Problem with Time Windows and Recharging Stations," European Journal of Operational Research, Elsevier, vol. 252(3), pages 995-1018.
    15. Akio Imai & Fausto Rivera, 2001. "Strategic fleet size planning for maritime refrigerated containers," Maritime Policy & Management, Taylor & Francis Journals, vol. 28(4), pages 361-374, October.
    16. Shyshou, Aliaksandr & Gribkovskaia, Irina & Barceló, Jaume, 2010. "A simulation study of the fleet sizing problem arising in offshore anchor handling operations," European Journal of Operational Research, Elsevier, vol. 203(1), pages 230-240, May.
    17. Koç, Çağrı & Bektaş, Tolga & Jabali, Ola & Laporte, Gilbert, 2016. "The fleet size and mix location-routing problem with time windows: Formulations and a heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 248(1), pages 33-51.
    18. Raa, Birger, 2015. "Fleet optimization for cyclic inventory routing problems," International Journal of Production Economics, Elsevier, vol. 160(C), pages 172-181.
    19. G. B. Dantzig & D. R. Fulkerson, 1954. "Minimizing the number of tankers to meet a fixed schedule," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(3), pages 217-222, September.
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    3. Zhang, Abraham & Wang, Jason X. & Farooque, Muhammad & Wang, Yulan & Choi, Tsan-Ming, 2021. "Multi-dimensional circular supply chain management: A comparative review of the state-of-the-art practices and research," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 155(C).
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    5. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Optimal preventive replacement policy for homogeneous cold standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    6. Adil Baykasoğlu & Nurhan Dudaklı & Kemal Subulan & A. Serdar Taşan, 2022. "An integrated fleet planning model with empty vehicle repositioning for an intermodal transportation system," Operational Research, Springer, vol. 22(3), pages 2063-2098, July.

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