Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 11, 17 November 2023
Open
Access | Article
Disney visitor problem: Integer optimization using enumeration method and set covering problem
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Abstract
For Disneyland visitors, a well-designed route is often necessary to experience the maximum number of preferred entertainment facilities within a limited time. To construct the best way that optimizes visitors’ satisfaction, a survey is first conducted to estimate the attraction value of each facility, followed by the collection of data that record the traveling time among each facility and the waiting line time. Using collected data and listed constraints, a possible route is listed as an example. To solve the problem, a model is constructed based on integer linear programming. The original, incomplete, and modified formulations are listed in the last part of this paper.
Keywords
Integer Linear Programming, Optimization, Disney Visitor Problem.
References
1. Traveling salesperson problem https://en.wikipedia.org/wiki/Travelling_salesman_problem
2. Some Simple Applications of the Travelling Salesman Problem J. K. Lenstra A. H. G. Rinnooy Kan Pages 717-733 | Published online: 19 Dec 2017 https://doi.org/10.1057/jors.1975.151
3. Knapsack problem https://en.wikipedia.org/wiki/Knapsack_problem
4. The nonlinear knapsack problem – algorithms and applications Kurt M Bretthauer a, Bala Shetty Received 6 June 2000, Accepted 26 April 2001, Available online 13 January 2011. https://doi.org/10.1016/S0377-2217(01)00179-5
5. The expectation-maximization algorithm T.K.Moon Published in: IEEE Signal Processing Magazine (Volume: 13, Issue: 6, November 1996) Page(s): 47 - 60 Date of Publication: November 1996
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation
- ISBN (Print)
- 978-1-83558-133-9
- ISBN (Online)
- 978-1-83558-134-6
- Published Date
- 17 November 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/11/20230377
- Copyright
- 17 November 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited