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Published on 17 November 2023
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Lin,L.;Aika,K. (2023). Disney visitor problem: Integer optimization using enumeration method and set covering problem. Theoretical and Natural Science,11,29-35.
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Disney visitor problem: Integer optimization using enumeration method and set covering problem

Ludwig Lin *,1, Kajiwara Aika 2
  • 1 Shanghai Yangpu Bilingual School
  • 2 Suzhou Foreign Language School

* Author to whom correspondence should be addressed.

https://doi.org/10.54254/2753-8818/11/20230377

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.

[1]. Traveling salesperson problem https://en.wikipedia.org/wiki/Travelling_salesman_problem

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[3]. Knapsack problem https://en.wikipedia.org/wiki/Knapsack_problem

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[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

Cite this article

Lin,L.;Aika,K. (2023). Disney visitor problem: Integer optimization using enumeration method and set covering problem. Theoretical and Natural Science,11,29-35.

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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About volume

Volume title: Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation

Conference website: https://www.confmpcs.org/
ISBN:978-1-83558-133-9(Print) / 978-1-83558-134-6(Online)
Conference date: 12 August 2023
Editor:Roman Bauer
Series: Theoretical and Natural Science
Volume number: Vol.11
ISSN:2753-8818(Print) / 2753-8826(Online)

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