Rogo, a TSP-based Paper Puzzle: Optimization Approaches

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概要

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• Rogo® is a new type of mathematical puzzle, invented in 2009. Rogo is a prize-collecting subset-selection TSP on a grid. Grid squares can be blank, forbidden, or show a reward value. The object is to accumulate the biggest score using a given number of steps in a loop around the grid. This paper introduces Rogo as a discrete optimisation problem. An IP formulation is given for the problem with two alternative sets of subtour elimination constraints. Enumeration-based algorithms are also proposed based on properties of solutions and Rogo instances. Some results of computational experiments are reported.

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著者

• Dye Shane

  University of Canterbury

• Petty Nicola

  University of Canterbury

関連論文

• Rogo, a TSP-based Paper Puzzle: Optimization Approaches
• Rogo, a TSP-based Paper Puzzle: Optimization Approaches

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