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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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    Cited by:

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    2. 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).
    3. 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.
    4. Manousakis, Eleftherios G. & Kasapidis, Grigoris A. & Kiranoudis, Chris T. & Zachariadis, Emmanouil E., 2022. "An infeasible space exploring matheuristic for the Production Routing Problem," European Journal of Operational Research, Elsevier, vol. 298(2), pages 478-495.
    5. 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.
    6. 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.

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