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notebook.tex
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% Default to the notebook output style
% Inherit from the specified cell style.
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% Nicer default font (+ math font) than Computer Modern for most use cases
\usepackage{mathpazo}
% Basic figure setup, for now with no caption control since it's done
% automatically by Pandoc (which extracts  syntax from Markdown).
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% We will generate all images so they have a width \maxwidth. This means
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\def\maxwidth{\ifdim\Gin@nat@width>\linewidth\linewidth
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% Set max figure width to be 80% of text width, for now hardcoded.
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% Ensure that by default, figures have no caption (until we provide a
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\title{Route Optimization 1}
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\begin{document}
\maketitle
\section{KniT Anemia Route
Optimization}\label{knit-anemia-route-optimization}
\#\# Objective \#\#\# a tool that can be used by survey supervisors to
optimize the surveying strategy in terms of scheduling village visits
and choosing sites for base of operations.
\subsubsection{The tool will aid in choosing an optimal survey schedule
for the next day, and can be rerun at the end of each day to update the
schedule with latest
data.}\label{the-tool-will-aid-in-choosing-an-optimal-survey-schedule-for-the-next-day-and-can-be-rerun-at-the-end-of-each-day-to-update-the-schedule-with-latest-data.}
\subsection{Algorithm}\label{algorithm}
\subsubsection{Mixed linear programming has been used to solve the
problem.}\label{mixed-linear-programming-has-been-used-to-solve-the-problem.}
\subsubsection{The engine uses Google OR tools, an opensource, free to
use library for commercial and research
purposes.}\label{the-engine-uses-google-or-tools-an-opensource-free-to-use-library-for-commercial-and-research-purposes.}
\subsubsection{The routing library of the Google OR has been used to
formulate the problem so as to ensure that the same engine can be easily
modified to include other features.
https://developers.google.com/reference/constraint\_solver/routing/.}\label{the-routing-library-of-the-google-or-has-been-used-to-formulate-the-problem-so-as-to-ensure-that-the-same-engine-can-be-easily-modified-to-include-other-features.-httpsdevelopers.google.comreferenceconstraint_solverrouting.}
\subsection{Version Specification}\label{version-specification}
\subsubsection{This version invoves the routing when there are no time
constraints associated with the
villages}\label{this-version-invoves-the-routing-when-there-are-no-time-constraints-associated-with-the-villages}
\subsubsection{This Version requires 2 files in the same directory for
data: Travel\_times.csv and
Demands.csv.}\label{this-version-requires-2-files-in-the-same-directory-for-data-travel_times.csv-and-demands.csv.}
\subsubsection{Demands.csv has the time requirement of every village
encoded in seconds and the column that has the requirement has to
specified in the program. The programe takes by default the column 5 to
contain the
demands.}\label{demands.csv-has-the-time-requirement-of-every-village-encoded-in-seconds-and-the-column-that-has-the-requirement-has-to-specified-in-the-program.-the-programe-takes-by-default-the-column-5-to-contain-the-demands.}
\subsubsection{Travel\_times.csv contains a matrix in the csv format
that represent the travel times required to travel from one village to
another. Its defined as d{[}i{]}{[}j{]} = time taken to travel from
village i to village
j.}\label{travel_times.csv-contains-a-matrix-in-the-csv-format-that-represent-the-travel-times-required-to-travel-from-one-village-to-another.-its-defined-as-dij-time-taken-to-travel-from-village-i-to-village-j.}
\section{Python code}\label{python-code}
\subsection{header files}\label{header-files}
importing required libraries for output processing
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor} }]:} \PY{k+kn}{from} \PY{n+nn}{\PYZus{}\PYZus{}future\PYZus{}\PYZus{}} \PY{k}{import} \PY{n}{print\PYZus{}function}
\PY{k+kn}{from} \PY{n+nn}{six}\PY{n+nn}{.}\PY{n+nn}{moves} \PY{k}{import} \PY{n}{xrange}
\end{Verbatim}
set the path to required directory in your system
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor} }]:} \PY{k+kn}{import} \PY{n+nn}{sys}
