An Integrated Modeling System for Structured Modeling Using Model Graphs

This article presents a graph-based modeling system for structured modeling that supports model formulation, maintenance, and solution. The graph-based modeling system for structured modeling uses directed acyclic graphs called model graphs to represent models in various domains including mathematical programming, databases, and artificial intelligence. These graphs are modular and are synthesized using well-defined graphical constructs. The constructs have associated model expressions specified in a computer-executable language called Model Expression Language. The graphical constructs enable the system to automatically create model expressions and facilitate syntax-directed editing.

[1]  Tarun K. Sen,et al.  Diagrammatic knowledge representation , 1992, IEEE Trans. Syst. Man Cybern..

[2]  Chris Jones,et al.  An integrated modeling environment based on attributed graphs and graph-grammars , 1993, Decis. Support Syst..

[3]  Ramayya Krishnan.  A logic modeling language for automated model construction , 1990, Decis. Support Syst..

[4]  Arthur M. Geoffrion,et al.  An Introduction to Structured Modeling , 1987 .

[5]  Arthur M. Geoffrion.  The Formal Aspects of Structured Modeling , 1989, Oper. Res..

[6]  Frederic H. Murphy,et al.  A graphics interface for linear programming , 1989, CACM.

[7]  Arthur M. Geoffrion,et al.  The SML Language for Structured Modeling: Levels 1 and 2 , 1992, Oper. Res..

[8]  Gérald Collaud,et al.  gLPS: A graphical tool for the definition and manipulation of linear problems , 1994 .

[9]  Frederic H. Murphy,et al.  An Implementation of LPFORM , 1996, INFORMS J. Comput..

[10]  Saul I. Gass,et al.  Managing the modeling process: a personal reflection , 1987 .

[11]  Waleed A. Muhanna,et al.  An object-oriented framework for model management and DSS development , 1993, Decis. Support Syst..

[12]  Hemant K. Bhargava,et al.  On embedded languages for model management , 1990, Twenty-Third Annual Hawaii International Conference on System Sciences.

[13]  Hemant K. Bhargava,et al.  A logic model for model management: an embedded languages approach , 1990 .

[14]  Daniel R. Dolk,et al.  A generalized model management system for mathematical programming , 1986, TOMS.

[15]  Marco Gagliardi,et al.  BLOOMS: A prototype modeling language with object oriented features , 1997, Decis. Support Syst..

[16]  C. J. Date.  An Introduction to Database Systems , 1975 .

[17]  Chris Jones.  Attributed graphs, graph-grammars, and Structured Modeling , 1992, Ann. Oper. Res..

[18]  Jr. James S. Welch,et al.  PAM- a practitioner's approach to modeling , 1987 .

[19]  Christopher V. Jones.  An Introduction to Graph-Based Modeling Systems, Part II: Graph-Grammars and the Implementation , 1991, INFORMS J. Comput..

[20]  Robert W. Blanning,et al.  Metagraphs: a tool for modeling decision support systems , 1994 .

[21]  Brian W. Kernighan,et al.  AMPL: A Modeling Language for Mathematical Programming , 1993 .

[22]  Joobin Choobineh.  A diagramming technique for representation of linear models , 1991 .

[23]  Ramayya Krishnan,et al.  Towards a logical reconstruction of structured modeling , 1993, Decis. Support Syst..

[24]  Albert A. Angehrn,et al.  Intelligent Decision Support Systems: A Visual Interactive Approach , 1990 .

[25]  Arthur M. Geoffrion,et al.  The SML Language for Structured Modeling: Levels 3 and 4 , 1992, Oper. Res..

[26]  Roger Alan Pick,et al.  Meta-modeling concepts and tools for model management: a systems approach , 1994 .

[27]  Arthur M. Geoffrion,et al.  FW/SM: A Prototype Structured Modeling Environment , 1991 .

[28]  Ramesh Sharda,et al.  Graphical Interfaces for Network Modeling: A Model Management System Perspective , 1993, INFORMS J. Comput..

[29]  Joobin Choobineh.  SQLMP: A Data Sublanguage for Representation and Formulation of Linear Mathematical Models , 1991, INFORMS J. Comput..

[30]  Arthur M. Geoffrion,et al.  The design and implementation of a prototype structured modeling environment , 1992, Ann. Oper. Res..

[31]  Kaushal Chari,et al.  A graphical modeling system: Applications in organizational model management , 1997 .

[32]  David A. Kendrick.  A graphical interface for production and transportation system modeling: PTS , 1991 .