Sustainable Tourism Management Research Based on Dynamic Programming and Analytic Hierarchy Process

Abstract

This paper addresses the environmental protection and sustainable development issues of Juneau and the Great Barrier Reef in Australia. Static and dynamic programming models are established, and the Analytic Hierarchy Process to obtain quantifiable results for evaluating tourism and sustainable development indicators, and proposes expenditure allocation strategies. This research has developed a comprehensive framework for sustainable tourism management in Juneau, Alaska, using static optimization, dynamic programming, and the Analytic Hierarchy Process. The models balance economic growth with environmental and social sustainability, providing key insights and practical recommendations. The static model suggests an optimal tourist number of 2,000,000, while the dynamic model recommends allocating 15 million $ for nature conservation and raising the tax rate to 15%. The AHP evaluates Juneau’s tourism planning, concluding a medium sustainability level with an SDI of 0.5681 for 2024. Future work will extend these models to include carbon footprint reduction and apply them to other destinations. This study underscores the importance of balanced tourism management for long-term sustainability.