Tourism sustainable development model based on dynamic programming algorithm

Juneau, Alaska, USA is an important tourist city. Along with the growth of the number of tourists, the development of local tourism has created certain problems. There is an urgent need to carry out sustainable development and nature protection for local tourism. Therefore, it is of great significance to establish a sustainable mathematical model of tourism and predict the local economic returns, adjust the relevant factors, and give the corresponding optimization scheme. In this study, a multi-objective dynamic planning model is established to integrate the elements of tourism economic returns, tourist scale, environmental quality, and construction investment. Based on the instantaneous prediction technology of state vector, the state transition equation is constructed with the constraints of tourist volume, profit and ticket price. The analytic hierarchy process-entropy weight combination method is used to determine the weight of factors and predict the evolution trend of the system in the future years. The sensitivity analysis is carried out by combining with Monte Carlo algorithm to assess the impact of fluctuations of key parameters on the stability of the system, to reduce the deviation between theoretical prediction and actual demand effectively.