IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v130y2025ics0305048324001300.html
   My bibliography  Save this article

A multi-objective lot sizing procurement model for multi-period cold chain management including supplier and carrier selection

Author

Listed:
  • Wang, Yong
  • Sun, Weixin
  • Abedin, Mohammad Zoynul
  • Hajek, Petr
  • Xue, Wenting

Abstract

The rapid expansion of the cold chain market is a key supply chain trend, but its high energy consumption conflicts with low-carbon goals. To address this, the paper proposes a multi-objective lot sizing procurement (LSP) model for managing the procurement of perishable products in the cold chain. This model, constrained by limited inventory and transportation capacity, aims to optimize multi-period procurement plans and order allocation and minimize total costs and carbon emissions. The proposed multi-objective LSP model adopts a posteriori mode, which contributes to enhancing the model's applicability, especially in countries where carbon tax and trading systems are not fully developed. To enhance decision makers’ decision efficiency and preserve the diversity of the original Pareto solutions as much as possible, the K-means++ algorithm is employed to prune the original Pareto solution set, providing decision-makers with three representative solutions (cost priority, balanced, and carbon priority solutions). In addition, the paper conducts sensitivity analysis, stability experiments, and compares the multi-objective LSP model with the benchmark model (relaxed carbon emission constraints). Experiments show that the multi-objective LSP model quickly and stably provides decision-makers with lot sizing purchasing plans for numerical examples of different scales and effectively controls the total carbon footprint of the entire cold chain at a low cost.

