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Article (Journal or Newsletter)

Scholarship Type

Faculty Scholarship, Student Scholarship

Publication Date



The problem of efficiently touring a theme park so as to minimize the amount of time spent in queues is an instance of the Traveling Salesman Problem with Time-Dependent Service Times (TSP-TS). In this paper, we present a mixed-integer linear programming formulation of the TSP-TS and describe a branch-and-cut algorithm based on this model. In addition, we develop a lower bound for the TSP-TS and describe two metaheuristic approaches for obtaining good quality solutions: a genetic algorithm and a tabu search algorithm. Using test instances motivated by actual theme park data, we conduct a computational study to compare the effectiveness of our algorithms.


Open access publication of this article was supported by the Furman University Libraries Open Access Fund.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

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Mathematics Commons



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