IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v285y2020i2p566-582.html
   My bibliography  Save this article

Fleet sizing of reusable articles under uncertain demand and turnaround times

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221720301223
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2020.02.004?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. 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. 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.
    3. Kleijnen, Jack P. C., 1995. "Verification and validation of simulation models," European Journal of Operational Research, Elsevier, vol. 82(1), pages 145-162, April.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Felix Papier & Ulrich W. Thonemann, 2008. "Queuing Models for Sizing and Structuring Rental Fleets," Transportation Science, INFORMS, vol. 42(3), pages 302-317, August.
    12. 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.
    13. 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.
    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.
    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. Meherishi, Lavanya & Narayana, Sushmita A. & Ranjani, K.S., 2021. "Integrated product and packaging decisions with secondary packaging returns and protective packaging management," European Journal of Operational Research, Elsevier, vol. 292(3), pages 930-952.
    2. Hsieh, Chung-Chi & Lathifah, Artya, 2022. "Ordering and waste reuse decisions in a make-to-order system under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1290-1303.
    3. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimization of cyclic preventive replacement in homogeneous warm-standby system with reusable elements exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    4. 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).
    5. 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).
    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.

    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. Kallrath, J. & Klosterhalfen, S.T. & Walter, M. & Fischer, G. & Blackburn, R., 2017. "Payload-based fleet optimization for rail cars in the chemical industry," European Journal of Operational Research, Elsevier, vol. 259(1), pages 113-129.
    2. Malladi, Satya S. & Christensen, Jonas M. & Ramírez, David & Larsen, Allan & Pacino, Dario, 2022. "Stochastic fleet mix optimization: Evaluating electromobility in urban logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 158(C).
    3. Fan, Qiaochu & van Essen, J. Theresia & Correia, Gonçalo H.A., 2024. "A bi-level framework for heterogeneous fleet sizing of ride-hailing services considering an approximated mixed equilibrium between automated and non-automated traffic," European Journal of Operational Research, Elsevier, vol. 315(3), pages 879-898.
    4. Mohamed Amjath & Laoucine Kerbache & James MacGregor Smith, 2024. "A Closed Queueing Networks Approach for an Optimal Heterogeneous Fleet Size of an Inter-Facility Bulk Material Transfer System," Logistics, MDPI, vol. 8(1), pages 1-38, March.
    5. Ksciuk, Jana & Kuhlemann, Stefan & Tierney, Kevin & Koberstein, Achim, 2023. "Uncertainty in maritime ship routing and scheduling: A Literature review," European Journal of Operational Research, Elsevier, vol. 308(2), pages 499-524.
    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.
    7. Hamidreza Eskandari & Ehsan Mahmoodi, 2016. "A simulation-based multi-objective optimization study of the fleet sizing problem in the offshore industry," Maritime Economics & Logistics, Palgrave Macmillan;International Association of Maritime Economists (IAME), vol. 18(4), pages 436-457, December.
    8. Frank, Laura & Klopfer, Antonia & Walther, Grit, 2024. "Designing corporate mobility as a service – Decision support and perspectives," Transportation Research Part A: Policy and Practice, Elsevier, vol. 182(C).
    9. Wu, Lingxiao & Pan, Kai & Wang, Shuaian & Yang, Dong, 2018. "Bulk ship scheduling in industrial shipping with stochastic backhaul canvassing demand," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 117-136.
    10. Kolar, Petr & Schramm, Hans-Joachim & Prockl, Günter, 2018. "Intermodal transport and repositioning of empty containers in Central and Eastern Europe hinterland," Journal of Transport Geography, Elsevier, vol. 69(C), pages 73-82.
    11. Azra Ghobadi & Mohammad Fallah & Reza Tavakkoli-Moghaddam & Hamed Kazemipoor, 2022. "A Fuzzy Two-Echelon Model to Optimize Energy Consumption in an Urban Logistics Network with Electric Vehicles," Sustainability, MDPI, vol. 14(21), pages 1-31, October.
    12. Wang, Xin & Fagerholt, Kjetil & Wallace, Stein W., 2018. "Planning for charters: A stochastic maritime fleet composition and deployment problem," Omega, Elsevier, vol. 79(C), pages 54-66.
    13. Winkelmann, Jonas & Spinler, Stefan & Neukirchen, Thomas, 2024. "Green transport fleet renewal using approximate dynamic programming: A case study in German heavy-duty road transportation," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    14. Wagenaar, J.C. & Fragkos, I. & Faro, W.L.C., 2023. "Transportation asset acquisition under a newsvendor model with cutting-stock restrictions: Approximation and decomposition algorithms," Other publications TiSEM 97eddbd0-6e34-489c-b27d-9, Tilburg University, School of Economics and Management.
    15. Vidal, Thibaut & Laporte, Gilbert & Matl, Piotr, 2020. "A concise guide to existing and emerging vehicle routing problem variants," European Journal of Operational Research, Elsevier, vol. 286(2), pages 401-416.
    16. Pazour, Jennifer A. & Roy, Debjit, 2012. "Minimizing Customer Waiting Costs for Rental Vehicle Providers using Threshold Reservation Policies," IIMA Working Papers WP2012-12-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
    17. Schmidt, Carise E. & Silva, Arinei C.L. & Darvish, Maryam & Coelho, Leandro C., 2023. "Time-dependent fleet size and mix multi-depot vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 255(C).
    18. 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.
    19. Leonardo D. Epstein & Eduardo González & Abdón Sepúlveda, 2020. "Optimal size of a rental inventory with items available from a secondary source: a model with non-stationary probabilities," Annals of Operations Research, Springer, vol. 286(1), pages 371-390, March.
    20. 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.

    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:eee:ejores:v:285:y:2020:i:2:p:566-582. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.