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Puzzle—More Logic Puzzle Apps Solved by Mathematical Programming

Author

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  • Sönke Hartmann

    (HSBA Hamburg School of Business Administration, D-20457 Hamburg, Germany)

Abstract

This paper considers six logic puzzles (i.e., single-player games) that are available as smartphone apps—namely Starbattle, V3ck, Monodot, Knight Moves, Circuit Scramble, and Binary Sudoku. For each puzzle, an integer linear programming formulation is presented (a MathProg implementation is available as well). The purpose is to provide interesting examples and exercises for teaching mathematical programming in operations research and management science lectures. The puzzles lead to a broad variety of exercises, ranging from graph models to specific constraint types such as logical and inequality constraints.

Suggested Citation

  • Sönke Hartmann, 2019. "Puzzle—More Logic Puzzle Apps Solved by Mathematical Programming," INFORMS Transactions on Education, INFORMS, vol. 20(1), pages 49-55, September.
    • Handle: RePEc:inm:orited:v:20:y:2019:i:1:p:49-55
    DOI: 10.1287/ited.2019.0212
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    References listed on IDEAS

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    1. Craig Letavec & John Ruggiero, 2002. "The n -Queens Problem," INFORMS Transactions on Education, INFORMS, vol. 2(3), pages 101-103, May.
    2. Martin J. Chlond & Cath M. Toase, 2002. "IP Modeling of Chessboard Placements and Related Puzzles," INFORMS Transactions on Education, INFORMS, vol. 2(2), pages 1-11, January.
    3. Howard J. Weiss & Rasmus A. Rasmussen, 2007. "Lessons from Modeling Sudoku in Excel," INFORMS Transactions on Education, INFORMS, vol. 7(2), pages 178-184, January.
    4. Rasmus A. Rasmussen & Howard J. Weiss, 2007. "Advanced Lessons on the Craft of Optimization Modeling Based on Modeling Sudoku in Excel," INFORMS Transactions on Education, INFORMS, vol. 7(3), pages 228-237, May.
    5. Martin J. Chlond, 2005. "Classroom Exercises in IP Modeling: Su Doku and the Log Pile," INFORMS Transactions on Education, INFORMS, vol. 5(2), pages 77-79, January.
    6. SönkeHartmann, 2018. "Puzzle—Solving Smartphone Puzzle Apps by Mathematical Programming," INFORMS Transactions on Education, INFORMS, vol. 18(2), pages 127-141, January.
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    Cited by:

    1. Mehdi Iranpoor, 2021. "Knights Exchange Puzzle—Teaching the Efficiency of Modeling," INFORMS Transactions on Education, INFORMS, vol. 22(1), pages 108-114, January.

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    Keywords

    puzzle; teaching modeling;

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