IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v250y2016i1p164-178.html
   My bibliography  Save this article

Cyclic inventory routing in a line-shaped network

Author

Listed:
  • Zenker, Michael
  • Emde, Simon
  • Boysen, Nils

Abstract

The inventory routing problem (IRP) is a very challenging optimization task that couples two of the most important components of supply chain management, i.e., inventory control and transportation. Routes of vehicles are to be determined to repeatedly resupply multiple customers with constant demand rates from a single depot. We alter this basic IRP setting by two aspects: (i) only cyclic tours are allowed, i.e., each vehicle continuously tours its dedicated route, and (ii) all customers are located along a line. Both characteristics occur, for instance, in liner shipping (when feeder ships service inland ports along a stream) and in facility logistics (when tow trains deliver part bins to the stations of an assembly line). We formalize the resulting problem setting, identify NP-hard as well as polynomially solvable cases, and develop suited solution procedures.

Suggested Citation

  • Zenker, Michael & Emde, Simon & Boysen, Nils, 2016. "Cyclic inventory routing in a line-shaped network," European Journal of Operational Research, Elsevier, vol. 250(1), pages 164-178.
    • Handle: RePEc:eee:ejores:v:250:y:2016:i:1:p:164-178
    DOI: 10.1016/j.ejor.2015.10.067
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221715009935
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2015.10.067?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. Ford W. Harris, 1990. "How Many Parts to Make at Once," Operations Research, INFORMS, vol. 38(6), pages 947-950, December.
    2. Sambracos, E. & Paravantis, J. A. & Tarantilis, C. D. & Kiranoudis, C. T., 2004. "Dispatching of small containers via coastal freight liners: The case of the Aegean Sea," European Journal of Operational Research, Elsevier, vol. 152(2), pages 365-381, January.
    3. Raa, Birger & Aghezzaf, El-Houssaine, 2008. "Designing distribution patterns for long-term inventory routing with constant demand rates," International Journal of Production Economics, Elsevier, vol. 112(1), pages 255-263, March.
    4. Julien Bramel & David Simchi-Levi, 1995. "A Location Based Heuristic for General Routing Problems," Operations Research, INFORMS, vol. 43(4), pages 649-660, August.
    5. Raa, Birger & Aghezzaf, El-Houssaine, 2009. "A practical solution approach for the cyclic inventory routing problem," European Journal of Operational Research, Elsevier, vol. 192(2), pages 429-441, January.
    6. Karlaftis, Matthew G. & Kepaptsoglou, Konstantinos & Sambracos, Evangelos, 2009. "Containership routing with time deadlines and simultaneous deliveries and pick-ups," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 210-221, January.
    7. Marielle Christiansen & Kjetil Fagerholt & David Ronen, 2004. "Ship Routing and Scheduling: Status and Perspectives," Transportation Science, INFORMS, vol. 38(1), pages 1-18, February.
    8. Baita, Flavio & Ukovich, Walter & Pesenti, Raffaele & Favaretto, Daniela, 1998. "Dynamic routing-and-inventory problems: a review," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(8), pages 585-598, November.
    9. Harilaos N. Psaraftis & Marius M. Solomon & Thomas L. Magnanti & Tai-Up Kim, 1990. "Routing and Scheduling on a Shoreline with Release Times," Management Science, INFORMS, vol. 36(2), pages 212-223, February.
    10. Christiansen, Marielle & Fagerholt, Kjetil & Nygreen, Bjørn & Ronen, David, 2013. "Ship routing and scheduling in the new millennium," European Journal of Operational Research, Elsevier, vol. 228(3), pages 467-483.
