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Integrated batch production and distribution scheduling with limited vehicle capacity

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  • Gao, Su
  • Qi, Lian
  • Lei, Lei

Abstract

We study a variation of the Integrated Production and Distribution Problem (IPDP) in which orders are processed and delivered in batches with limited vehicle capacity. We emphasize the no-wait condition between the production and distribution of each batch, and prove that the general version of this integrated operational scheduling problem is strongly NP-hard. Two special cases, with identical order processing time and identical delivery time respectively, are investigated to explore the optimal solution structures, such as how orders should be sequenced based on their processing and delivery time. These optimal solution structures not only help the design of polynomial time algorithms for the special cases, but also reveal insights that facilitate the development of the heuristic for the general problem. We also offer the analytical worst case error bound of this heuristic in solving the general problem by providing a performance ratio less than two, and numerically demonstrate the effectiveness of our heuristic in terms of accuracy and speed. Statistical tests are carried out to investigate the impacts of problem parameters, including order number, vehicle capacity, and variety of order processing time and delivery time, on the accuracy of the heuristic.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:160:y:2015:i:c:p:13-25
    DOI: 10.1016/j.ijpe.2014.08.017
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    4. Azeddine Cheref & Alessandro Agnetis & Christian Artigues & Jean-Charles Billaut, 2017. "Complexity results for an integrated single machine scheduling and outbound delivery problem with fixed sequence," Journal of Scheduling, Springer, vol. 20(6), pages 681-693, December.
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    6. Kuhn, Heinrich & Schubert, Daniel & Holzapfel, Andreas, 2021. "Integrated order batching and vehicle routing operations in grocery retail – A General Adaptive Large Neighborhood Search algorithm," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1003-1021.
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    8. Daniel Schubert & André Scholz & Gerhard Wäscher, 2017. "Integrated Order Picking and Vehicle Routing with Due Dates," FEMM Working Papers 170007, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    9. Feng Guo & Qi Liu & Dunhu Liu & Zhaoxia Guo, 2017. "On Production and Green Transportation Coordination in a Sustainable Global Supply Chain," Sustainability, MDPI, vol. 9(11), pages 1-20, November.
    10. Sun, X.T. & Chung, S.H. & Chan, Felix T.S. & Wang, Zheng, 2018. "The impact of liner shipping unreliability on the production–distribution scheduling of a decentralized manufacturing system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 242-269.
    11. Sawik, Tadeusz, 2016. "Integrated supply, production and distribution scheduling under disruption risks," Omega, Elsevier, vol. 62(C), pages 131-144.
    12. Wang, Du-Juan & Yin, Yunqiang & Xu, Jianyou & Wu, Wen-Hsiang & Cheng, Shuenn-Ren & Wu, Chin-Chia, 2015. "Some due date determination scheduling problems with two agents on a single machine," International Journal of Production Economics, Elsevier, vol. 168(C), pages 81-90.
    13. Yong-Jae Kim & Byung-Soo Kim, 2022. "Population-Based Meta-Heuristic Algorithms for Integrated Batch Manufacturing and Delivery Scheduling Problem," Mathematics, MDPI, vol. 10(21), pages 1-22, November.
    14. Daniel Schubert & André Scholz & Gerhard Wäscher, 2018. "Integrated order picking and vehicle routing with due dates," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(4), pages 1109-1139, October.

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