Strategy optimization for deductive games

Shan Tai Chen, Shun Shii Lin, Li Te Huang, Sheng Hsuan Hsu

研究成果: 雜誌貢獻文章同行評審

7 引文 斯高帕斯(Scopus)


This paper presents novel algorithms for strategy optimization for deductive games. First, a k-way-branching (KWB) algorithm, taking advantage of a clustering technique, can obtain approximate results effectively. Second, a computer-aided verification algorithm, called the Pigeonhole-principle-based backtracking (PPBB) algorithm, is developed to discover the lower bound of the number of guesses required for the games. These algorithms have been successfully applied to deductive games, Mastermind and "Bulls and Cows." Experimental results show that KWB outperforms previously published approximate strategies. Furthermore, by applying the algorithms, we derive the theorem: 7 guesses are necessary and sufficient for the "Bulls and Cows" in the worst case. These results suggest strategies for other search problems.

頁(從 - 到)757-766
期刊European Journal of Operational Research
出版狀態已發佈 - 2007 十二月 1

ASJC Scopus subject areas

  • Computer Science(all)
  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management

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