    11. AGHEZZAF, El-Houssaine & RAA, Birger & VAN LANDEGHEM, Hendrik, 2006. "Modeling inventory routing problems in supply chains of high consumption products," LIDAM Reprints CORE 1786, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Fagerholt, Kjetil & Lindstad, Håkon, 2000. "Optimal policies for maintaining a supply service in the Norwegian Sea," Omega, Elsevier, vol. 28(3), pages 269-275, June.
    13. S. Anily & A. Federgruen, 1990. "One Warehouse Multiple Retailer Systems with Vehicle Routing Costs," Management Science, INFORMS, vol. 36(1), pages 92-114, January.
    14. Emde, Simon & Boysen, Nils, 2012. "Optimally routing and scheduling tow trains for JIT-supply of mixed-model assembly lines," European Journal of Operational Research, Elsevier, vol. 217(2), pages 287-299.
    15. Nils Boysen & Malte Fliedner & Florian Jaehn & Erwin Pesch, 2013. "A Survey on Container Processing in Railway Yards," Transportation Science, INFORMS, vol. 47(3), pages 312-329, August.
    16. Ronen, David, 1993. "Ship scheduling: The last decade," European Journal of Operational Research, Elsevier, vol. 71(3), pages 325-333, December.
    17. Battini, Daria & Boysen, Nils & Emde, Simon, 2013. "Just-in-Time supermarkets for part supply in the automobile industry," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 79438, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    18. Ronen, David, 1983. "Cargo ships routing and scheduling: Survey of models and problems," European Journal of Operational Research, Elsevier, vol. 12(2), pages 119-126, February.
    19. Daria Battini & Nils Boysen & Simon Emde, 2013. "Just-in-Time supermarkets for part supply in the automobile industry," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 24(2), pages 209-217, July.
    20. Aghezzaf, El-Houssaine & Raa, Birger & Van Landeghem, Hendrik, 2006. "Modeling inventory routing problems in supply chains of high consumption products," European Journal of Operational Research, Elsevier, vol. 169(3), pages 1048-1063, March.
    21. Raa, Birger, 2015. "Fleet optimization for cyclic inventory routing problems," International Journal of Production Economics, Elsevier, vol. 160(C), pages 172-181.
    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. Raa, Birger & Aouam, Tarik, 2021. "Multi-vehicle stochastic cyclic inventory routing with guaranteed replenishments," International Journal of Production Economics, Elsevier, vol. 234(C).
    2. Emde, Simon & Tahirov, Nail & Gendreau, Michel & Glock, Christoph H., 2021. "Routing automated lane-guided transport vehicles in a warehouse handling returns," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1085-1098.
    3. Simon Emde & Michael Schneider, 2018. "Just-In-Time Vehicle Routing for In-House Part Feeding to Assembly Lines," Transportation Science, INFORMS, vol. 52(3), pages 657-672, June.
    4. Bertazzi, Luca & Laganà, Demetrio & Ohlmann, Jeffrey W. & Paradiso, Rosario, 2020. "An exact approach for cyclic inbound inventory routing in a level production system," European Journal of Operational Research, Elsevier, vol. 283(3), pages 915-928.
    5. Divsalar, Ali & Vansteenwegen, Pieter, 2016. "A two-phase algorithm for the cyclic inventory routing problemAuthor-Name: Chitsaz, Masoud," European Journal of Operational Research, Elsevier, vol. 254(2), pages 410-426.
    6. Rau, Hsin & Budiman, Syarif Daniel & Widyadana, Gede Agus, 2018. "Optimization of the multi-objective green cyclical inventory routing problem using discrete multi-swarm PSO method," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 120(C), pages 51-75.
    7. Raa, Birger & Aouam, Tarik, 2023. "A shortfall modelling-based solution approach for stochastic cyclic inventory routing," European Journal of Operational Research, Elsevier, vol. 305(2), pages 674-684.

