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Integrated scheduling on a batch machine to minimize production, inventory and distribution costs

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  • Cheng, Ba-Yi
  • Leung, Joseph Y-T.
  • Li, Kai

Abstract

We consider the problem of scheduling a set of jobs on a single batch-processing machine. Each job has a size and a processing time. The jobs are batched together and scheduled on the batch-processing machine, provided that the total size does not exceed the machine capacity. The processing time of the batch is the longest processing time among all the jobs in the batch. There is a single vehicle to deliver the final products to the customer. If the vehicle has not returned, completed batches will be put into the inventory. In this paper, we consider the problem of minimizing the production, delivery and inventory costs. We show that if the jobs have the same size, there is an O(nlog n)-time algorithm to find an optimal solution. If the jobs have the same processing time, there is a fast approximation algorithm with an absolute worst-case ratio less than 1.783 and an asymptotic worst-case ratio equal to 11/9. When the jobs have arbitrary sizes and arbitrary processing times, there is a fast approximation algorithm with absolute and asymptotic worst-case ratios less than or equal to 2, respectively.

Suggested Citation

  • Cheng, Ba-Yi & Leung, Joseph Y-T. & Li, Kai, 2017. "Integrated scheduling on a batch machine to minimize production, inventory and distribution costs," European Journal of Operational Research, Elsevier, vol. 258(1), pages 104-112.
    • Handle: RePEc:eee:ejores:v:258:y:2017:i:1:p:104-112
    DOI: 10.1016/j.ejor.2016.09.009
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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.
    2. Sung, C. S. & Min, J. I., 2001. "Scheduling in a two-machine flowshop with batch processing machine(s) for earliness/tardiness measure under a common due date," European Journal of Operational Research, Elsevier, vol. 131(1), pages 95-106, May.
    3. Osman, Hany & Demirli, Kudret, 2012. "Economic lot and delivery scheduling problem for multi-stage supply chains," International Journal of Production Economics, Elsevier, vol. 136(2), pages 275-286.
    4. Zhi-Long Chen & Nicholas G. Hall, 2007. "Supply Chain Scheduling: Conflict and Cooperation in Assembly Systems," Operations Research, INFORMS, vol. 55(6), pages 1072-1089, December.
    5. Bayi Cheng & Shanlin Yang & Xiaoxuan Hu & Kai Li, 2014. "Scheduling algorithm for flow shop with two batch-processing machines and arbitrary job sizes," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 571-578.
    6. Naso, David & Surico, Michele & Turchiano, Biagio & Kaymak, Uzay, 2007. "Genetic algorithms for supply-chain scheduling: A case study in the distribution of ready-mixed concrete," European Journal of Operational Research, Elsevier, vol. 177(3), pages 2069-2099, March.
    7. Averbakh, Igor & Xue, Zhihui, 2007. "On-line supply chain scheduling problems with preemption," European Journal of Operational Research, Elsevier, vol. 181(1), pages 500-504, August.
    8. Sawik, Tadeusz, 2009. "Coordinated supply chain scheduling," International Journal of Production Economics, Elsevier, vol. 120(2), pages 437-451, August.
    9. Yeung, Wing-Kwan & Choi, Tsan-Ming & Cheng, T.C.E., 2011. "Supply chain scheduling and coordination with dual delivery modes and inventory storage cost," International Journal of Production Economics, Elsevier, vol. 132(2), pages 223-229, August.
    10. Leung, Joseph Y.-T. & Ng, C.T. & Cheng, T.C. Edwin, 2008. "Minimizing sum of completion times for batch scheduling of jobs with deteriorating processing times," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1090-1099, June.
    11. Esaignani Selvarajah & George Steiner, 2009. "Approximation Algorithms for the Supplier's Supply Chain Scheduling Problem to Minimize Delivery and Inventory Holding Costs," Operations Research, INFORMS, vol. 57(2), pages 426-438, April.
    12. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    13. Melouk, Sharif & Damodaran, Purushothaman & Chang, Ping-Yu, 2004. "Minimizing makespan for single machine batch processing with non-identical job sizes using simulated annealing," International Journal of Production Economics, Elsevier, vol. 87(2), pages 141-147, January.
    14. Payman Jula & Robert C. Leachman, 2010. "Coordinated Multistage Scheduling of Parallel Batch-Processing Machines Under Multiresource Constraints," Operations Research, INFORMS, vol. 58(4-part-1), pages 933-947, August.
    15. Lixin Tang & Ying Meng & Zhi-Long Chen & Jiyin Liu, 2016. "Coil Batching to Improve Productivity and Energy Utilization in Steel Production," Manufacturing & Service Operations Management, INFORMS, vol. 18(2), pages 262-279, May.
    16. Selvarajah, Esaignani & Steiner, George, 2006. "Batch scheduling in a two-level supply chain--a focus on the supplier," European Journal of Operational Research, Elsevier, vol. 173(1), pages 226-240, August.
    17. Nicholas G. Hall & Chris N. Potts, 2003. "Supply chain scheduling: Batching and delivery," Operations Research, INFORMS, vol. 51(4), pages 566-584, August.
    18. Zhi-Long Chen & Guruprasad Pundoor, 2006. "Order Assignment and Scheduling in a Supply Chain," Operations Research, INFORMS, vol. 54(3), pages 555-572, June.
    19. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
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    Cited by:

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    2. Cheng, Bayi & Zhu, Huijun & Li, Kai & Li, Yongjun, 2019. "Optimization of batch operations with a truncated batch-position-based learning effect," Omega, Elsevier, vol. 85(C), pages 134-143.
    3. 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.
    4. Cheng, Bayi & Leung, Joseph Y.-T. & Li, Kai & Yang, Shanlin, 2019. "Integrated optimization of material supplying, manufacturing, and product distribution: Models and fast algorithms," European Journal of Operational Research, Elsevier, vol. 277(1), pages 100-111.

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