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A Branch-Price-and-Cut Algorithm for a Production-Routing Problem with Short-Life-Span Products

Author

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  • Iman Dayarian

    (Department of Information Systems, Statistics, and Management Science, Culverhouse College of Business, University of Alabama, Tuscaloosa, Alabama 35487)

  • Guy Desaulniers

    (GERAD, Polytechnique Montréal, Montreal, Quebec H3T 2A7, Canada; Department of Mathematics and Industrial Engineering, Polytechnique Montréal, Montreal, Quebec H3T 2A7, Canada)

Abstract

We study a rich production-routing problem with time windows arising at a catering services company. The production part consists of assembling the meals to deliver. It considers release times to ensure freshness of the products to be delivered and is also restricted by due times incurred by the constructed routes. Production employee shifts together with a compatible production schedule must be determined. The routing part consists of building vehicle routes that can contain multiple trips and must satisfy customer time windows and vehicle capacity. Routing and production costs, including a guaranteed minimum paid time for the drivers and the production employees, are minimized under various constraints. To solve this complex problem, we propose an exact branch-price-and-cut algorithm. We introduce a new branching rule that imposes on one branch a lower bound on the production costs. Computational results obtained on instances derived from real-world data sets show the effectiveness of this branching rule. Overall, our algorithm is able to solve to optimality instances with up to 25 orders and four products in less than two hours of computational time. To tackle larger instances involving up to 50 orders, we turn the proposed algorithm into a heuristic by avoiding a complete enumeration of the search tree and develop two other matheuristics based on this branch-price-and-cut heuristic. The online appendices are available at https://doi.org/10.1287/trsc.2018.0854 .

Suggested Citation

  • Iman Dayarian & Guy Desaulniers, 2019. "A Branch-Price-and-Cut Algorithm for a Production-Routing Problem with Short-Life-Span Products," Transportation Science, INFORMS, vol. 53(3), pages 829-849, May.
  • Handle: RePEc:inm:ortrsc:v:53:y:2019:i:3:p:829-849
    DOI: 10.1287/trsc.2018.0854
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    References listed on IDEAS

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    1. Zhi-Long Chen & George L. Vairaktarakis, 2005. "Integrated Scheduling of Production and Distribution Operations," Management Science, INFORMS, vol. 51(4), pages 614-628, April.
    2. Desrochers, Martin & Soumis, Francois, 1988. "A reoptimization algorithm for the shortest path problem with time windows," European Journal of Operational Research, Elsevier, vol. 35(2), pages 242-254, May.
    3. 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.
    4. Low, Chinyao & Chang, Chien-Min & Li, Rong-Kwei & Huang, Chia-Ling, 2014. "Coordination of production scheduling and delivery problems with heterogeneous fleet," International Journal of Production Economics, Elsevier, vol. 153(C), pages 139-148.
    5. Christian Viergutz & Sigrid Knust, 2014. "Integrated production and distribution scheduling with lifespan constraints," Annals of Operations Research, Springer, vol. 213(1), pages 293-318, February.
    6. Gao, Su & Qi, Lian & Lei, Lei, 2015. "Integrated batch production and distribution scheduling with limited vehicle capacity," International Journal of Production Economics, Elsevier, vol. 160(C), pages 13-25.
    7. Van Buer, Michael G. & Woodruff, David L. & Olson, Rick T., 1999. "Solving the medium newspaper production/distribution problem," European Journal of Operational Research, Elsevier, vol. 115(2), pages 237-253, June.
    8. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
    9. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    10. H. Neil Geismar & Gilbert Laporte & Lei Lei & Chelliah Sriskandarajah, 2008. "The Integrated Production and Transportation Scheduling Problem for a Product with a Short Lifespan," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 21-33, February.
    11. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    12. Schmid, Verena & Doerner, Karl F. & Laporte, Gilbert, 2013. "Rich routing problems arising in supply chain management," European Journal of Operational Research, Elsevier, vol. 224(3), pages 435-448.
    13. Amorim, P. & Belo-Filho, M.A.F. & Toledo, F.M.B. & Almeder, C. & Almada-Lobo, B., 2013. "Lot sizing versus batching in the production and distribution planning of perishable goods," International Journal of Production Economics, Elsevier, vol. 146(1), pages 208-218.
    14. Chang, Yung-Chia & Lee, Chung-Yee, 2004. "Machine scheduling with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 158(2), pages 470-487, October.
    15. Villeneuve, Daniel & Desaulniers, Guy, 2005. "The shortest path problem with forbidden paths," European Journal of Operational Research, Elsevier, vol. 165(1), pages 97-107, August.
    16. M.A.F. Belo-Filho & P. Amorim & B. Almada-Lobo, 2015. "An adaptive large neighbourhood search for the operational integrated production and distribution problem of perishable products," International Journal of Production Research, Taylor & Francis Journals, vol. 53(20), pages 6040-6058, October.
    17. Mads Jepsen & Bjørn Petersen & Simon Spoorendonk & David Pisinger, 2008. "Subset-Row Inequalities Applied to the Vehicle-Routing Problem with Time Windows," Operations Research, INFORMS, vol. 56(2), pages 497-511, April.
    18. Moshe Dror, 1994. "Note on the Complexity of the Shortest Path Models for Column Generation in VRPTW," Operations Research, INFORMS, vol. 42(5), pages 977-978, October.
    19. Cynthia Barnhart & Ellis L. Johnson & George L. Nemhauser & Martin W. P. Savelsbergh & Pamela H. Vance, 1998. "Branch-and-Price: Column Generation for Solving Huge Integer Programs," Operations Research, INFORMS, vol. 46(3), pages 316-329, June.
    20. Ronald Armstrong & Su Gao & Lei Lei, 2008. "A zero-inventory production and distribution problem with a fixed customer sequence," Annals of Operations Research, Springer, vol. 159(1), pages 395-414, March.
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    Cited by:

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    2. Diabat, Ali & Bianchessi, Nicola & Archetti, Claudia, 2024. "On the zero-inventory-ordering policy in the inventory routing problem," European Journal of Operational Research, Elsevier, vol. 312(3), pages 1024-1038.
    3. Wang, Yu & Ropke, Stefan & Wen, Min & Bergh, Simon, 2023. "The mobile production vehicle routing problem: Using 3D printing in last mile distribution," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1407-1423.
    4. Yang, Weibo & Ke, Liangjun & Wang, David Z.W. & Lam, Jasmine Siu Lee, 2021. "A branch-price-and-cut algorithm for the vehicle routing problem with release and due dates," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    5. Yu, Bin & Shan, Wenxuan & Sheu, Jiuh-Biing & Diabat, Ali, 2022. "Branch-and-price for a combined order selection and distribution problem in online community group-buying of perishable products," Transportation Research Part B: Methodological, Elsevier, vol. 158(C), pages 341-373.
    6. Chevroton, Hugo & Kergosien, Yannick & Berghman, Lotte & Billaut, Jean-Charles, 2021. "Solving an integrated scheduling and routing problem with inventory, routing and penalty costs," European Journal of Operational Research, Elsevier, vol. 294(2), pages 571-589.

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