公交车上车人数状况及其收入分析的一个数学模型

提出了一个反映城市公交车在运行过程中上车人数的基本状况及其收入情况的数学模型。首先，以昆明市运行状况较好的某条公交车线路作为对象，在抽样调查上车人数的基础上，我们将一天的运行时间划分为四段，每个时间段内的上车人数近似于服从正态分布。其次，通过对数据进行统计分析，给出了每个时间段内的上车人数分布的密度函数。最后，得到了该公交线路在每个时间段内的平均收入，一天的和一个月的总平均收入，结果与公交车公司的实际收入比较是相符合的。

A mathematical model for the status of number of passengers who get on a route of city buses and the income of the bus company

A mathematical model is present for knowing well the basic status of number of passengers who get on buses in a route of city bus and the income of the bus company,At first,a route of Kunming city's buses that have a good running status is chosen as our object of sampling investigation.Based on the data gained through investigation,a whole buses' running day is divided into four time intervals on which the number of the passengers who get on city buses obey normal distribution approximately.Then,the density function of the distribution is given for the number of the persons who get on city buses on each time interval.Finally,the average incomes of each running bus on each time interval,of every day and of a month are estimated.The results are in accord with the bus company.