    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. Leandro C. Coelho & Jean-François Cordeau & Gilbert Laporte, 2014. "Thirty Years of Inventory Routing," Transportation Science, INFORMS, vol. 48(1), pages 1-19, February.
    2. Simon Emde & Michael Schneider, 2018. "Just-In-Time Vehicle Routing for In-House Part Feeding to Assembly Lines," Transportation Science, INFORMS, vol. 52(3), pages 657-672, June.
    3. Diego Cattaruzza & Nabil Absi & Dominique Feillet, 2018. "Vehicle routing problems with multiple trips," Annals of Operations Research, Springer, vol. 271(1), pages 127-159, December.
    4. Diego Cattaruzza & Nabil Absi & Dominique Feillet, 2016. "Vehicle routing problems with multiple trips," 4OR, Springer, vol. 14(3), pages 223-259, September.
    5. Raa, Birger & Aouam, Tarik, 2021. "Multi-vehicle stochastic cyclic inventory routing with guaranteed replenishments," International Journal of Production Economics, Elsevier, vol. 234(C).
    6. Nikolaos Charalambopoulos & Andreas C. Nearchou, 2021. "Ship Routing Using Genetic Algorithms," SN Operations Research Forum, Springer, vol. 2(3), pages 1-26, September.
    7. Zheng, Jianfeng & Sun, Zhuo & Zhang, Fangjun, 2016. "Measuring the perceived container leasing prices in liner shipping network design with empty container repositioning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 123-140.
    8. Wang, Shuaian & Meng, Qiang & Sun, Zhuo, 2013. "Container routing in liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 1-7.
    9. Meng, Qiang & Wang, Tingsong & Wang, Shuaian, 2012. "Short-term liner ship fleet planning with container transshipment and uncertain container shipment demand," European Journal of Operational Research, Elsevier, vol. 223(1), pages 96-105.
    10. Zheng, Jianfeng & Meng, Qiang & Sun, Zhuo, 2015. "Liner hub-and-spoke shipping network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 32-48.
    11. Fokkema, Jan Eise & Land, Martin J. & Coelho, Leandro C. & Wortmann, Hans & Huitema, George B., 2020. "A continuous-time supply-driven inventory-constrained routing problem," Omega, Elsevier, vol. 92(C).
    12. Zheng, Jianfeng & Qi, Jingwen & Sun, Zhuo & Li, Feng, 2018. "Community structure based global hub location problem in liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 1-19.
    13. Mohd Kamarul Irwan Abdul Rahim & El-Houssaine Aghezzaf & Veronique Limère & Birger Raa, 2016. "Analysing the effectiveness of vendor-managed inventory in a single-warehouse, multiple-retailer system," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1953-1965, June.
    14. Qiang Meng & Shuaian Wang & Henrik Andersson & Kristian Thun, 2014. "Containership Routing and Scheduling in Liner Shipping: Overview and Future Research Directions," Transportation Science, INFORMS, vol. 48(2), pages 265-280, May.
    15. Raa, Birger & Aouam, Tarik, 2023. "A shortfall modelling-based solution approach for stochastic cyclic inventory routing," European Journal of Operational Research, Elsevier, vol. 305(2), pages 674-684.
    16. Qiang Meng & Tingsong Wang, 2010. "A chance constrained programming model for short-term liner ship fleet planning problems," Maritime Policy & Management, Taylor & Francis Journals, vol. 37(4), pages 329-346, July.
    17. Jafarian, Ahmad & Asgari, Nasrin & Mohri, Seyed Sina & Fatemi-Sadr, Elham & Farahani, Reza Zanjirani, 2019. "The inventory-routing problem subject to vehicle failure," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 254-294.
    18. Christiansen, Marielle & Fagerholt, Kjetil & Nygreen, Bjørn & Ronen, David, 2013. "Ship routing and scheduling in the new millennium," European Journal of Operational Research, Elsevier, vol. 228(3), pages 467-483.
    19. Chen, Kang & Chen, Dongxu & Sun, Xueshan & Yang, Zhongzhen, 2016. "Container Ocean-transportation System Design with the factors of demand fluctuation and choice inertia of shippers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 267-281.
    20. Wang, Shuaian & Meng, Qiang, 2012. "Liner ship fleet deployment with container transshipment operations," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 470-484.

    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:250:y:2016:i:1:p:164-178. 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.