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A mathematical model for presenting an exact solution for the Green Vehicle Routing Problem (G-VRP) is developed in this paper. G-VRP is concerned with minimizing the travel distance while maintaining less emission of carbon dioxide by using alternative sources of fuel. The solution aims to aid organizations that operate a fleet of alternative fuel-powered vehicles to overcome challenges that occur due to limitation of refueling infrastructure and vehicle driving range and to help them to plan for refueling and incorporate stops at Alternative Fuel Stations (AFS) so as to eliminate the risk of running out of fuel while sustaining low cost routes. The solution of the model shows that the problem could be extended for further adoptions and techniques as discussed. [ABSTRACT FROM AUTHOR]