A note on bi-objective optimization for sustainable supply chain network design in omnichannel
Journal of Manufacturing Technology Management
ISSN: 1741-038X
Article publication date: 23 December 2021
Issue publication date: 22 September 2022
Abstract
Purpose
This paper aims to correct the existing mixed integer programming (MIP) model proposed by Yadav et al. (2019) [“Bi-objective optimization for sustainable supply chain network design in omnichannel.”, Journal of Manufacturing Technology Management, Vol. 30 No. 6, pp. 972–986].
Design/methodology/approach
This paper first presents a counterexample to show that the existing MIP model is incorrect and then proposes an improved mixed integer linear programming (MILP) model for the considered problem. Last, a numerical experiment is conducted to test our improved MILP model.
Findings
This paper demonstrates that the formulations of the facility capacity constraints and the product flow balance constraints in the existing MIP model are incorrect and incomplete. Due to this reason, infeasible solutions could be identified as feasible ones by the existing MIP model. Hence, the optimal solution obtained with the existing MIP model could be infeasible. A counter-example is used to verify our observations. Computational results verify the effectiveness of our improved MILP model.
Originality/value
This paper gives a complete and correct formulation of the facility capacity constraints and the product flow balance constraints, and conducts other improvements on the existing MIP model. The improved MILP model can be easily implemented and would help companies to have more effective distribution networks under the omnichannel environment.
Keywords
Acknowledgements
Disclosure statement. The authors declare no conflict of interest.
The authors are very thankful to the three anonymous referees whose constructive suggestions have improved the technical accuracy and presentation of this paper. This work was partially supported by the National Natural Science Foundation of China (71971044, 72091213 and 61902039), the Major Program of National Social Science Foundation of China (20&ZD084), the Humanity and Social Science Youth Foundation of Ministry of Education of China (19YJC630069), the Natural Science Basic Research Plan in Shaanxi Province of China (2020JQ-759), the China Postdoctoral Science Foundation (2017M623331XB) and the Postdoctoral Science Foundation in Shaanxi Province of China (2018BSHEDZZ87).
Citation
Lei, W., Ke, D., Yan, P., Zhang, J. and Li, J. (2022), "A note on bi-objective optimization for sustainable supply chain network design in omnichannel", Journal of Manufacturing Technology Management, Vol. 33 No. 7, pp. 1369-1383. https://doi.org/10.1108/JMTM-04-2021-0159
Publisher
:Emerald Publishing Limited
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