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Optimal production, replenishment, delivery, routing and inventory management policies for products with perishable inventory

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

Abstract

This paper presents a generalized production-inventory-routing model with perishable inventory. We analyze the optimal integrated decisions of when and how much to deliver and sell products with varying manufacturing periods. We discuss main inventory management policies to demonstrate the applicability of the model in real-world applications for production routing problems (PRPs) with perishable inventory. Furthermore, an exact branch-and-cut algorithm is developed and discussed. We introduce new families of logical, strengthened lot-sizing and lifted Miller–Tucker–Zemlin subtour elimination constraints for the PRP with perishable inventory. Finally, we test the performance of the algorithm. We also implement and compare 8 suboptimal delivery and selling priority policies with an optimized policy to develop managerial implications.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jomega:v:82:y:2019:i:c:p:193-204
    DOI: 10.1016/j.omega.2018.01.006
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    1. Fred Glover, 1975. "Improved Linear Integer Programming Formulations of Nonlinear Integer Problems," Management Science, INFORMS, vol. 22(4), pages 455-460, December.
    2. 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.
    3. 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.
    4. 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.
    5. F. Fumero & C. Vercellis, 1999. "Synchronized Development of Production, Inventory, and Distribution Schedules," Transportation Science, INFORMS, vol. 33(3), pages 330-340, August.
    6. Claudia Archetti & Luca Bertazzi & Gilbert Laporte & Maria Grazia Speranza, 2007. "A Branch-and-Cut Algorithm for a Vendor-Managed Inventory-Routing Problem," Transportation Science, INFORMS, vol. 41(3), pages 382-391, August.
    7. 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.
    8. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    9. 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.
    10. Kara, Imdat & Laporte, Gilbert & Bektas, Tolga, 2004. "A note on the lifted Miller-Tucker-Zemlin subtour elimination constraints for the capacitated vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 158(3), pages 793-795, November.
    11. 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.
    12. 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.
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    3. 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. Ganguly, Subhamoy & Robb, David J., 2022. "An analytical model to characterize consumption and wastage of fresh fruit and vegetables in households," European Journal of Operational Research, Elsevier, vol. 300(1), pages 151-163.
    8. Mingyuan Wei & Hao Guan & Yunhan Liu & Benhe Gao & Canrong Zhang, 2020. "Production, Replenishment and Inventory Policies for Perishable Products in a Two-Echelon Distribution Network," Sustainability, MDPI, vol. 12(11), pages 1-26, June.
    9. Habibi, Muhammad Khakim & Hammami, Ramzi & Battaia, Olga & Dolgui, Alexandre, 2024. "Simultaneous Pickup-and-Delivery Production-Routing Problem in closed-loop supply chain with remanufacturing and disassembly consideration," International Journal of Production Economics, Elsevier, vol. 273(C).
    10. 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).
    11. Jing, Fuying & Chao, Xiangrui, 2022. "Forecast horizons for a two-echelon dynamic lot-sizing problem," Omega, Elsevier, vol. 110(C).
    12. 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).
    13. 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.
    14. Alvarez, Aldair & Miranda, Pedro & Rohmer, S.U.K., 2022. "Production routing for perishable products," Omega, Elsevier, vol. 111(C).
    15. Maihami, Reza & Govindan, Kannan & Fattahi, Mohammad, 2019. "The inventory and pricing decisions in a three-echelon supply chain of deteriorating items under probabilistic environment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 118-138.
    16. Jing, Fuying & Chao, Xiangrui, 2021. "A dynamic lot size model with perishable inventory and stockout," Omega, Elsevier, vol. 103(C).
    17. Berghman, Lotte & Kergosien, Yannick & Billaut, Jean-Charles, 2023. "A review on integrated scheduling and outbound vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 311(1), pages 1-23.
    18. Dai, B. & Chen, H.X. & Li, Y.A. & Zhang, Y.D. & Wang, X.Q. & Deng, Y.M., 2021. "Inventory replenishment planning of a distribution system with storage capacity constraints and multi-channel order fulfilment," Omega, Elsevier, vol. 102(C).

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