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The Computer Journal Advance Access published online on June 20, 2006
The Computer Journal, doi:10.1093/comjnl/bxl033
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© The Author 2006. Published by Oxford University Press on behalf of The British Computer Society. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org
Received July 15, 2005
Revised March 14, 2006

Article

Solving Rummikub Problems by Integer Linear Programming

D. den Hertog 1 * and P. B. Hulshof 2

1 Tilburg University, PO Box 90153, 5000 LE Tilburg, The Netherlands
2 Dianapad 17, 5042 LM Tilburg The Netherlands

* To whom correspondence should be addressed.
D. den Hertog, E-mail: D.denHertog{at}uvt.nl


  Abstract

The Rummikub problem of finding the maximal number or value of the tiles that can be placed from your rack onto the table is very difficult, since the number of possible combinations are enormous. We show that this problem can be modeled as an integer linear programming problem. In this way solutions can be found in 1 s. We extend the model such that unnecessary changes of the existing sets on the table are minimized.

Keywords: Rummikub; game; integer linear programming.
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