Abstract
The transportation of hazardous material involves the movement of freight representing a high risk to health, safety, and the environment. Due to its nature, hazardous material transportation is regulated by strict laws and must be treated separately from classical transportation. This study addresses road transportation of hazardous materials as a variant of the hazmat vehicle routing and scheduling problem with time windows. The model incorporates a multi-criteria risk measure, balancing factors such as accident probability, population density, distance from fire stations, and traffic conditions, while considering time-dependent travel times divided into distinct time zones. The problem is formulated as a three-objective optimization model to minimize total risk, arrival time, and vehicle cost. A late acceptance hill-climbing heuristic is introduced to obtain feasible solutions. Computational experiments on test instances demonstrate the heuristic's efficiency and its ability to generate high-quality solutions in reduced execution times. Subsequently, the heuristic is applied to a case study on a Northern Italy road network involving the transportation of compressed oxygen by a logistics operator, providing actionable managerial insights.
| Original language | English |
|---|---|
| Article number | 107228 |
| Number of pages | 17 |
| Journal | Computers and Operations Research |
| Volume | 184 |
| Early online date | 6 Aug 2025 |
| DOIs | |
| Publication status | Published - 31 Dec 2025 |
Data Availability Statement
Data will be made available on request.Funding
The work of Annarita De Maio was partly supported by the Italian University and Research Ministry , under the grant H25F21001230004 . The work of Francesca Vocaturo was partly supported by “ULTRA OPTYMAL – Urban Logistics and sustainable TRAnsportation: OPtimization under uncertainTY and MAchine Learning”, a PRIN 2020 project funded by the Italian University and Research Ministry (number: 20207C8T9M ). These supports are gratefully acknowledged. The authors thank the referees for their valuable comments.
| Funders | Funder number |
|---|---|
| Italian University and Research Ministry | 20207C8T9M, H25F21001230004 |
Keywords
- Freight transportation
- Hazardous material
- Late acceptance hill-climbing heuristics
- Multi-objective optimization
- Risk assessment
- Time-dependent travel time
ASJC Scopus subject areas
- General Computer Science
- Modelling and Simulation
- Management Science and Operations Research
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