IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v290y2021i1p144-158.html
   My bibliography  Save this article

Optimisation model for multi-item multi-echelon supply chains with nested multi-level products

Author

Listed:
  • Quetschlich, Mathias
  • Moetz, André
  • Otto, Boris

Abstract

This study proposes a mathematical optimisation model for the horizontal integration of the basic processes of production, inventory, and transportation planning on a tactical level. The model enables planning for cutting, assembly, transportation, and inventory while considering process times. Several items (raw materials, intermediate goods, finished products, and transport vehicles) are routed through a network. The general structure is defined by the layout of the supply network and the configurable multi-level bills of materials of products and transportation equipment, which can be converging, diverging, or mixed. To stress the practical applications of this study, we demonstrate how this generic model can be used and customised to solve an actual planning task in a multi-stage automotive production network using real industry data.

Suggested Citation

  • Quetschlich, Mathias & Moetz, André & Otto, Boris, 2021. "Optimisation model for multi-item multi-echelon supply chains with nested multi-level products," European Journal of Operational Research, Elsevier, vol. 290(1), pages 144-158.
    • Handle: RePEc:eee:ejores:v:290:y:2021:i:1:p:144-158
    DOI: 10.1016/j.ejor.2020.08.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221720306950
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2020.08.005?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. Mula, Josefa & Peidro, David & Díaz-Madroñero, Manuel & Vicens, Eduardo, 2010. "Mathematical programming models for supply chain production and transport planning," European Journal of Operational Research, Elsevier, vol. 204(3), pages 377-390, August.
    2. Boysen, Nils & Emde, Simon & Hoeck, Michael & Kauderer, Markus, 2015. "Part logistics in the automotive industry: Decision problems, literature review and research agenda," European Journal of Operational Research, Elsevier, vol. 242(1), pages 107-120.
    3. 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.
    4. Boysen, Nils & Scholl, Armin & Wopperer, Nico, 2012. "Resequencing of mixed-model assembly lines: Survey and research agenda," European Journal of Operational Research, Elsevier, vol. 216(3), pages 594-604.
    5. Glock, Christoph H. & Grosse, Eric H. & Ries, Jörg M., 2014. "The lot sizing problem: A tertiary study," International Journal of Production Economics, Elsevier, vol. 155(C), pages 39-51.
    6. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    7. Rohde, J. & Meyr, H. & Wagner, M., 2000. "Die Supply Chain Planning Matrix," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36716, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Boysen, Nils & Fliedner, Malte & Scholl, Armin, 2008. "Assembly line balancing: Which model to use when," International Journal of Production Economics, Elsevier, vol. 111(2), pages 509-528, February.
    9. Absi, Nabil & Archetti, Claudia & Dauzère-Pérès, Stéphane & Feillet, Dominique & Speranza, M. Grazia, 2018. "Comparing sequential and integrated approaches for the production routing problem," European Journal of Operational Research, Elsevier, vol. 269(2), pages 633-646.
    10. Richard Bellman, 1954. "On some applications of the theory of dynamic programming to logistics," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(2), pages 141-153, June.
    11. Herbert Meyr & Michael Wagner & Jens Rohde, 2008. "Structure of Advanced Planning Systems," Springer Books, in: Hartmut Stadtler & Christoph Kilger (ed.), Supply Chain Management and Advanced Planning, edition 4, chapter 5, pages 109-115, Springer.
    12. Gu, Jinxiang & Goetschalckx, Marc & McGinnis, Leon F., 2007. "Research on warehouse operation: A comprehensive review," European Journal of Operational Research, Elsevier, vol. 177(1), pages 1-21, February.
