J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1--29, 1982.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....and the retrieval of results normally require human intervention. They can be automated only to a limited degree through problem specific programming on the part of the user. This paper describes the new Kestrel interface to the NEOS Server and its application within the AMPL [13, 14] and GAMS [4, 5] modeling systems. A Kestrel client is called by a locally running program, and results are returned to that program. Thus, a modeling system can have much the same access to remote NEOS solvers as to solvers installed locally. As a result, the modeler can consider a wider variety of solvers, ....

....tools, such as ADIFOR [2] ADIC [3, 20] and ADOL C [17] can be run by the NEOS solver to generate code that computes exact derivatives. High level algebraic formulations describe optimization problems in concise, symbolic formats using modeling languages such as AMPL [13, 14] and GAMS [4, 5]. To cope with this variety, the server maintains a data bank, a general framework that enables optimization solvers and their individual needs to be recognized. Each available solver has an entry in the data bank that records solver specific information provided by the solver s NEOS ....

J. J. Bisschop and A. Meeraus, On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study 20 (1982) 1--29.

....combinatorial optimization problems. Their goal is to decrease development time substantially while preserving most of the eciency of specialized programs. Much of this e ort was devoted to mathematical and constraint programming systems for which there are now advanced modeling languages (e.g. [10, 3, 36]) constraint programming languages and libraries (e.g. 6, 4, 7, 31, 34, 19] Less attention was paid to local search, although it has been shown particularly e ective for many classes of applications. However, the implementation of local search algorithms may present interesting challenges in ....

J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1-29, 1982.

....to its efficient solving. Some guidance is provided to design the right mathematical programming model by means of case studies (see surveys in [Gro93, Wil94] Also there is a growing number of algebraic modelling languages to ease the formulation of LSCO models fed to LP MIP solvers (e.g. GAMS [BM82] AMPL [FGK93] XPRESS MP [Das97] The weak point is the scarcity of work that exists to integrate mathematical programming models with other paradigms like constraint programming, even though they should be seen as complementary. 2.3. The stochastic search paradigm. A third paradigm found to ....

J.J. Bisschop and A. Meeraus, On the Development of a General Algebraic Modeling System in a Strategic Planning Environment, Mathematical Programming Study, vol. 20, 1982, pp. 1--29.

....problems. Their goal is to decrease development time substantially while preserving most of the eciency of specialized programs. Most tools can be classi ed in two categories: mathematical modeling languages and constraint programming languages. Modeling languages such as AMPL [9] and GAMS [2] provide high level algebraic and set notations to express, in concise ways, mathematical problems that can then be solved using state of the art solvers. These modeling languages do not require speci c programming skills and can be used by a wide audience. Constraint programming languages such as ....

J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1-29, 1982.

....data from the generator to the solver. Until the 1970 s such integrated systems were tailored to each specic application. Naturally, the maintenance of such programs and models could not be done by a non specialist. At the end of 1970 s matrix generators gave way to algebraic modeling languages [7,16]. The rst modeling language, GAMS [8] was developed at the World Bank at the end of 1970 s. Nowadays, modelers essentially use Algebraic Modeling Languages (e.g. GAMS [8] AMPL [18] AIMMS [6] to write Mathematical Programming (MP) problems. These AMLs enable modelers to express their problems ....

J. Bisschop and A. Meeraus, On the development of the general algebraic modeling system in a strategic planning environment, Mathematical Programming Study, 20 (1982), pp. 129.

....combinatorial optimization problems. Their goal is to decrease development time substantially while preserving most of the eciency of specialized programs. Much of this e ort was devoted to mathematical and constraint programming systems for which there are now advanced modeling languages (e.g. [10, 3, 38]) constraint programming languages (e.g. 6, 4, 7, 33, 36, 20] and libraries (e.g. 14, 26] Less attention was paid to local search, although it has been shown particularly e ective for many classes of applications. However, the implementation of local search algorithms may present ....

