Mathematical Modeling of Service Quality Impact on Tourist Revisit Intentions in Rajasthan: A Statistical Approach

This study investigates the influence of service quality on tourist revisit intentions in the culturally rich state of Rajasthan, India, employing a comprehensive statistical and mathematical modeling approach. As the tourism sector increasingly drives economic growth and cultural exchange, understanding the factors that encourage revisits is essential for sustainable tourism development. This paper develops a predictive framework that integrates service quality dimensions with revisit intentions, utilizing data collected from tourists across key destinations such as Jaipur, Udaipur, and Jodhpur. Using a structured questionnaire, the study gathers perceptions of service quality based on the SERVQUAL model, which includes tangibles, reliability, responsiveness, assurance, and empathy. The data undergo rigorous statistical analysis, employing multivariate techniques such as factor analysis to refine the service quality dimensions and structural equation modeling (SEM) to explore the causal relationships between service quality and revisit intentions. The study uniquely applies a mixed-effects model to account for the variability across different cities and tourist experiences, enhancing the generalizability of the findings. Findings suggest that among the service quality dimensions, 'assurance' and 'empathy' have the most significant impact on revisit intentions, indicating that trust and emotional connection are crucial for repeat tourism. The paper discusses the implications of these results for tourism marketers and policymakers, emphasizing targeted strategies to enhance customer satisfaction and loyalty. Additionally, the study contributes to the existing literature by validating the applicability of the SERVQUAL model in the context of Rajasthan's tourism industry and expanding it through mathematical modeling techniques. This research not only aids in theoretical advancements in tourism studies but also provides practical insights for improving service quality to boost Rajasthan's appeal as a repeat tourist destination.