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A branch-and-price algorithm for production routing problems with carbon cap-and-trade

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  • Qiu, Yuzhuo
  • Qiao, Jun
  • Pardalos, Panos M.

Abstract

This study presents a model for a pollution production-routing problem under carbon cap-and-trade. The aim is to incorporate carbon emissions into production inventory and routing decisions. The model is characterized by an additional flow-related cost structure, which generalizes models for pollution-routing problems and production inventory and routing problems. Correspondingly, we develop a branch-and-price heuristic by incorporating a column-generation formulation based on the Dantzig–Wolfe decomposition. In addition, we design an ad hoc label-setting algorithm to deal with time-slice networks in pricing subproblems. Computational results allow us to provide managerial insights concerning reduction of carbon emissions in supply chains. We prove that the model has the potential to reduce emission levels of carbon dioxide and operational costs.

Suggested Citation

  • Qiu, Yuzhuo & Qiao, Jun & Pardalos, Panos M., 2017. "A branch-and-price algorithm for production routing problems with carbon cap-and-trade," Omega, Elsevier, vol. 68(C), pages 49-61.
    • Handle: RePEc:eee:jomega:v:68:y:2017:i:c:p:49-61
    DOI: 10.1016/j.omega.2016.06.001
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    1. Guy Desaulniers, 2010. "Branch-and-Price-and-Cut for the Split-Delivery Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 58(1), pages 179-192, February.
    2. Bektas, Tolga & Laporte, Gilbert, 2011. "The Pollution-Routing Problem," Transportation Research Part B: Methodological, Elsevier, vol. 45(8), pages 1232-1250, September.
    3. Faramroze G. Engineer & George L. Nemhauser & Martin W. P. Savelsbergh & Jin-Hwa Song, 2012. "The Fixed-Charge Shortest-Path Problem," INFORMS Journal on Computing, INFORMS, vol. 24(4), pages 578-596, November.
    4. N. Absi & C. Archetti & S. Dauzère-Pérès & D. Feillet, 2015. "A Two-Phase Iterative Heuristic Approach for the Production Routing Problem," Transportation Science, INFORMS, vol. 49(4), pages 784-795, November.
    5. Franceschetti, Anna & Honhon, Dorothée & Van Woensel, Tom & Bektaş, Tolga & Laporte, Gilbert, 2013. "The time-dependent pollution-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 265-293.
    6. Boudia, M. & Prins, C., 2009. "A memetic algorithm with dynamic population management for an integrated production-distribution problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 703-715, June.
    7. Hammami, Ramzi & Nouira, Imen & Frein, Yannick, 2015. "Carbon emissions in a multi-echelon production-inventory model with lead time constraints," International Journal of Production Economics, Elsevier, vol. 164(C), pages 292-307.
    8. 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.
    9. F. Fumero & C. Vercellis, 1999. "Synchronized Development of Production, Inventory, and Distribution Schedules," Transportation Science, INFORMS, vol. 33(3), pages 330-340, August.
    10. Stefan Ropke & Jean-François Cordeau, 2009. "Branch and Cut and Price for the Pickup and Delivery Problem with Time Windows," Transportation Science, INFORMS, vol. 43(3), pages 267-286, August.
    11. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2014. "Optimization-Based Adaptive Large Neighborhood Search for the Production Routing Problem," Transportation Science, INFORMS, vol. 48(1), pages 20-45, February.
    12. 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.
    13. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2015. "Benders Decomposition for Production Routing Under Demand Uncertainty," Operations Research, INFORMS, vol. 63(4), pages 851-867, August.
    14. Yossiri Adulyasak & Jean-François Cordeau & Raf Jans, 2014. "Formulations and Branch-and-Cut Algorithms for Multivehicle Production and Inventory Routing Problems," INFORMS Journal on Computing, INFORMS, vol. 26(1), pages 103-120, February.
    15. Chandra, Pankaj & Fisher, Marshall L., 1994. "Coordination of production and distribution planning," European Journal of Operational Research, Elsevier, vol. 72(3), pages 503-517, February.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

