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A model management framework for heterogeneous algebraic models: Object-oriented database management systems approach

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  • Huh, S. Y.
  • Chung, Q. B.

Abstract

Recently, a growing number of corporations are adopting diverse algebraic modeling languages (AMLs) to augment their productivity of developing mathematical models. As different AMLs penetrate various sections of an organization, a new challenge is faced: effective management of heterogeneous models that have been designed and developed with different modeling conventions and manipulation operations, but intended to solve similar business problems. In this paper, we propose a model management framework that can accommodate such heterogeneous algebraic models, and in so doing, can provide universal model manipulation commands. Three leading contemporary AMLs, namely, AMPL, GAMS, and SML, are employed to render a representative paradigm. The benefits of this framework are manifold, the more significant among which are the following: (1) providing a conceptual basis for uniformly incorporating dissimilar modeling conventions of different AMLs, the framework adopts the generic model concepts and provides a canonical representation for each model; (2) as the framework embodies the generic model concepts, it consolidates database, modelbase, and associated solvers in a single formalism using an Object-oriented Database Management System (ODBMS); (3) taking advantage of the flexibility of a database query language, the framework can provide uniform model management commands to heterogeneous models represented with different AMLs, and can effectively facilitate integration of the model management system components. Also presented in this paper is a prototype model management system that has been designed following the ideas prescribed by the framework, and developed on a commercial ODBMS, ObjectStore, and using an object-oriented programming language, C++.

Suggested Citation

  • Huh, S. Y. & Chung, Q. B., 1995. "A model management framework for heterogeneous algebraic models: Object-oriented database management systems approach," Omega, Elsevier, vol. 23(3), pages 235-256, June.
    • Handle: RePEc:eee:jomega:v:23:y:1995:i:3:p:235-256
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    References listed on IDEAS

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    1. Arthur M. Geoffrion, 1987. "An Introduction to Structured Modeling," Management Science, INFORMS, vol. 33(5), pages 547-588, May.
    2. Robert Fourer & David M. Gay & Brian W. Kernighan, 1990. "A Modeling Language for Mathematical Programming," Management Science, INFORMS, vol. 36(5), pages 519-554, May.
    3. Asim Roy & L. S. Lasdon & J. Lordeman, 1986. "Extending Planning Languages to Include Optimization Capabilities," Management Science, INFORMS, vol. 32(3), pages 360-373, March.
    4. Arthur M. Geoffrion, 1992. "Indexing in Modeling Languages for Mathematical Programming," Management Science, INFORMS, vol. 38(3), pages 325-344, March.
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    Cited by:

    1. Tsai, Yao-Chuan, 2001. "Comparative analysis of model management and relational database management," Omega, Elsevier, vol. 29(2), pages 157-170, April.
    2. Huh, Soon-Young & Kim, Hyung-Min & Chung, Q. B., 1999. "Framework for change notification and view synchronization in distributed model management systems," Omega, Elsevier, vol. 27(4), pages 431-443, August.

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