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A Bi-Level Programming Model for the Integrated Problem of Low Carbon Supplier Selection and Transportation

Author

Listed:
  • Hongli Zhu

    (School of Business Administration, Shandong Technology and Business University, Yantai 264005, China)

  • Congcong Liu

    (School of Electrical Engineering, Shandong University, Jinan 250061, China)

  • Yongming Song

    (School of Business Administration, Shandong Technology and Business University, Yantai 264005, China)

Abstract

In this paper, we investigate an integrated problem of low-carbon supplier selection and transportation. The supplier selection decision depends on the location and energy consumption level of batching plants at the manufacturing stage. Meanwhile, ready-mixed concrete is allocated and delivered to construction sites by concrete mixer trucks at the transportation stage. A bi-level programming model for the integrated problem is established. The bi-level optimization problem is transformed into a single-level problem by KKT (Karush–Kuhn–Tucker) optimality conditions. In order to validate the proposed model, a case study is conducted based on real-world problems. Experimental results show that the proposed method efficiently solves the integrated problem and the model can not only reduce carbon emissions but also optimize transportation time.

Suggested Citation

  • Hongli Zhu & Congcong Liu & Yongming Song, 2022. "A Bi-Level Programming Model for the Integrated Problem of Low Carbon Supplier Selection and Transportation," Sustainability, MDPI, vol. 14(16), pages 1-11, August.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:16:p:10446-:d:894744
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    References listed on IDEAS

    as
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