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    2. Zhitao Xu & Adel Elomri & Shaligram Pokharel & Fatih Mutlu, 2019. "The Design of Green Supply Chains under Carbon Policies: A Literature Review of Quantitative Models," Sustainability, MDPI, vol. 11(11), pages 1-20, May.
    3. Liang Shen & Fei Lin & T. C. E. Cheng, 2022. "Low-Carbon Transition Models of High Carbon Supply Chains under the Mixed Carbon Cap-and-Trade and Carbon Tax Policy in the Carbon Neutrality Era," IJERPH, MDPI, vol. 19(18), pages 1-21, September.
    4. Ao Lv & Baofeng Sun, 2022. "Multi-Objective Robust Optimization for the Sustainable Location-Inventory-Routing Problem of Auto Parts Supply Logistics," Mathematics, MDPI, vol. 10(16), pages 1-22, August.
    5. Li, Yantong & Chu, Feng & Côté, Jean-François & Coelho, Leandro C. & Chu, Chengbin, 2020. "The multi-plant perishable food production routing with packaging consideration," International Journal of Production Economics, Elsevier, vol. 221(C).
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    7. Li, Yantong & Chu, Feng & Chu, Chengbin & Zhu, Zhanguo, 2019. "An efficient three-level heuristic for the large-scaled multi-product production routing problem with outsourcing," European Journal of Operational Research, Elsevier, vol. 272(3), pages 914-927.
    8. Neves-Moreira, Fábio & Almada-Lobo, Bernardo & Cordeau, Jean-François & Guimarães, Luís & Jans, Raf, 2019. "Solving a large multi-product production-routing problem with delivery time windows," Omega, Elsevier, vol. 86(C), pages 154-172.
    9. Xuanjing Fang & Yanan Du & Yuzhuo Qiu, 2017. "Reducing Carbon Emissions in a Closed-Loop Production Routing Problem with Simultaneous Pickups and Deliveries under Carbon Cap-and-Trade," Sustainability, MDPI, vol. 9(12), pages 1-15, November.
    10. Qiu, Yuzhuo & Qiao, Jun & Pardalos, Panos M., 2019. "Optimal production, replenishment, delivery, routing and inventory management policies for products with perishable inventory," Omega, Elsevier, vol. 82(C), pages 193-204.
    11. Mohammad Asghari & Seyed Mohammad Javad Mirzapour Al-E-Hashem, 2021. "Green vehicle routing problem: A state-of-the-art review," Post-Print hal-03182944, HAL.
    12. Qiu, Yuzhuo & Zhou, Dan & Du, Yanan & Liu, Jie & Pardalos, Panos M. & Qiao, Jun, 2021. "The two-echelon production routing problem with cross-docking satellites," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 147(C).
    13. Castellano, Davide & Gallo, Mosè & Grassi, Andrea & Santillo, Liberatina C., 2019. "The effect of GHG emissions on production, inventory replenishment and routing decisions in a single vendor-multiple buyers supply chain," International Journal of Production Economics, Elsevier, vol. 218(C), pages 30-42.
    14. Zakaria Chekoubi & Wajdi Trabelsi & Nathalie Sauer & Ilias Majdouline, 2022. "The Integrated Production-Inventory-Routing Problem with Reverse Logistics and Remanufacturing: A Two-Phase Decomposition Heuristic," Sustainability, MDPI, vol. 14(20), pages 1-30, October.
    15. Asghari, Mohammad & Mirzapour Al-e-hashem, S. Mohammad J., 2021. "Green vehicle routing problem: A state-of-the-art review," International Journal of Production Economics, Elsevier, vol. 231(C).
    16. Bertazzi, Luca & Moezi, Sarem Deilami & Maggioni, Francesca, 2021. "The value of integration of full container load, less than container load and air freight shipments in vendor–managed inventory systems," International Journal of Production Economics, Elsevier, vol. 241(C).
    17. Coelho, Leandro Callegari & De Maio, Annarita & Laganà, Demetrio, 2020. "A variable MIP neighborhood descent for the multi-attribute inventory routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    18. Qiu, Yuzhuo & Ni, Ming & Wang, Liang & Li, Qinqin & Fang, Xuanjing & Pardalos, Panos M., 2018. "Production routing problems with reverse logistics and remanufacturing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 87-100.
    19. Shuang, Yan & Diabat, Ali & Liao, Yi, 2019. "A stochastic reverse logistics production routing model with emissions control policy selection," International Journal of Production Economics, Elsevier, vol. 213(C), pages 201-216.
    20. Cao, Kaiying & Guo, Qiang & Xu, Yuqiu, 2023. "Information sharing and carbon reduction strategies with extreme weather in the platform economy," International Journal of Production Economics, Elsevier, vol. 255(C).
    21. Darvish, Maryam & Archetti, Claudia & Coelho, Leandro C., 2019. "Trade-offs between environmental and economic performance in production and inventory-routing problems," International Journal of Production Economics, Elsevier, vol. 217(C), pages 269-280.
    22. Zhang, Zhe & Gong, Xue & Song, Xiaoling & Yin, Yong & Lev, Benjamin & Chen, Jie, 2022. "A column generation-based exact solution method for seru scheduling problems," Omega, Elsevier, vol. 108(C).
    23. Yiqiang Zhang & Hussam Alshraideh & Ali Diabat, 2018. "A stochastic reverse logistics production routing model with environmental considerations," Annals of Operations Research, Springer, vol. 271(2), pages 1023-1044, December.
    24. Md. Anisul Islam & Yuvraj Gajpal, 2021. "Optimization of Conventional and Green Vehicles Composition under Carbon Emission Cap," Sustainability, MDPI, vol. 13(12), pages 1-20, June.

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