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Tocher's Principle of Modelling: Practical Significance and Mathematical Implications

 

作者: ScheurerT.,  

 

期刊: Journal of the Operational Research Society  (Taylor Available online 1984)
卷期: Volume 35, issue 3  

页码: 195-207

 

ISSN:0160-5682

 

年代: 1984

 

DOI:10.1057/jors.1984.41

 

出版商: Taylor&Francis

 

关键词: system of equations;sparse system;underdetermined system;structural analysis;interactive modelling;modelling system

 

数据来源: Taylor

 

摘要:

AbstractThis paper describes an important principle of modelling put forward by the late K. D. Tocher, namely that a clear distinction should be made between asystemmodelled andproblemsabout the system. An example illustrates the many differentpracticalproblems one may be led to solve about a given economic system, e.g. an industrial firm. The example also shows that problems often result from thesolutionsto other problems, and thus cannot all be simultaneously anticipated. This suggests the need for a modelling system which, given a model of a system, may be used to solve any problem about the system.The overall problem can be described as that of solving an underdetermined system of equations. The precise meaning of the problem is defined for the case of sparse systems. Finally, the main features of a computer program based on Tocher's philosopy are outlined.

 

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