AN INTEGER PROGRAMMING FORMULATION FOR THE FUTOSHIKI PUZZLE
This paper is concerned with the problem of solving the Futoshiki puzzle. The Futoshiki, also known as “Unequal,” is a puzzle with an n × n grid containing inequality signs between the cells. Some digits may have been given at the beginning of the game. The aim is to fill in the empty cells so that each row and column contains the digits ‘1’ to ‘n’ without repeats. We have formulated an integer linear programming model to solve this problem. An illustrative example is given to show the validity of the model. The computational results are obtained and analyzed on some instances.
Anahtar Kelimeler:
Puzzle, Fuhoshiki, Mathematical Formulation, Integer Programming Model
AN INTEGER PROGRAMMING FORMULATION FOR THE FUTOSHIKI PUZZLE
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- ISSN: 2148-3493
- Yayın Aralığı: Yıllık
- Başlangıç: 2013
- Yayıncı: Gökhan ÖZER
Sayıdaki Diğer Makaleler
Murat ÖZCAN, Ali GÜLDEMİR, Mehmet GÜNLÜK
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ѕarbaѕt ѕattar ЅALЕH, Serhan GÜRKAN
Betül KARABIYIK, M. Emin AKKILIÇ
AN INTEGER PROGRAMMING FORMULATION FOR THE FUTOSHIKI PUZZLE
ÇEVRE VE MUHASEBE ARASINDAKİ İLİŞKİ: LİTERATÜRE DAYALI BİR ARAŞTIRMA