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Optimizing multi-supplier multi-item joint replenishment problem for non-instantaneous deteriorating items with quantity discounts

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  • Xueyi Ai
  • Yi Yue
  • Haoxuan Xu
  • Xudong Deng

Abstract

This paper deals with a new joint replenishment problem, in which a number of non-instantaneous deteriorating items are replenished from several suppliers under different quantity discounts schemes. Involving both joint replenishment decisions and supplier selection decisions makes the problem to be NP-hard. In particular, the consideration of non-instantaneous deterioration makes it more challenging to handle. We first construct a mathematical model integrated with a supplier selection system and a joint replenishment program for non-instantaneous deteriorating items to formulate the problem. Then we develop a novel swarm intelligence optimization algorithm, the Improved Moth-flame Optimization (IMFO) algorithm, to solve the proposed model. The results of several numerical experiments analyses reveal that the IMFO algorithm is an effective algorithm for solving the proposed model in terms of solution quality and searching stableness. Finally, we conduct extensive experiments to further investigate the performance of the proposed model.

Suggested Citation

  • Xueyi Ai & Yi Yue & Haoxuan Xu & Xudong Deng, 2021. "Optimizing multi-supplier multi-item joint replenishment problem for non-instantaneous deteriorating items with quantity discounts," PLOS ONE, Public Library of Science, vol. 16(2), pages 1-22, February.
    • Handle: RePEc:plo:pone00:0246035
    DOI: 10.1371/journal.pone.0246035
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    References listed on IDEAS

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    1. Wu, Kun-Shan & Ouyang, Liang-Yuh & Yang, Chih-Te, 2006. "An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging," International Journal of Production Economics, Elsevier, vol. 101(2), pages 369-384, June.
    2. Xue-Yi Ai & Jin-Long Zhang & Lin Wang, 2017. "Optimal joint replenishment policy for multiple non-instantaneous deteriorating items," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4625-4642, August.
    3. Xin Chen & Zhan Pang & Limeng Pan, 2014. "Coordinating Inventory Control and Pricing Strategies for Perishable Products," Operations Research, INFORMS, vol. 62(2), pages 284-300, April.
    4. Yi Yang & Youhua (Frank) Chen & Yun Zhou, 2014. "Coordinating Inventory Control and Pricing Strategies Under Batch Ordering," Operations Research, INFORMS, vol. 62(1), pages 25-37, February.
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    Cited by:

    1. Alireza Azimian & Belaid Aouni, 2025. "Multi-item order quantity optimization through stochastic goal programing," Annals of Operations Research, Springer, vol. 346(2), pages 751-779, March.

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