Suggested Citation

  • Wang, Yong & Sun, Weixin & Abedin, Mohammad Zoynul & Hajek, Petr & Xue, Wenting, 2025. "A multi-objective lot sizing procurement model for multi-period cold chain management including supplier and carrier selection," Omega, Elsevier, vol. 130(C).
  • Handle: RePEc:eee:jomega:v:130:y:2025:i:c:s0305048324001300
    DOI: 10.1016/j.omega.2024.103165
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305048324001300
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.omega.2024.103165?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Boonmee, Atiwat & Sethanan, Kanchana, 2016. "A GLNPSO for multi-level capacitated lot-sizing and scheduling problem in the poultry industry," European Journal of Operational Research, Elsevier, vol. 250(2), pages 652-665.
    2. Ford W. Harris, 1990. "How Many Parts to Make at Once," Operations Research, INFORMS, vol. 38(6), pages 947-950, December.
    3. Liu, Hengyu & Zhang, Juliang & Zhou, Chen & Ru, Yihong, 2018. "Optimal purchase and inventory retrieval policies for perishable seasonal agricultural products," Omega, Elsevier, vol. 79(C), pages 133-145.
    4. Smriti Mallapaty, 2020. "How China could be carbon neutral by mid-century," Nature, Nature, vol. 586(7830), pages 482-483, October.
    5. Siemon, Michel & Schiffer, Maximilian & Walther, Grit, 2021. "Integrated purchasing and production planning for a non-Ferrous metal production network," Omega, Elsevier, vol. 98(C).
    6. Wang, Gang, 2024. "Order assignment and two-stage integrated scheduling in fruit and vegetable supply chains," Omega, Elsevier, vol. 124(C).
    7. Shaofu Du & Jun Qian & Tianzhuo Liu & Li Hu, 2020. "Emission allowance allocation mechanism design: a low-carbon operations perspective," Annals of Operations Research, Springer, vol. 291(1), pages 247-280, August.
    8. Liao, Zhiying & Rittscher, Jens, 2007. "Integration of supplier selection, procurement lot sizing and carrier selection under dynamic demand conditions," International Journal of Production Economics, Elsevier, vol. 107(2), pages 502-510, June.
    9. Amir Hossein Azadnia & Muhamad Zameri Mat Saman & Kuan Yew Wong, 2015. "Sustainable supplier selection and order lot-sizing: an integrated multi-objective decision-making process," International Journal of Production Research, Taylor & Francis Journals, vol. 53(2), pages 383-408, January.
    10. Khalili-Fard, Alireza & Hashemi, Mojgan & Bakhshi, Alireza & Yazdani, Maziar & Jolai, Fariborz & Aghsami, Amir, 2024. "Integrated relief pre-positioning and procurement planning considering non-governmental organizations support and perishable relief items in a humanitarian supply chain network," Omega, Elsevier, vol. 127(C).
    11. Lin, Qi & Zhao, Qiuhong & Lev, Benjamin, 2020. "Cold chain transportation decision in the vaccine supply chain," European Journal of Operational Research, Elsevier, vol. 283(1), pages 182-195.
    12. Petchrompo, Sanyapong & Wannakrairot, Anupong & Parlikad, Ajith Kumar, 2022. "Pruning Pareto optimal solutions for multi-objective portfolio asset management," European Journal of Operational Research, Elsevier, vol. 297(1), pages 203-220.
    13. Zamani Dadaneh, Dariush & Moradi, Sajad & Alizadeh, Behrooz, 2023. "Simultaneous planning of purchase orders, production, and inventory management under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 265(C).
    14. Harpreet Kaur & Surya Prakash Singh, 2019. "Sustainable procurement and logistics for disaster resilient supply chain," Annals of Operations Research, Springer, vol. 283(1), pages 309-354, December.
    15. Gan, Xianghua & Sethi, Suresh P. & Xu, Liang, 2019. "Simultaneous Optimization of Contingent and Advance Purchase Orders with Fixed Ordering Costs," Omega, Elsevier, vol. 89(C), pages 227-241.
    16. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    17. Najafi, Mehdi & Zolfagharinia, Hossein, 2024. "A Multi-objective integrated approach to address sustainability in a meat supply chain," Omega, Elsevier, vol. 124(C).
    18. Fu, Hongyong & Lei, Yifeng & Zhang, Shuguang & Zhao, Kexin & Zhao, Yanlu, 2024. "Unravelling the carbon emissions compliance in sustainable supply chains: The impacts of carbon audit cooperation," Omega, Elsevier, vol. 129(C).
    19. Minner, Stefan, 2009. "A comparison of simple heuristics for multi-product dynamic demand lot-sizing with limited warehouse capacity," International Journal of Production Economics, Elsevier, vol. 118(1), pages 305-310, March.
    20. Jia, Zhijie & Lin, Boqiang, 2020. "Rethinking the choice of carbon tax and carbon trading in China," Technological Forecasting and Social Change, Elsevier, vol. 159(C).
    21. Claassen, G.D.H. & Kirst, P. & Van, A. Thai Thi & Snels, J.C.M.A. & Guo, X. & van Beek, P., 2024. "Integrating time-temperature dependent deterioration in the economic order quantity model for perishable products in multi-echelon supply chains," Omega, Elsevier, vol. 125(C).
