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Logistics scheduling with batching and transportation

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  • Chen, Bo
  • Lee, Chung-Yee

Abstract

This paper studies a general two-stage scheduling problem, in which jobs of different importance are processed by one first-stage processor and then, in the second stage, the completed jobs need to be batch delivered to various pre-specified destinations in one of a number of available transportation modes. Our objective is to minimize the sum of weighted job delivery time and total transportation cost. Since this problem involves not only the traditional performance measurement, such as weighted completion time, but also transportation arrangement and cost, key factors in logistics management, we thus call this problem logistics scheduling with batching and transportation (LSBT) problem. We draw an overall picture of the problem complexity for various cases of problem parameters accompanied by polynomial algorithms for solvable cases. On the other hand, we provide for the most general case an approximation algorithm of performance guarantee.

Suggested Citation

  • Chen, Bo & Lee, Chung-Yee, 2008. "Logistics scheduling with batching and transportation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 871-876, September.
  • Handle: RePEc:eee:ejores:v:189:y:2008:i:3:p:871-876
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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.
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    Cited by:

    1. Liu, Weihua & Liu, Xiaoyan & Li, Xiang, 2015. "The two-stage batch ordering strategy of logistics service capacity with demand update," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 83(C), pages 65-89.
    2. Ling Liu & Wenli Li & Kunpeng Li & Xuxia Zou, 2020. "A coordinated production and transportation scheduling problem with minimum sum of order delivery times," Journal of Heuristics, Springer, vol. 26(1), pages 33-58, February.
    3. Zhang, Jun & Wang, Xuping & Huang, Kai, 2018. "On-line scheduling of order picking and delivery with multiple zones and limited vehicle capacity," Omega, Elsevier, vol. 79(C), pages 104-115.
    4. Li, Feng & Xu, Shifu & Xu, Zhou, 2023. "New exact and approximation algorithms for integrated production and transportation scheduling with committed delivery due dates and order acceptance," European Journal of Operational Research, Elsevier, vol. 306(1), pages 127-140.
    5. Martha-Selene Casas-Ramírez & José-Fernando Camacho-Vallejo & Rosa G. González-Ramírez & José-Antonio Marmolejo-Saucedo & José-Manuel Velarde-Cantú, 2018. "Optimizing a Biobjective Production-Distribution Planning Problem Using a GRASP," Complexity, Hindawi, vol. 2018, pages 1-13, February.
    6. Ullrich, Christian A., 2013. "Integrated machine scheduling and vehicle routing with time windows," European Journal of Operational Research, Elsevier, vol. 227(1), pages 152-165.
    7. Selvarajah, Esaignani & Zhang, Rui, 2014. "Supply chain scheduling at the manufacturer to minimize inventory holding and delivery costs," International Journal of Production Economics, Elsevier, vol. 147(PA), pages 117-124.
    8. 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.
    9. Wu, Wei & Hayashi, Takito & Haruyasu, Kato & Tang, Liang, 2023. "Exact algorithms based on a constrained shortest path model for robust serial-batch and parallel-batch scheduling problems," European Journal of Operational Research, Elsevier, vol. 307(1), pages 82-102.
    10. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    11. Lixin Tang & Feng Li & Jiyin Liu, 2015. "Integrated scheduling of loading and transportation with tractors and semitrailers separated," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(5), pages 416-433, August.
    12. Zhong, Xueling & Fan, Jie & Ou, Jinwen, 2022. "Coordinated scheduling of the outsourcing, in-house production and distribution operations," European Journal of Operational Research, Elsevier, vol. 302(2), pages 427-437.
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