基于Geom/Geom/1/c排队的到港容量研究

Research on arrival capacity based on geom/Geom/1/c

针对到港航班出现的延误现象,提出了一种新的流量模型.该模型利用Geom/Geom/1排队系统,通过分析转移概率矩阵的平稳分布,建立航班到港容量的数学表达式,并形成数学模型.基于该数学模型,推导了航班的等待时间期望.作为实际案例,结合实际航班运行情况进行仿真,研究了到港容量与机场服务率之间的关系,仿真结果近于实际结果,表明该模型具有较好地适应性及准确性.

Against the delay of the arrival flights, we propose a new flow model. The model is built based on a Geom/Geom/1 queuing system so as to construct the capacity of mathematical expressions and to derive the av- erage waiting time of flights by analyzing the transition probability matrix of the stationary distribution. Stud- ying the relationship between the arrival capacity and the airport service rate on the basis of the simulation of actual flight shows that the model has good adaptability.