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

Hongli Zhu (), Congcong Liu and Yongming Song
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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

Sustainability, 2022, vol. 14, issue 16, 1-11

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.

Keywords: bi-level programming; low carbon; integrated problem (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
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