基于排队论的服务区加油区合理用地规模计算

Calculation of Reasonable Scale of Filling Space in Service Area Based on Queuing Theory

为满足当前高速公路各类型车辆加油需求,解决各类型车辆等待加油时间过长等问题。选取主线驶入量、不同车型加油率及不同车型加油周转率等参数,基于排队论建立了加油区排队系统模型,确定了其系统在平稳分布下加油车辆平均逗留时间、服务强度及平均排队加油车辆数均值之间的关系;考虑排队车辆容忍等待时间少于加油车辆平均逗留时间的条件约束,通过对排队车辆调查,进而得出加油区合理用地规模。以大广高速衡大段威县服务区为例,计算得出加油区的用地量。结果表明:考虑不同车型加油率的加油区用地规模计算能有效协调并减少各类车型等待加油时间。

The main of tlie paper is to satisfy the gas d e m a n d for diferent types of vehicles on the expressway,and solve the problems in taking excessive time to gas u p. Choosing the parameters of amount of entrance in the mainline,the rates of filling and turnover for diferent types of vehicles queuing system model of filling space is founded based on queuing theory. U n d e r stable distribution,this model confirms the relationship between fillingvehicles’ average layover time as well as service intensity and average n u m b e r of the filling the tolerance of waiting time is less than the average waiting time for filling vehicles,Thrfilling vehicles in queue,the reasonable scale of filling space is calculated. Taking the Weixian （ located in the sec-tion from Hengsliui to Daming,D a g u a n g expressway,stretching from Daqing to G u a nample, the filling space was calculated based on queuing theor . A s is shown from in filling space which considers different types of vehicles’ fillingrates can effectively coordinate and reducevehicles’ waiting time.