Optimal Bus Schedule Based On Passenger Satisfaction

With "green travel" advocating, more and more people travel by bus and subway, which makes waiting passengers increasing. As bus companies are service industry, considering passenger satisfaction to determine a reasonable headway is so very necessary. Bus travel time between sites is often random variation, making passenger waiting time fluctuations, affecting passenger satisfaction. Firstly, the paper considers the passengers waiting to leave on their own after a certain time and generate dissatisfaction; the bus travel time stochastic volatility combined with the modeling of passenger satisfaction for bus departure interval is optimized. Using optimal conditions, this paper obtains the structure properties of optimal bus passenger satisfaction based on interval. After the model is deepening, to characterize the passengers satisfaction using expected utility theory, so that more practical express passenger waiting psychology.Therefore, this paper combines one of the bus lines-56road in the Chengdu to discussion and analysis, a detailed study of the bus scheduling optimization of passenger satisfaction is considered.First, using the time node to describe the passenger waiting-time, passenger waiting time exceeds the time node, they will choose to leave. The passengers and bus arrival at the site randomly, hence the description of passengers’satisfaction is random. Relationship model uses this expression, which combines passenger satisfaction, departure interval with the bus company benefits. At the same time, the paper also considers the cost of losses.Next, on the theoretical analysis of the model, it is proved that the model has the optimal interval. Combined with the actual data to calculate the corresponding optimal value, the paper also provides the simulation results. One-dimensional search and simulated by MATLAB, for the first model considering the passenger satisfaction, real results in a single site model approximation and Simulation is24minutes; The sites simulation optimization of headway is8minutes. Due to the single site and the site condition of optimal departure interval is relatively different, this paper analyzes the impact of the number of stations on the optimal headway. At the same time, this paper also studies the influence of other important variables in the model on the departure interval and total net income. The arrival rate of more optimal departure interval is smaller, the more total net income; Bus travel time in the variance between two sites is more large, the smaller obtained optimal departure interval and total net income are.Later, the paper makes the passenger satisfaction deepening. We describe the passengers using expected utility theory in satisfaction; making the passenger satisfaction description is more specific and practical.In the end, we establish bus scheduling model with passenger satisfaction, from the risk of loss and expected utility theory to consider passenger satisfaction.We set up:bus travel time for considering bus departure interval model of passenger satisfaction of the fixed value in between two sites, and bus travel time to wait for the utility model is a random variable when the passengers at two sites. At the same time, we give a theoretical analysis of the model, which shows that the two order derivative of the first objective function is less than zero, i.e. the existence of the optimal interval that in considering the passenger satisfaction conditions, the bus company’s total net income is the most. At the same time, we calculate the first-order difference for the second model, that with the increase of headway, the reduce passenger utility. The paper also combines the expected utility theory to describe the bus optimization model of passenger satisfaction, obtained in a single site in case of optimal departure interval is26minutes.