J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1-29, 1982.

....that make it possible to develop, maintain, test, and reuse models independently of the scripts using them and to develop scripts that apply to a variety of models. 1 Introduction The last decades have witnessed the development of many modeling languages for mathematical programming (e.g. [4, 2]) These languages significantly decrease the development time of optimization applications by providing high level algebraic and sets notations and data modeling facilities. Recent modeling languages such as OPL [8] further enhance these functionalities by supporting constraint programming ....

J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1--29, 1982.

....problems. Their goal is to decrease development time substantially while preserving most of the eciency of specialized programs. Most tools can be classi ed in two categories: mathematical modeling languages and constraint programming languages. Modeling languages such as AMPL [9] and GAMS [2] provide high level algebraic and set notations to express, in concise ways, mathematical problems that can then be solved using state of the art solvers. These modeling languages do not require speci c programming skills and can be used by a wide audience. Constraint programming languages such as ....

J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1-29, 1982.

....the vector of constraint function values. The needed derivatives are either explicitly coded, computed by using numerical differences or derived using automatic differentiation techniques. In recent years several modeling languages has been developed, like AIMMS [7] AMPL [21] ASCEND [40] GAMS [8, 11] and LINGO [2] The modeling system acts as a preprocessor. The user describes his problem in detail in a very verbal language, an opposite to a concise mathematical description of the problem. This problem description file is normally modified in a text editor, with help from example files ....

J. Bisschop and A. Meeraus. On the development of a general algebraic modeling system in a strategic planning environment. Mathematical Programming Study, 20:1-- 29, 1982.

....complex tasks, have led to the emergence of modeling methodologies and supporting environments. Recognition of the importance of modeling methodologies and computer assisted support is evident in the prescriptive modeling community through efforts such as ANALYZE (Greenberg 1983; 1987; 1993) GAMS (Bisschop and Meeraus 1982; Brooke, Kendrick and Meeraus 1992) and Structured Modeling (Geoffrion 1987, 1992a, 1992b) Within the discrete event simulation community, the maturation of research in methodology based support environments is seen in KBSim (Rothenberg 1989) Knowledge Based Simulation (KBS) Baskaran and Reddy ....

Bisschop, J. and A. Meeraus. 1982. On the development of a general algebraic modeling system in a strategic planning environment, Mathematical Programming Study, 20:1-29.

....models encouraged AML developers to add more statements typical for programming languages, like e.g. if then else or commands creating loops. Such commands enable the modeler to write even certain solution algorithms directly in the modeling language. Seminal papers concerning AMLs are [Bisschop and Meeraus, 1982] and [Fourer, 1983] For a survey of recent conceptual development in AMLs, we refer the reader to [Huerlimann, 1999] and the references therein. The book [Williams, 1993] is a standard reference to modeling. An important feature of some algebraic modeling languages is the capability of dealing ....

....data from the generator to the solver. Until the 1970 s such integrated systems were tailored to each specific application. Naturally, the maintenance of such programs and models could not be done by a non specialist. At the end of 1970 s matrix generators gave way to algebraic modeling languages [Bisschop and Meeraus, 1982, Fourer, 1983] The first modeling language, GAMS [Brooke et al. 1992] was developed at the World Bank at the end of 1970 s. Independently of the progress in modeling tools, nonlinear optimization software became available. The need of solving more complicated (nonlinear) optimization problems ....

J. Bisschop and A. Meeraus. On the development of the general algebraic modeling system in a strategic planning environment. Mathematical Programming Study, 20:1--29, 1982.

....data from the generator to the solver. Until the 1970 s such integrated systems were tailored to each specic application. Naturally, the maintenance of such programs and models could not be done by a non specialist. At the end of 1970 s matrix generators gave way to Algebraic Modeling Languages [7,16]. C. Condevaux Lanloy and E. Fragni#re Dealing with Uncertainty in Energy models 9 The rst modeling language, GAMS [8] was developed at the World Bank at the end of 1970 s. Nowadays, modelers essentially use Algebraic Modeling Languages (e.g. GAMS [8] AMPL [18] AIMMS [6] to write ....

