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Modeling and solving the constrained multi-items lot-sizing problem with time-varying setup cost

Author

Listed:
  • Zhou, Shenghan
  • Zhou, Yuliang
  • Zuo, Xiaorong
  • Xiao, Yiyong
  • Cheng, Yang

Abstract

The dynamic lot-sizing problem is highly complex and very important for the planning systems of manufacturing enterprises in time-varying environment, where production factors such as the production setup costs, unit storage costs, and production capacities may constantly rise or fall in different planning periods over the entire planning horizon. This paper proposed an extension model of the dynamic multi-product lot-sizing problem considering time-varying production setup cost and with dual constraints on dynamic capacities and resource limits, which carters for the actual situation of modern production and manufacturing systems in time-varying environments. Comparative experiments on synthesized problem instances were conducted by using the AMPL/CPLEX solver, which showed that the new model is efficiently on finding solutions with high qualities and the maximum size of test problems can be more than 500 products.

Suggested Citation

  • Zhou, Shenghan & Zhou, Yuliang & Zuo, Xiaorong & Xiao, Yiyong & Cheng, Yang, 2018. "Modeling and solving the constrained multi-items lot-sizing problem with time-varying setup cost," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 202-207.
  • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:202-207
    DOI: 10.1016/j.chaos.2018.09.012
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    References listed on IDEAS

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    1. Xiang Li & Guohua Sun & Yongjian Li, 2016. "A multi-period ordering and clearance pricing model considering the competition between new and out-of-season products," Annals of Operations Research, Springer, vol. 242(2), pages 207-221, July.
    2. Rafael A. Melo & Celso C. Ribeiro, 2017. "Formulations and heuristics for the multi-item uncapacitated lot-sizing problem with inventory bounds," International Journal of Production Research, Taylor & Francis Journals, vol. 55(2), pages 576-592, January.
    3. Onur Ozturk & Mehmet A. Begen & Gregory S. Zaric, 2017. "A branch and bound algorithm for scheduling unit size jobs on parallel batching machines to minimize makespan," International Journal of Production Research, Taylor & Francis Journals, vol. 55(6), pages 1815-1831, March.
    4. Xiao, Yiyong & Zhang, Renqian & Zhao, Qiuhong & Kaku, Ikou & Xu, Yuchun, 2014. "A variable neighborhood search with an effective local search for uncapacitated multilevel lot-sizing problems," European Journal of Operational Research, Elsevier, vol. 235(1), pages 102-114.
    5. Yongjian Li & Xiaoqiang Cai & Lei Xu & Wenxia Yang, 2016. "Heuristic approach on dynamic lot-sizing model for durable products with end-of-use constraints," Annals of Operations Research, Springer, vol. 242(2), pages 265-283, July.
    6. Akbalik, Ayse & Hadj-Alouane, Atidel B. & Sauer, Nathalie & Ghribi, Houcem, 2017. "NP-hard and polynomial cases for the single-item lot sizing problem with batch ordering under capacity reservation contract," European Journal of Operational Research, Elsevier, vol. 257(2), pages 483-493.
    7. Qiannong Gu & John K. Visich & Kunpeng Li & Ziping Wang, 2017. "Exploiting timely demand information in determining production lot-sizing: an exploratory study," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4531-4543, August.
    8. Maryam Darvish & Homero Larrain & Leandro C. Coelho, 2016. "A dynamic multi-plant lot-sizing and distribution problem," International Journal of Production Research, Taylor & Francis Journals, vol. 54(22), pages 6707-6717, November.
    9. Kris Lieckens & Nico Vandaele, 2016. "Differential evolution to solve the lot size problem in stochastic supply chain management systems," Annals of Operations Research, Springer, vol. 242(2), pages 239-263, July.
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