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- W6124650 abstract "Reformulation is one of the most useful and widespread activities in mathematical modeling, in that finding a “good” formulation is a fundamental step in being able so solve a given problem. Currently, this is almost exclusively a human activity, with next to no support from modeling and solution tools. In this paper we show how the reformulation system defined in [13] allows to automatize the task of exploring the formulation space of a problem, using a specific example (the Hyperplane Clustering Problem). This nonlinear problem admits a large number of both linear and nonlinear formulations, which can all be generated by defining a relatively small set of general Atomic Reformulation Rules (ARR). These rules are not problem-specific, and could be used to reformulate many other problems, thus showing that a general-purpose reformulation system based on the ideas developed in [13] could be feasible." @default.
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- W6124650 date "2011-01-01" @default.
- W6124650 modified "2023-09-23" @default.
- W6124650 title "Transforming Mathematical Models Using Declarative Reformulation Rules" @default.
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- W6124650 doi "https://doi.org/10.1007/978-3-642-25566-3_30" @default.
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