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Logistics-client stable matching under 4PL to reduce the empty-loaded rate
Jian Jiang1, Jie Li2, Boyuan Xia2
1School of Computer and Electrical Engineering, Hunan University of Arts and Science, Changde, China.
Plos One
|March 19, 2025
Summary
This study introduces a fourth-party logistics (4PL) matching model to reduce empty logistics vehicle trips. The proposed stable matching model significantly decreases the empty-loaded rate, optimizing resource utilization.
Area of Science:
- Operations Research
- Supply Chain Management
- Industrial Engineering
Background:
- The logistics industry, a key tertiary sector, faces significant resource wastage due to empty return trips.
- Current logistics patterns result in approximately 50% of delivery resources being underutilized during return journeys.
- Addressing the empty-loaded rate is crucial for economic efficiency and sustainability in logistics.
Purpose of the Study:
- To develop and validate a logistics-client matching model under a fourth-party logistics (4PL) framework.
- To minimize the empty-loaded rate of logistics vehicles.
- To enhance the fairness and efficiency of logistics resource allocation.
Main Methods:
- Construction of a preference calculation model between logistics providers and clients.
- Development of a linear one-to-one stable matching model for small-quantity clients, based on the stable marriage problem.
- Creation of a linear many-to-one stable matching model for large-quantity clients, incorporating a novel many-to-one stable matching constraint.
- Validation through case studies demonstrating large-scale and global optimization capabilities.
Main Results:
- The proposed stable matching model effectively reduces the empty-loaded rate of logistics vehicles.
- The model demonstrates superior performance compared to ordinary matching models in reducing empty trips.
- Case studies confirmed the model's capability for large-scale and global optimization.
- The matching solutions generated by the model were found to be fairer for all parties involved.
Conclusions:
- The developed 4PL stable matching model offers a viable solution to the persistent problem of empty-loaded return trips in logistics.
- The model enhances operational efficiency and resource optimization within the logistics sector.
- The approach provides a fairer and more equitable distribution of logistics services and resources.
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