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Article

A Multi-Objective Nonlinear Optimization Approach for Sustainable Tourism Planning: A Case Study of Juneau, Alaska

1
College of Information Science and Technology, Shihezi University, Shihezi 832003, China
2
School of Artificial Intelligence, Jilin University, Changchun 130012, China
3
College of Materials Science and Engineering, Taiyuan University of Technology, Taiyuan 030024, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Sustainability 2026, 18(1), 327; https://doi.org/10.3390/su18010327
Submission received: 28 November 2025 / Revised: 18 December 2025 / Accepted: 19 December 2025 / Published: 29 December 2025

Abstract

Overtourism poses severe challenges to environmental sustainability and infrastructure resilience. This study proposes a multi-objective nonlinear optimization model to support sustainable tourism planning, with Juneau, Alaska, as a case study. The model aims to maximize tourism revenue and tax income while minimizing carbon emissions and infrastructure costs. By constructing several sub-models, the interrelationships among these variables are revealed. A genetic algorithm is employed to obtain optimal strategies under constraints of tourist capacity, tax rate limits, emission thresholds, and cost feasibility. The results indicate that when the annual number of tourists reaches 1.96 million and the tax rate is set at 0.198, the overall benefits are maximized. Sensitivity analysis demonstrates that tourist numbers exert the greatest influence on sustainability outcomes. Furthermore, the model is applied to Venice and Kodiak to examine its generalizability and regional adaptability. The findings show that targeted adjustments to tax rates and tourist distribution can effectively balance economic and environmental objectives across different tourism contexts.
Keywords: multi-objective optimization; genetic algorithm; nonlinear modeling; sustainable tourism; computational decision-making multi-objective optimization; genetic algorithm; nonlinear modeling; sustainable tourism; computational decision-making

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MDPI and ACS Style

Xu, Z.; Xu, X.; Pan, W.; Wang, N.; Qiu, K.; Liu, R.; Chen, C.; Qin, H. A Multi-Objective Nonlinear Optimization Approach for Sustainable Tourism Planning: A Case Study of Juneau, Alaska. Sustainability 2026, 18, 327. https://doi.org/10.3390/su18010327

AMA Style

Xu Z, Xu X, Pan W, Wang N, Qiu K, Liu R, Chen C, Qin H. A Multi-Objective Nonlinear Optimization Approach for Sustainable Tourism Planning: A Case Study of Juneau, Alaska. Sustainability. 2026; 18(1):327. https://doi.org/10.3390/su18010327

Chicago/Turabian Style

Xu, Zhejie, Xiaohui Xu, Wenjing Pan, Na Wang, Keyuan Qiu, Ruru Liu, Chao Chen, and Huaibin Qin. 2026. "A Multi-Objective Nonlinear Optimization Approach for Sustainable Tourism Planning: A Case Study of Juneau, Alaska" Sustainability 18, no. 1: 327. https://doi.org/10.3390/su18010327

APA Style

Xu, Z., Xu, X., Pan, W., Wang, N., Qiu, K., Liu, R., Chen, C., & Qin, H. (2026). A Multi-Objective Nonlinear Optimization Approach for Sustainable Tourism Planning: A Case Study of Juneau, Alaska. Sustainability, 18(1), 327. https://doi.org/10.3390/su18010327

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