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Adapt AMPL part

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Jip J. Dekker 2021-05-18 17:17:58 +10:00
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6
assets/glossary.tex
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@ -85,7 +85,6 @@
description={}, description={},
} }
\newglossaryentry{gls-chr}{ \newglossaryentry{gls-chr}{
name={constraint handling rules}, name={constraint handling rules},
description={}, description={},
@ -191,11 +190,6 @@
description={}, description={},
} }
\newglossaryentry{linear-program}{
name={linear program},
description={},
}
\newglossaryentry{gls-lcg}{ \newglossaryentry{gls-lcg}{
name={lazy clause generation}, name={lazy clause generation},
description={}, description={},

24
chapters/2_background.tex
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@ -848,7 +848,6 @@ can then be rewritten as linear \glspl{constraint} using the \glspl{variable}
\label{line:back-mip-channel} & x_{i} = \sum_{j=1}^{n} j * y_{ij} & \forall_{i=1}^{n} \\ \label{line:back-mip-channel} & x_{i} = \sum_{j=1}^{n} j * y_{ij} & \forall_{i=1}^{n} \\
\label{line:back-mip-row} & \sum_{i=1}^{n} y_{ij} \leq 1 & \forall_{j=1}^{n} \label{line:back-mip-row} & \sum_{i=1}^{n} y_{ij} \leq 1 & \forall_{j=1}^{n}
\end{align} \end{align}
% & \sum_{j=1} y_{ij} \leq 1 & \forall_{i=1}^{n}\\
The encoding of this variable uses only integers. Like the \gls{cp} model, The encoding of this variable uses only integers. Like the \gls{cp} model,
@ -963,20 +962,15 @@ expressions and functions provided by the language.
One of the most used \cmls\ is \gls{ampl} \autocite{fourer-2003-ampl}. As the One of the most used \cmls\ is \gls{ampl} \autocite{fourer-2003-ampl}. As the
name suggest, \gls{ampl} was designed to allow modellers to express problems name suggest, \gls{ampl} was designed to allow modellers to express problems
through the use of mathematical equations. It is therefore also described as an through the use of mathematical equations. It is therefore also described as an
``algebraic modelling language''. Specifically an \gls{ampl} model generally ``algebraic modelling language''. Specifically \gls{ampl} was designed to model
describes a \gls{linear-program}. In a \gls{linear-program} the \glspl{variable} linear programs. These days \gls{ampl} has been extended to allow more advanced
can take any value from a continuous range and the \gls{objective} and \gls{solver} usage. Depending on the \gls{solver} targeted by \gls{ampl}, the
\glspl{constraint} can only use linear function over \glspl{variable} (\ie\ language can give the modeller access to additional functionality. For
\(\sum c_{i} x_{i}\), where all \(c_{i}\) are \glspl{parameter} and all \glspl{solver} that have a \gls{mip} solving method, the modellers can require
\(x_{i}\) are \glspl{variable}). \glspl{variable} to be integers. Different types of \glspl{solver} can also have
access to different types of constraints, such as quadratic and non-linear
Depending on the \gls{solver} targeted by \gls{ampl}, the language can give the constraints. \gls{ampl} has even been extended to allow the usage of certain
modeller access to additional functionality. For \glspl{solver} that have a \glspl{global} when using a \gls{cp} \gls{solver} \autocite{fourer-2002-amplcp}.
\gls{mip} solving method, the modellers can require \glspl{variable} to be
integers. Different types of \glspl{solver} can also have access to different
types of constraints, such as quadratic and non-linear constraints. \gls{ampl}
has even been extended to allow the usage of certain \glspl{global} when using a
\gls{cp} \gls{solver} \autocite{fourer-2002-amplcp}.
\begin{example} \begin{example}