Multi-modal and multi-route transportation problem for hazardous materials under uncertainty

ABSTRACT

In this article, the multi-modal and multi-route transportation problem for hazardous materials under uncertainty is studied, and an interval 0–1 integer programming model is proposed to optimize the transportation risks and transportation costs during the transportation of hazardous materials. Factors such as freight rates and loading and unloading costs are different when the transportation modes, transportation time and transportation areas are different. Therefore, some parameters in the model are assumed as interval numbers. The proposed model is transformed to a deterministic model by the interval ranking method. In addition, a genetic algorithm is proposed to solve the model. Finally, a real-world case of the multi-modal and multi-route transportation problem for hazardous materials under uncertainty is studied to demonstrate the rationality and effectiveness of proposed model and algorithm.

KEYWORDS:

• Uncertainty
• hazardous materials
• multi-modal multi-route optimization
• genetic algorithm

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the Research Foundation of the State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, China [grant numbers RCS2019ZT003 and RCS2019ZZ001].