    22. Candace Arai Yano & Hau L. Lee, 1995. "Lot Sizing with Random Yields: A Review," Operations Research, INFORMS, vol. 43(2), pages 311-334, April.
    23. Liangjie Xia & Yongwan Bai & Sanjoy Ghose & Juanjuan Qin, 2022. "Differential game analysis of carbon emissions reduction and promotion in a sustainable supply chain considering social preferences," Annals of Operations Research, Springer, vol. 310(1), pages 257-292, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zamani Dadaneh, Dariush & Moradi, Sajad & Alizadeh, Behrooz, 2023. "Simultaneous planning of purchase orders, production, and inventory management under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 265(C).
    2. Mohammad Ebrahim Arbabian & Hossein Rikhtehgar Berenji, 2023. "Inventory systems with uncertain supplier capacity: an application to covid-19 testing," Operations Management Research, Springer, vol. 16(1), pages 324-344, March.
    3. Dariush Zamani Dadaneh & Sajad Moradi & Behrooz Alizadeh, 2024. "A stochastic chance-constraint framework for poultry planning and egg inventory management," Operations Management Research, Springer, vol. 17(4), pages 1328-1344, December.
    4. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
    5. Kimms, Alf & Drexl, Andreas, 1996. "Multi-level lot sizing: A literature survey," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 405, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. Janssen, Larissa & Diabat, Ali & Sauer, Jürgen & Herrmann, Frank, 2018. "A stochastic micro-periodic age-based inventory replenishment policy for perishable goods," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 445-465.
    7. Metzker Soares, Paula & Thevenin, Simon & Adulyasak, Yossiri & Dolgui, Alexandre, 2024. "Adaptive robust optimization for lot-sizing under yield uncertainty," European Journal of Operational Research, Elsevier, vol. 313(2), pages 513-526.
    8. Jing, Fuying & Chao, Xiangrui, 2021. "A dynamic lot size model with perishable inventory and stockout," Omega, Elsevier, vol. 103(C).
    9. Sandun C. Perera & Suresh P. Sethi, 2023. "A survey of stochastic inventory models with fixed costs: Optimality of (s, S) and (s, S)‐type policies—Discrete‐time case," Production and Operations Management, Production and Operations Management Society, vol. 32(1), pages 131-153, January.
    10. Zhong, Yuanguang & Liu, Ju & Zhou, Yong-Wu & Cao, Bin & Zheng, Xueliang, 2023. "The Role of Ambiguity Aversion in Contract-farming Supply Chains: A Distributionally Robust Approach," Omega, Elsevier, vol. 117(C).
    11. Sazvar, Z. & Mirzapour Al-e-hashem, S.M.J. & Govindan, K. & Bahli, B., 2016. "A novel mathematical model for a multi-period, multi-product optimal ordering problem considering expiry dates in a FEFO system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 232-261.
    12. Tasdemir, Cagatay & Hiziroglu, Salim, 2019. "Achieving cost efficiency through increased inventory leanness: Evidences from oriented strand board (OSB) industry," International Journal of Production Economics, Elsevier, vol. 208(C), pages 412-433.
    13. Robert L. Smith & Rachel Q. Zhang, 1998. "Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs," Management Science, INFORMS, vol. 44(9), pages 1313-1320, September.
    14. Zheng Shi & Zheng Wen, 2014. "Optimal Sales Discount Decision Model with Fixed Ordered Quantities," Journal of Systems Science and Information, De Gruyter, vol. 2(4), pages 345-357, August.
    15. Jia, Zhijie & Lin, Boqiang & Wen, Shiyan, 2022. "Electricity market Reform: The perspective of price regulation and carbon neutrality," Applied Energy, Elsevier, vol. 328(C).
    16. Melega, Gislaine Mara & Xu, Chi & Jans, Raf & Paquette, Julie, 2025. "An integrated approach for lot-sizing and storage assignment," Omega, Elsevier, vol. 131(C).
    17. Ayse Akbalik & Bernard Penz & Christophe Rapine, 2015. "Capacitated lot sizing problems with inventory bounds," Annals of Operations Research, Springer, vol. 229(1), pages 1-18, June.
    18. TELHA, Claudio & VAN VYVE, Matthieu, 2014. "Efficient approximation algorithms for the economic lot-sizing in continuous time," LIDAM Discussion Papers CORE 2014016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Rossi, Roberto & Tomasella, Maurizio & Martin-Barragan, Belen & Embley, Tim & Walsh, Christopher & Langston, Matthew, 2019. "The Dynamic Bowser Routing Problem," European Journal of Operational Research, Elsevier, vol. 275(1), pages 108-126.
    20. Wei, Mingyuan & Qi, Mingyao & Wu, Tao & Zhang, Canrong, 2019. "Distance and matching-induced search algorithm for the multi-level lot-sizing problem with substitutable bill of materials," European Journal of Operational Research, Elsevier, vol. 277(2), pages 521-541.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:130:y:2025:i:c:s0305048324001300. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.