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Organizing a Model Base of Linear Programming Models Using Analogical Processes

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  • Ruth Schwartz
  • Frederic Murphy

Abstract

This paper describes the role of cognitive psychology in developing model‐formulation skills. The cognitive psychology description of analogy construction to a representation of the model‐formulation process includes both a problem template and a model template. This research includes the design and prototype implementation of a knowledge‐based system that uses analogical reasoning to assist modelers as they build linear programs. Incorporated into the design is a library of models and problems that link those models to their potential uses. This design uses a taxonomy based on deep and situational knowledge to link a problem description with a formulation. This taxonomy begins to address the skills needed for various levels of mathematical modeling.

Suggested Citation

  • Ruth Schwartz & Frederic Murphy, 1996. "Organizing a Model Base of Linear Programming Models Using Analogical Processes," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 5(4), pages 217-228, December.
    • Handle: RePEc:wly:isacfm:v:5:y:1996:i:4:p:217-228
    DOI: 10.1002/(SICI)1099-1174(199612)5:43.0.CO;2-9
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    References listed on IDEAS

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    1. Frederic H. Murphy & Edward A. Stohr & Pai-Chun Ma, 1992. "Composition Rules for Building Linear Programming Models from Component Models," Management Science, INFORMS, vol. 38(7), pages 948-963, July.
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    4. Arthur M. Geoffrion, 1991. "FW/SM: A Prototype Structured Modeling Environment," Management Science, INFORMS, vol. 37(12), pages 1513-1538, December.
    5. Arthur M. Geoffrion, 1992. "The SML Language for Structured Modeling: Levels 3 and 4," Operations Research, INFORMS, vol. 40(1), pages 58-75, February.
    6. Arthur M. Geoffrion, 1992. "The SML Language for Structured Modeling: Levels 1 and 2," Operations Research, INFORMS, vol. 40(1), pages 38-57, February.
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