Optimisation



Optimisation

Introduction

AMPL is an algebraic modelling language that is used for formulating and solving optimization problems. AMPL supports linear and non-linear programming optimization models in discrete and continuous variables. Stochastic extension of AMPL (SAMPL) has comprehensive support for stochastic programming; this is an extension of AMPL. You can easily create models and establish connection to various data sources, such as spreadsheets, databases or plain text files, within AMPL.

From the model and data, the AMPL translator generates an internal representation, passes it to one of the many solvers supported by AMPL and provides you with the results. The language is simple and generally follows the mathematical notation used both by mathematicians and practitioners in the field of operations research (Clark and Walker, 2008). AMPLDev is a graphical interface for AMPL. It is based on the popular Eclipse development platform and is available as a stand-alone application and as a plug-in for Eclipse.

Discussion

Modeling is based on the idea of any method of scientific investigation, while in the theoretical methods used by different kinds of symbolic, abstract models, experimental - subject of the model. In the study of complex real phenomenon is replaced by a simplified scheme of a copy or, sometimes such a copy is only just to remember and at the next meeting to learn the right thing. Sometimes it reflects what the scheme was built - the essential features, allows understanding the mechanism of the phenomenon makes it possible to predict the change. The same phenomenon may correspond to different models (Clark and Walker, 2008).

The task of the researcher is to predict the nature of the phenomenon and the process. Sometimes it happens that the object is available, but experiments with expensive or lead to serious environmental consequences. Knowledge of these processes is obtained with the help of models. An important point is that the nature of science involves the study of more than one specific event, and a broad class of related phenomena. Requires formulation of public - that the general categorical statements, which are called laws. Naturally, in this formulation, many details neglected. In order to more clearly identify the pattern of deliberately go to the coarsening, idealized, schematic, we have not studied the phenomenon, but more or less an exact copy of it or a model. All s-law is the law of the models, and so there is nothing surprising in the fact that, over time, some scientific theories are considered unsuitable. This does not lead to the collapse of science as a model has been replaced by other more modern.

A special role in science is mathematical models, building materials and tools of these models - the mathematical concepts. They are accumulated and perfected during and millennia. Modern mathematics provides extremely powerful and versatile means of investigation. Almost every concept in mathematics, every mathematical object, starting from the concept of numbers is a mathematical model. In constructing a mathematical model of the object or phenomenon are distinguish his features, the features and details that on the one ...