    13. Karina Copil & Martin Wörbelauer & Herbert Meyr & Horst Tempelmeier, 2017. "Simultaneous lotsizing and scheduling problems: a classification and review of models," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 1-64, January.
    14. Martínez-Costa, Carme & Mas-Machuca, Marta & Benedito, Ernest & Corominas, Albert, 2014. "A review of mathematical programming models for strategic capacity planning in manufacturing," International Journal of Production Economics, Elsevier, vol. 153(C), pages 66-85.
    15. Goetschalckx, Marc & Vidal, Carlos J. & Dogan, Koray, 2002. "Modeling and design of global logistics systems: A review of integrated strategic and tactical models and design algorithms," European Journal of Operational Research, Elsevier, vol. 143(1), pages 1-18, November.
    16. Marcel P. Timmer & Erik Dietzenbacher & Bart Los & Robert Stehrer & Gaaitzen J. Vries, 2015. "An Illustrated User Guide to the World Input–Output Database: the Case of Global Automotive Production," Review of International Economics, Wiley Blackwell, vol. 23(3), pages 575-605, August.
    17. Boysen, Nils & Emde, Simon & Hoeck, Michael & Kauderer, Markus, 2015. "Part logistics in the automotive industry: Decision problems, literature review and research agenda," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 79443, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    18. Herbert Meyr & Hartmut Stadtler, 2015. "Types of Supply Chains," Springer Texts in Business and Economics, in: Hartmut Stadtler & Christoph Kilger & Herbert Meyr (ed.), Supply Chain Management and Advanced Planning, edition 5, chapter 3, pages 55-69, Springer.
    19. Jayashankar M. Swaminathan & Thomas R. Nitsch, 2007. "Managing Product Variety in Automobile Assembly: The Importance of the Sequencing Point," Interfaces, INFORMS, vol. 37(4), pages 324-333, August.
    20. Richard Bellman, 1954. "Some Applications of the Theory of Dynamic Programming---A Review," Operations Research, INFORMS, vol. 2(3), pages 275-288, August.
    21. Jansen, Sjors & Atan, Zümbül & Adan, Ivo & Kok, Ton de, 2019. "Setting optimal planned leadtimes in configure-to-order assembly systems," European Journal of Operational Research, Elsevier, vol. 273(2), pages 585-595.
    22. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    23. Atan, Zümbül & Ahmadi, Taher & Stegehuis, Clara & Kok, Ton de & Adan, Ivo, 2017. "Assemble-to-order systems: A review," European Journal of Operational Research, Elsevier, vol. 261(3), pages 866-879.
    24. Gansterer, Margaretha & Hartl, Richard F., 2018. "Collaborative vehicle routing: A survey," European Journal of Operational Research, Elsevier, vol. 268(1), pages 1-12.
    25. Meyr, H., 2004. "Supply chain planning in the German automotive industry," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36062, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    26. Glock, C. H. & Grosse, E. H. & Ries, J. M., 2014. "The Lot Sizing Problem: A Tertiary Study," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 63361, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    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. Yan, Pengyu & Yu, Kaize & Chao, Xiuli & Chen, Zhibin, 2023. "An online reinforcement learning approach to charging and order-dispatching optimization for an e-hailing electric vehicle fleet," European Journal of Operational Research, Elsevier, vol. 310(3), pages 1218-1233.
    2. Wang, Julong & Liu, Zhixue & Li, Feng, 2024. "Integrated production and transportation scheduling problem under nonlinear cost structures," European Journal of Operational Research, Elsevier, vol. 313(3), pages 883-904.
    3. Bayliss, Christopher & Bektaş, Tolga & Tjon-Soei-Len, Vernon & Rohner, Remo, 2023. "Designing a multi-modal and variable-echelon delivery system for last-mile logistics," European Journal of Operational Research, Elsevier, vol. 307(2), pages 645-662.

