Document Type
Article (Journal or Newsletter)
Scholarship Type
Faculty Scholarship, Student Scholarship
Publication Date
10-16-2018
Abstract
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.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Elizabeth L. Bouzarth, Richard J. Forrester, Kevin R. Hutson, Rahul Isaac, James Midkiff, Danny Rivers, Leonard J. Testa, "A Comparison of Algorithms for Finding an Efficient Theme Park Tour", Journal of Applied Mathematics, vol. 2018, Article ID 2453185, 14 pages, 2018. https://doi.org/10.1155/2018/2453185
Comments
Open access publication of this article was supported by the Furman University Libraries Open Access Fund.