Organizing a Model Base of Linear Programming Models Using Analogical Processes

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. © 1996 Wiley Periodicals, Inc.