Majid Heidari - Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Islamic Azad University-Qazvin Branch, Qazvin, Iran
Mohammad Javad Jafari - Department of Industrial Engineering, Faculty of Engineering, Islamic Azad University-Karaj Branch, Karaj, Iran
Misagh Rahbari - Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran

This paper addresses a multi-period, multi-vehicle, location routing problem (LRP) where capacitated vehicles distribute hazardous materials from multiple plants to multiple retailers to meet the given demand of hazardous materials. Also, the risk of location and routing, cost of transporting hazardous materials from plants to retailers is considered. A series of middle nodes is considered which if needed to reduce the risk and costs, use them. CO2 emissions from transport activities in a supply chain are key players in global warming. Routing decisions can help in the reduction of CO2 emissions if these emissions are taken into account by the decision makers. The proposed framework is a multi—objective deterministic programming model. The first objective function aims to minimize the expected value of the supply chain costs including CO2 emissions produced by the vehicles. The second objective function aims to minimize the total risk of establishing plants and risk of transportation. The demands associated with retailers is assumed to be time varying and deterministic. The proposed model is a mixed-integer linear program that was coded and solved in GAMS. We provide a numerical study showing the applicability of the model.

Location routing problem, Green supply chain, Mixed-integer linear programming, Hazardous materials;