| Dangerous goods are important raw materials for industrial production,and the road transportation volume of dangerous goods has been increasing in recent years.Due to its special physical and chemical properties,dangerous goods may cause serious consequences in the event of an accident.As a means of avoiding transportation risks,reserved lanes for the transportation of dangerous goods have gradually been applied in practice.Studying the layout of reserved lanes for the transportation of dangerous goods and designing an efficient layout scheme of special roads can guarantee the smoothness and safety of the transportation network,and can provide a certain theoretical basis for government departments to make decisions.First of all,the layout of dangerous goods transportation lane is the result of the game between the regulatory authorities and the travelers.In this paper,we consider two modes of transportation: cars and dangerous goods vehicles,and use bi level programming to describe the Stackelberg game in this case.In the bilevel programming model,the upper model optimizes the layout of lanes with the goal of minimizing the total network traffic cost,minimizing the network transportation risk and maximizing the overall utilization of lanes.In order to reduce the difficulty of obtaining the current OD matrix as the input value of the traffic assignment model,the OD matrix estimation model is added to improve the practicability of the model.Then design algorithms to solve the upper-level planning model and the lower-level planning model respectively.For the upper-level planning model,the NSGA-2 algorithm is used to solve the model.There may be redundant road sections in the solved reserved lane layout plan.An optimized solution method is proposed.The optimized reserved lane plan can be more reasonable.For the traffic flow distribution model and the OD matrix estimation model in the lower-level planning model,the Frank-Wolfe algorithm and NSGA-2 algorithm are used to solve the models.Finally,the effectiveness of the model and algorithm is verified through network analysis of examples.The research results show that the two-level planning model for reserved lanes for dangerous goods transportation designed in this paper can take into account the three goals of the lowest total network traffic cost,the least risk of network transportation,and the highest overall utilization rate of the dedicated lanes,resulting in a more reasonable reserved lane layout.Program.At the same time,the influence of the OD quantity of dangerous goods transportation and the change of traffic volume on the setting effect of the dedicated lanes is analyzed,and it is found that:(1)When the OD quantity of dangerous goods transportation increases,the original dedicated lane layout plan can still achieve a certain risk control effect.In order to achieve the best dedicated lane setting effect,a reserved lane can be added on the basis of the original plan.(2)With the increase in the traffic volume of dangerous goods transportation,the reserved lane scheme can still achieve a better setting effect,and the range of changes with the traffic volume is small. |