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An introduction to structured modeling

Article Abstract:

The purpose of structured modeling is to provide a computer-based, formal mathematical framework for the conception, representation, and manipulation of a broad variety of models. A partitioned, hierarchically organized, and attributed acyclic graphic is the framework utilized to represent a model's semantic and mathematical structure. Experimental prototypes that allow for ad hoc query, immediate expression evaluation, solution of simultaneous systems, and optimization are fostering evolution of the computer-based environment. Development of professional quality modeling environments and production of pedagogical material for practitioners will be necessary to support high quality model-based work that is more productive and accepted by users. A prototype structured modeling system designed to lead to professional quality software for structured modeling is at an advanced stage of development.

Author: Geoffrion, Arthur M.
Publisher: Institute for Operations Research and the Management Sciences
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1987
Usage, Mathematical models, Simulation methods, Simulation

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FW/SM: a prototype structured modeling environment

Article Abstract:

FW/SM is a research prototype structured modeling (SM) implementation that has been evolving alongside other SM components, such as theory, language and vision. This new implementation has proven its usefulness in several areas, including facilitating the exploration of SM concepts, the study of implementation matters related to modeling environment designs, and the examination of the concept of the ideal model environment. The properties of a modeling environment that will facilitate improved quality and productivity, as well as the design implications of these properties, are discussed.

Author: Geoffrion, Arthur M.
Publisher: Institute for Operations Research and the Management Sciences
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1991
Models, Management research, Production management, Industrial management, Industrial management models

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Indexing in modeling languages for mathematical programming

Article Abstract:

Indexing structures play a crucial role in the design of modeling languages that can be used in mathematical programming. Two common types of indexing structures that are widely used in modeling languages are set-based structures and relation-based structures. A taxonomy of such indexing structures is provided, along with some general principles that can be used to integrate these structures into modeling languages. These principles are then used to examine the indexing capabilities of four modeling languages, namely, SML, LINGO, GAMS and AMPL.

Author: Geoffrion, Arthur M.
Publisher: Institute for Operations Research and the Management Sciences
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1992
Research, Programming languages

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Subjects list: Analysis, Computer simulation
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