MAGIC: The design and use of an interactive modelling language for mathematical programming

Day, R. E. & Williams, H. P. (1986). MAGIC: The design and use of an interactive modelling language for mathematical programming. IMA Journal of Management Mathematics, 1(1), 53-65. https://doi.org/10.1093/imaman/1.1.53
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The desirability of computer aids for the building as well as the solving of Mathematical Programming models is argued. A short survey is given of some of the distinct approaches possible in designing matrix generators/languages for such a role. It is then suggested that the approach most suited to general models is to design a language close to widely used mathematical notation. The facilities needed in such a language are discussed and the implementation using the MAGIC (MAtrix Generator Instruction Convertor) language described.

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