\PY{n}{sys}\PY{o}{.}\PY{n}{path}\PY{o}{.}\PY{n}{append}\PY{p}{(}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{F:}\PY{l+s+se}{\PYZbs{}\PYZbs{}}\PY{l+s+s2}{projects}\PY{l+s+se}{\PYZbs{}\PYZbs{}}\PY{l+s+s2}{ameen}\PY{l+s+se}{\PYZbs{}\PYZbs{}}\PY{l+s+s2}{ortools}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)}
\end{Verbatim}
import the google or-tools required to solve the problem
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor} }]:} \PY{k+kn}{from} \PY{n+nn}{ortools}\PY{n+nn}{.}\PY{n+nn}{constraint\PYZus{}solver} \PY{k}{import} \PY{n}{pywrapcp}
\PY{k+kn}{from} \PY{n+nn}{ortools}\PY{n+nn}{.}\PY{n+nn}{constraint\PYZus{}solver} \PY{k}{import} \PY{n}{routing\PYZus{}enums\PYZus{}pb2}
\end{Verbatim}
import the csv library for input handling
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor} }]:} \PY{k+kn}{import} \PY{n+nn}{csv}
\end{Verbatim}
\subsection{Problem Data Definition}\label{problem-data-definition}
\subsubsection{class definition -
Vehicle()}\label{class-definition---vehicle}
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor} }]:} \PY{k}{class} \PY{n+nc}{Vehicle}\PY{p}{(}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Stores the property of a vehicle\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{def} \PY{n+nf}{\PYZus{}\PYZus{}init\PYZus{}\PYZus{}}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Initializes the vehicle properties\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{n}{vehicle\PYZus{}capacity} \PY{o}{=} \PY{n+nb}{input}\PY{p}{(}\PY{p}{)}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}capacity} \PY{o}{=} \PY{n+nb}{int}\PY{p}{(}\PY{n}{vehicle\PYZus{}capacity}\PY{p}{)}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{capacity}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets vehicle capacity\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}capacity}
\end{Verbatim}
\#\#\# class definition - DataProblem()
\begin{Verbatim}[commandchars=\\\{\}]
{\color{incolor}In [{\color{incolor} }]:} \PY{k}{class} \PY{n+nc}{DataProblem}\PY{p}{(}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Stores the data for the problem\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{def} \PY{n+nf}{\PYZus{}\PYZus{}init\PYZus{}\PYZus{}}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Initializes the data for the problem\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}vehicle} \PY{o}{=} \PY{n}{Vehicle}\PY{p}{(}\PY{p}{)}
\PY{c+c1}{\PYZsh{}self.\PYZus{}num\PYZus{}vehicles = 2}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot} \PY{o}{=} \PY{l+m+mi}{3}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}req\PYZus{}vehicles} \PY{o}{=} \PY{l+m+mi}{0}
\PY{c+c1}{\PYZsh{}read the demands as a list of lists}
\PY{k}{with} \PY{n+nb}{open}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{test\PYZus{}demands1.csv}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,} \PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{rU}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} \PY{k}{as} \PY{n}{f}\PY{p}{:}
\PY{n+nb}{list} \PY{o}{=} \PY{p}{[}\PY{n}{i}\PY{p}{[}\PY{l+m+mi}{5}\PY{p}{]} \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n}{csv}\PY{o}{.}\PY{n}{reader}\PY{p}{(}\PY{n}{f}\PY{p}{)}\PY{p}{]}
\PY{n+nb}{list}\PY{o}{.}\PY{n}{pop}\PY{p}{(}\PY{l+m+mi}{0}\PY{p}{)}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands} \PY{o}{=} \PY{p}{[}\PY{n+nb}{int}\PY{p}{(}\PY{n}{i}\PY{p}{)} \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{list}\PY{p}{]}
\PY{k}{with} \PY{n+nb}{open}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{travel\PYZus{}times.csv}\PY{l+s+s1}{\PYZsq{}}\PY{p}{,} \PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{rU}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)} \PY{k}{as} \PY{n}{f}\PY{p}{:}
\PY{n+nb}{list} \PY{o}{=} \PY{p}{[}\PY{n}{i} \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n}{csv}\PY{o}{.}\PY{n}{reader}\PY{p}{(}\PY{n}{f}\PY{p}{)}\PY{p}{]}
\PY{n+nb}{list}\PY{o}{.}\PY{n}{pop}\PY{p}{(}\PY{l+m+mi}{0}\PY{p}{)}
