Flexible, Rule-Based Constraint Model Linearisation

Sebastian Brand 1, 2 Gregory Duck 1, 2 Jakob Puchinger 2, 1 Peter Stuckey 2, 1
1 University of Melbourne
2 NICTA - National ICT Australia [Sydney]
Abstract : Nonlinear constraint satisfaction or optimisation models need to be reduced to equivalent linear forms before they can be solved by (Integer) Linear Programming solvers. A choice of linearisation methods exist. There are generic linearisations and constraint-specific, user-defined linearisations. Hence a model reformulation system needs to be flexible and open to allow complex and novel linearisations to be specified. In this paper we show how the declarative model reformulation system Cadmium can be used to effectively transform constraint problems to different linearisations, allowing easy exploration of linearisation possibilities.
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Practical Aspects of Declarative Languages, 10th International Symposium, PADL 2008, Jan 2008, San Francisco, United States. Lecture Notes in Computer Science, 4902, pp.Pages 68-83, 2008, Practical Aspects of Declarative Languages. 〈10.1007/978-3-540-77442-6_6〉
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Sebastian Brand, Gregory Duck, Jakob Puchinger, Peter Stuckey. Flexible, Rule-Based Constraint Model Linearisation. Practical Aspects of Declarative Languages, 10th International Symposium, PADL 2008, Jan 2008, San Francisco, United States. Lecture Notes in Computer Science, 4902, pp.Pages 68-83, 2008, Practical Aspects of Declarative Languages. 〈10.1007/978-3-540-77442-6_6〉. 〈hal-01301576〉

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