    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. Diefenbach, Heiko & Emde, Simon & Glock, Christoph H., 2020. "Loading tow trains ergonomically for just-in-time part supply," European Journal of Operational Research, Elsevier, vol. 284(1), pages 325-344.
    2. Boysen, Nils & Emde, Simon & Hoeck, Michael & Kauderer, Markus, 2015. "Part logistics in the automotive industry: Decision problems, literature review and research agenda," European Journal of Operational Research, Elsevier, vol. 242(1), pages 107-120.
    3. Boysen, Nils & Schulze, Philipp & Scholl, Armin, 2022. "Assembly line balancing: What happened in the last fifteen years?," European Journal of Operational Research, Elsevier, vol. 301(3), pages 797-814.
    4. Taube, F. & Minner, S., 2018. "Resequencing mixed-model assembly lines with restoration to customer orders," Omega, Elsevier, vol. 78(C), pages 99-111.
    5. Melega, Gislaine Mara & de Araujo, Silvio Alexandre & Jans, Raf, 2018. "Classification and literature review of integrated lot-sizing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 271(1), pages 1-19.
    6. Simon Emde, 2017. "Scheduling the replenishment of just-in-time supermarkets in assembly plants," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 321-345, January.
    7. Jun Wang & Jingbo Yin & Rafi Ullah Khan & Siqi Wang & Tie Zheng, 2021. "A Study of Inbound Logistics Mode Based on JIT Production in Cruise Ship Construction," Sustainability, MDPI, vol. 13(3), pages 1-18, February.
    8. Pedro L. Miranda & Reinaldo Morabito & Deisemara Ferreira, 2018. "Optimization model for a production, inventory, distribution and routing problem in small furniture companies," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 30-67, April.
    9. Oliveira, Washington A. & Fiorotto, Diego J. & Song, Xiang & Jones, Dylan F., 2021. "An extended goal programming model for the multiobjective integrated lot-sizing and cutting stock problem," European Journal of Operational Research, Elsevier, vol. 295(3), pages 996-1007.
    10. Mac Cawley, Alejandro & Maturana, Sergio & Pascual, Rodrigo & Tortorella, Guilherme Luz, 2022. "Scheduling wine bottling operations with multiple lines and sequence-dependent set-up times: Robust formulation and a decomposition solution approach," European Journal of Operational Research, Elsevier, vol. 303(2), pages 819-839.
    11. Annika Becker & Raik Stolletz & Thomas Stäblein, 2017. "Strategic ramp-up planning in automotive production networks," International Journal of Production Research, Taylor & Francis Journals, vol. 55(1), pages 59-78, January.
    12. Marcel Lehmann & Heinrich Kuhn, 2020. "Modeling and analyzing sequence stability in flexible automotive production systems," Flexible Services and Manufacturing Journal, Springer, vol. 32(2), pages 366-394, June.
    13. David A. Goldberg & Martin I. Reiman & Qiong Wang, 2021. "A Survey of Recent Progress in the Asymptotic Analysis of Inventory Systems," Production and Operations Management, Production and Operations Management Society, vol. 30(6), pages 1718-1750, June.
    14. Thomas L. Magnanti, 2021. "Optimization: From Its Inception," Management Science, INFORMS, vol. 67(9), pages 5349-5363, September.
    15. Alena Otto & Nils Boysen & Armin Scholl & Rico Walter, 2017. "Ergonomic workplace design in the fast pick area," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(4), pages 945-975, October.
    16. Martin Grunewald & Thomas Volling & Christoph Müller & Thomas S. Spengler, 2018. "Multi-item single-source ordering with detailed consideration of transportation capacities," Journal of Business Economics, Springer, vol. 88(7), pages 971-1007, September.
    17. Mohammed Hichame Benbitour & Evren Sahin & Yves Dallery, 2019. "The use of rush deliveries in periodic review assemble-to-order systems," Post-Print hal-01997380, HAL.
    18. Liu, Songsong & Papageorgiou, Lazaros G., 2013. "Multiobjective optimisation of production, distribution and capacity planning of global supply chains in the process industry," Omega, Elsevier, vol. 41(2), pages 369-382.
    19. Heiko Diefenbach & Simon Emde & Christoph H. Glock & Eric H. Grosse, 2022. "New solution procedures for the order picker routing problem in U-shaped pick areas with a movable depot," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 535-573, June.
    20. Sahling, Florian & Hahn, Gerd J., 2019. "Dynamic lot sizing in biopharmaceutical manufacturing," International Journal of Production Economics, Elsevier, vol. 207(C), pages 96-106.

    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:290:y:2021:i:1:p:144-158. 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.