Green transportation scheduling with speed control: trade-off between total transportation cost and carbon emission

•proposed a new model for transportation scheduling and driver assignment,•provided an efficient constructive heuristic for the problem,•presented the concept of speed control in the problem,•Analysis the conflict between total transportation costs and carbon emission,•Discussed the green concept in transportation.

Transportation has a significant portion in greenhouse gas emission. Efficient transportation scheduling can decrease transportation costs and environmental damages by reducing fuel consumption and greenhouse gas emission. These advantages have made green transportation scheduling more attractive. This paper addresses the problem of integrated green truck transportation scheduling and driver assignment. We propose a bi-objective mixed integer nonlinear programming (MINLP) model to minimize total transportation-related costs (TTC) and total carbon emission (TCE). We consider TTC and TCE as manufacturer measure and environmental sustainability measure respectively. There is a contradiction between two objectives. We consider the ability of speed control for trucks to create the trade-off between TTC and TCE. A linearization technique is utilized to reduce the complexity of the proposed model. The Augmented ε-constraint method is used to solve the model. Also, we develop a constructive heuristic (CH) approach to get high-quality solutions in an efficient CPU time. Some scenarios are applied to evaluate the model and heuristic approach. The results show the model achieves high-quality solutions in reasonable time. Also, the model and heuristic have a better performance compared to scenarios. Statistical tests are done to approve the comparisons.