Skip to main content
SpringerLink
Log in

MODLER: Modeling by object-driven linear elemental relations

  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

This paper describes a system to represent linear programming models and their instances. In addition to a modeling language, MODLER has an extensive query capability which includes a multi-view architecture. Further, randomization options provide rapid prototyping. The MODLER system is part of a workbench for building and managing decision support systems that are based on linear programming.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. T.E. Baker, RESULT: An interactive modeling system for planning and scheduling, presented at the ORSA/TIMS meeting, Chicago, IL (1983).

  2. D. Baldwin, The development and architecture of DOVE: A multiview viewpoint,Proc. ISDSS Conf., Austin, TX (1990).

  3. Bonner & Moore Management Science, GAMMA 2000 User's Manual, Version 1.0, Houston, TX (1989).

  4. A. Brooke, D. Kendrick and A. Meeraus,GAMS: A User's Guide (Scientific Press, Redwood City, CA, 1988).

    Google Scholar 

  5. Chesapeake Decision Sciences, MIMI/LP User's Manual, New Providence, NJ (1988).

  6. J.W. Chinneck, Formulating processing network models: Viability theory, Naval Res. Logist. 37(1990)245–261.

    Google Scholar 

  7. R. Fourer, D.M. Gay and B.W. Kernighan, A mathematical programming language, Manag. Sci. 36(1990)519–554.

    Google Scholar 

  8. A.M. Geoffrion, The SML language for structured modeling, Working Paper No. 378, Western Management Science Institute, University of California, Los Angeles, CA (1990).

    Google Scholar 

  9. F. Glover, Netform modeling, Draft monograph, University of Colorado, Boulder, CO (1983).

    Google Scholar 

  10. H.J. Greenberg, A new approach to analyze information contained in a model, in:Energy Models Validation and Assessment, ed. S.I. Gass, NBS Pub. 569 (National Bureau of Standards, Gaithersburg, MD, 1978), pp. 517–524.

    Google Scholar 

  11. H.J. Greenberg, A functional description of ANALYZE: A computer-assisted analysis system for linear programming models, ACM Trans. Math. Software 9(1983)18–56.

    Google Scholar 

  12. H.J. Greenberg, ANALYZE: A computer-assisted analysis system for linear programming models, Oper. Res. Lett. 6(1987)249–255.

    Google Scholar 

  13. H.J. Greenberg, A natural language discourse model to explain linear programs, Dec. Support Syst. 33(1987)333–342.

    Google Scholar 

  14. H.J. Greenberg, A primer for ANALYZE: A computer-assisted analysis system for mathematical programming models and solutions, Mathematics Department, University of Colorado at Denver, Denver, CO (1990).

    Google Scholar 

  15. H.J. Greenberg, A primer for MODLER: Modeling by object-driven linear elemental relations, Mathematics Department, University of Colorado at Denver, Denver, CO (1991).

    Google Scholar 

  16. H.J. Greenberg, J.R. Lundgren and J.S. Maybee, Extensions of graph inversion to support an artificially intelligent modeling environment, Ann. Oper. Res. 21(1989)127–142.

    Google Scholar 

  17. H.J. Greenberg and F.H. Murphy, A comparison of mathematical programming modeling systems, Ann. Oper. Res. 38(1992)177–238.

    Google Scholar 

  18. H.J. Greenberg and F.H. Murphy, Views of mathematical programming models and their instances, Technical Report, Mathematics Department, University of Colorado at Denver, Denver, CO (1991).

    Google Scholar 

  19. Haverly Systems, OMNI linear programming system: User and Operating Manual, Denville, NJ (1976).

  20. T. Hürlimann, Reference Manual for the LPL Modeling Language, Version 3.1, Institute for Automation and Operations Research, University of Fribourg, CH-1700 Fribourg, Switzerland (1989).

    Google Scholar 

  21. C.A. Jones, A new species of modelling systems, IMA J. Math. Manag. 1(1986)225–236.

    Google Scholar 

  22. C.V. Jones, An introduction to graph-based modeling systems, Part I: Overview, ORSA J. Comp. 2(1990)136–151.

    Google Scholar 

  23. D.A. Kendrick, Model representations, CER Working Paper 89-1, Center for Economic Research, Department of Economics, University of Texas, Austin, TX (1989).

    Google Scholar 

  24. D.A. Kendrick, A graphical interface for production and transportation system modelling: PTS, CER Working Paper 90-08, Center for Economic Research, Department of Economics, University of Texas, Austin, TX (1990).

    Google Scholar 

  25. Ketron Management Science, Inc.,DATAFORM User Manual (McLean, VA, 1987).

  26. P.-C. Ma, F.H. Murphy and E.A. Stohr, A graphics interface for linear programming, Commun. ACM 32(1989)996–1012.

    Google Scholar 

  27. MathPro, Inc., MathPro Usage Guide: Introduction and Reference, Washington, DC (1989).

  28. A. Meeraus, An algebraic approach to modeling, J. Econ. Dynamics Cont. 5(1983)81–108.

    Google Scholar 

  29. F.H. Murphy and E.A. Stohr, A User Guide for LPFORM, Version 1, Working Paper, Graduate School of Business Administration, New York University, New York, NY (1990).

    Google Scholar 

  30. L. Schrage,User's Manual for LINDO (Scientific Press, Palo Alto, CA (1981).

    Google Scholar 

  31. G. Stephanopoulos, G. Henning and H. Leone, MODELLA, a modeling language for process engineering. I: The formal framework, Comp. Chem. Eng. 14(1990)813–846.

    Google Scholar 

  32. D.M. Steiger, R. Sharda and C. Nanga, Functional description of a graph-based interface for network modeling (GIN), Technical Report, Oklahoma State University, Stillwater, OK (1989).

    Google Scholar 

  33. J.S. Welch, Jr., PAM — A practitioners' approach to modeling, Manag. Sci. 33(1987)610–625.

    Google Scholar 

  34. H.P. Williams,Model Building in Mathematical Programming (Wiley-Interscience, 1978).

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, University of Colorado at Denver, P.O. Box 173364, 80217-3364, Denver, CO, USA

    Harvey J. Greenberg

Authors
  1. Harvey J. Greenberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported by a consortium of industries: Amoco Oil Company, Shell Development Company, Chesapeake Decision Science, GAMS Development Corp., Ketron Management Science, MathPro, Inc., Optimal Methods, Inc., and XMP Software, Inc. Partial support was also provided by the Office of Naval Research (Contract No. N-00014-88-K-0104).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Greenberg, H.J. MODLER: Modeling by object-driven linear elemental relations. Ann Oper Res 38, 239–280 (1992). https://doi.org/10.1007/BF02283655

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02283655

Keywords

Search

Navigation