J. Bisschop and A. Meeraus, On the development of the general algebraic modeling system in a strategic planning environment, Mathematical Programming Study, 20 (1982), pp. 129.

....Their goal is to decrease development time substantially while preserving most of the efficiency of specialized programs. Most tools can be classified in two categories: mathematical modeling languages and constraint programming languages. Mathematical modeling languages such as AMPL [4] and GAMS [1] provides very high level algebraic and set notations to express concisely mathematical problems 1 that can then be solved using state of the art solvers. These modeling languages do not require specific programming skills and can be used by a wide audience. Constraint programming languages such ....

J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1--29, 1982.

....may be organized in a format that is incompatible with the linear programming software in use. Tools to facilitate this translation have come to be known as matrix generators [29] Over the years such tools have evolved into more complete modeling languages (for example, AMPL [28] GAMS [55]) 2. The viewing, reporting and analysis of results. This issue is similar to that of model expression. The results of a linear programming problem when presented as raw numerical output are often difficult for a user to digest. Report writers and modeling languages like the ones mentioned above ....

J. Bisschop and A. Meerhaus, On the development of a General Algebraic Modeling System (GAMS) in a Strategic Planning Environment, Mathematical Programming Study 20 (1982) 1-29.

....in COMOD (P[co,u] p0[co] esub[cr,co] Other AMPL statements define the index sets, numerical data, and variables that appear in such an expression, as seen in the illustration of an AMPL complementarity problem in Figure 1 of section 4. Algebraic languages, such as AMPL, AIMMS [5] GAMS [6, 8], and LINGO [35] are currently the most popular type of modeling language for describing linear and nonlinear optimization problems. With the specification of the objective omitted, algebraic modeling languages are equally useful for describing problems of finding feasible solutions to systems ....

....point is far from a solution. Some assistance may be provided by routines that test functions for desirable properties, but they are typically incorporated into individual solvers or related analysis tools such as MProbe [9] 3.2. Modeling language representations. The GAMS modeling language [6, 8] was the first (to our knowledge) to provide for specification of complementarity problems [15] As explained in [34] GAMS does not express complementarity through any modification to its constraint syntax, but rather by an extension to its model defining statement. The list of constraints in its ....

J. Bisschop and A. Meeraus, On the development of a general algebraic modeling system in a strategic planning environment, Math. Programming Stud., 20 (1982), pp. 1--29.

....these idle machines and schedules tasks on them. When the owner wants to perform additional work, Condor migrates the task to another available computer. In essence, Condor uses resources that would have otherwise been lost. Our mechanism allows Condor to be used from within a modeling language [4, 16] which provides a natural, convenient way to represent mathematical programs. These languages typically have e#cient procedures to handle vast amounts of data and can quickly generate a large number of models. For this reason, modeling languages are heavily used in practical applications. Condor ....

J. Bisschop and A. Meeraus. On the development of a general algebraic modeling system in a strategic planning environment. Mathematical Programming Study, 20:1--29, 1982.

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J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1--29, 1982.

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BISSCHOP,J.AND MEERAUS, A. 1982. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study 20, 1--29.

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J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1--29, 1982.

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J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1--29, 1982.

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J. Bisschop and A. Meeraus, On the development of a general algebraic modeling system in a strategic planning environment, Mathematical Programming Study, 20 (1982), pp. 1--29.

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J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1{ 29, 1982.

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J. Bisschop and A. Meeraus. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study, 20:1-29, 1982.

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J. J. Bisschop and A. Meeraus, On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study 20 (1982) 1--29.

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BISSCHOP,J.AND MEERAUS, A. 1982. On the Development of a General Algebraic Modeling System in a Strategic Planning Environment. Mathematical Programming Study 20, 1--29.

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