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A natural language discourse model to explain linear programming models and solutions
Authors:Harvey J. Greenberg
Affiliation:1. Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA, 90095-1592, USA;2. Department of Electrical and Computer Engineering, University of California, Los Angeles, CA 90095-1592, USA;1. McKetta Department of Chemical Engineering, The University of Texas at Austin, Austin, TX 78712, United States;2. Smart Operations–Praxair Digital, Praxair, Inc., Tonawanda, NY 14150, United States
Abstract:This paper presents a natural language (i.e., English) discourse model to explain a linear programming model and, possibly, its computed solution (which need not be optimal). Drawing from earlier syntactic translations, a semantic model is presented, based on economic input-output relations commonly found in large-scale linear programs. These are then shown how to form rule-driven explanations, which comprises a fundamental component of an intelligent mathematical programming system.
Keywords:Linear Programming   Discourse Models   Natural Language Processing   Mathematical Modeling   Artificial Intelligence   Model Management   Computer-assisted Analysis
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