Unification of Linear Programming with a Rule-Based System by the Post-Model Analysis Approach

Jae Kyu Lee and Yong Uk Song
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Jae Kyu Lee: Department of Management Information Systems, Korea Advanced Institute of Science and Technology, Seoul Campus, 207-43, Cheongryang, Seoul, 130-12, Korea
Yong Uk Song: Department of Management Science, Korea Advanced Institute of Science and Technology, 373-1, Kusong-dong Yusong-gu, Taejon, 305-701, Korea

Management Science, 1995, vol. 41, issue 5, 835-847

Abstract: We attempt to unify a linear programming model with a rule-based system via overlapped decision variables. Since a rule base can be regarded as an acyclic AND/OR digraph, the unified model is virtually a multiobjective decision making problem that considers both numeric and symbolic objectives and decision variables. To solve this problem, the Post-model Analysis approach is adopted. An essential feature of the Post-model Analysis is that it supports nondominated tradeoffs among the numeric and symbolic objectives. So, this paper proposes a set of methods for computing the nondominated solutions. A prototype, UNIK-PMA that realizes the idea is developed as a subsystem of the UNIK (UNIfied Knowledge) system.

Keywords: linear programming; model management systems; multi-objective decision making; post-model analysis; rule-based analysis (search for similar items in EconPapers)
Date: 1995
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