\PY{c+c1}{\PYZsh{}loop for the size of list}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}distances} \PY{o}{=} \PY{p}{[}\PY{p}{[}\PY{n+nb}{int}\PY{p}{(}\PY{n}{j}\PY{p}{)} \PY{k}{for} \PY{n}{j} \PY{o+ow}{in} \PY{n}{i}\PY{p}{]} \PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{list}\PY{p}{]}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{vehicle}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets a vehicle\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}vehicle}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{demands}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets demands at each location\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{num\PYZus{}locations}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets number of locations\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb}{len}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{demands}\PY{p}{)}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{num\PYZus{}vehicles}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets number of vehicles\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb}{len}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{demands}\PY{p}{)}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{req\PYZus{}vehicles}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets number of vehicles\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}req\PYZus{}vehicles}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{depot}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets depot location index\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot}
\PY{n+nd}{@property}
\PY{k}{def} \PY{n+nf}{distances}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}Gets distance between each pair of locations\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{return} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}distances}
\PY{k}{def} \PY{n+nf}{printDemands}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{k}{for} \PY{n}{i} \PY{o+ow}{in} \PY{n+nb}{range}\PY{p}{(}\PY{n+nb}{len}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands}\PY{p}{)}\PY{p}{)}\PY{p}{:}
\PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+si}{\PYZob{}0\PYZcb{}}\PY{l+s+s1}{ , }\PY{l+s+s1}{\PYZsq{}}\PY{o}{.}\PY{n}{format}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands}\PY{p}{[}\PY{n}{i}\PY{p}{]}\PY{p}{)}\PY{p}{)}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}the formulator is to visit the villages which has more demands than that compleatable in a single visit\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}that falls outside the scope of optimizationa and should be visited before optimization \PYZhy{} so as to reduce the demands to what is compleatable by a single visit\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{k}{def} \PY{n+nf}{formulator}\PY{p}{(}\PY{n+nb+bp}{self}\PY{p}{)}\PY{p}{:}
\PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{formulator}\PY{l+s+se}{\PYZbs{}n}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)}
\PY{k}{for} \PY{n}{x} \PY{o+ow}{in} \PY{n}{xrange}\PY{p}{(}\PY{l+m+mi}{0}\PY{p}{,} \PY{n+nb}{len}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands}\PY{p}{)}\PY{p}{)}\PY{p}{:}
\PY{k}{if} \PY{p}{(}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands}\PY{p}{[}\PY{n}{x}\PY{p}{]} \PY{o}{+} \PY{l+m+mi}{2}\PY{o}{*}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}distances}\PY{p}{[}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot}\PY{p}{]}\PY{p}{[}\PY{n}{x}\PY{p}{]}\PY{p}{)} \PY{o}{\PYZgt{}} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}vehicle}\PY{o}{.}\PY{n}{capacity}\PY{p}{)}\PY{p}{:}
\PY{k}{while} \PY{p}{(}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands}\PY{p}{[}\PY{n}{x}\PY{p}{]} \PY{o}{+} \PY{l+m+mi}{2}\PY{o}{*}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}distances}\PY{p}{[}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot}\PY{p}{]}\PY{p}{[}\PY{n}{x}\PY{p}{]}\PY{p}{)} \PY{o}{\PYZgt{}} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}vehicle}\PY{o}{.}\PY{n}{capacity}\PY{p}{)} \PY{p}{:}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}req\PYZus{}vehicles} \PY{o}{+}\PY{o}{=} \PY{l+m+mi}{1}
\PY{l+s+sd}{\PYZdq{}\PYZdq{}\PYZdq{}updating the demands as we visit the villages\PYZdq{}\PYZdq{}\PYZdq{}}
\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}demands}\PY{p}{[}\PY{n}{x}\PY{p}{]} \PY{o}{\PYZhy{}}\PY{o}{=} \PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}vehicle}\PY{o}{.}\PY{n}{capacity} \PY{o}{\PYZhy{}} \PY{l+m+mi}{2}\PY{o}{*}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}distances}\PY{p}{[}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot}\PY{p}{]}\PY{p}{[}\PY{n}{x}\PY{p}{]}\PY{p}{)}
\PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{Route of Vehilce }\PY{l+s+si}{\PYZob{}\PYZcb{}}\PY{l+s+se}{\PYZbs{}n}\PY{l+s+s1}{\PYZsq{}}\PY{o}{.}\PY{n}{format}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}req\PYZus{}vehicles}\PY{p}{)}\PY{p}{)}
\PY{n+nb}{print}\PY{p}{(}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+si}{\PYZob{}0\PYZcb{}}\PY{l+s+s1}{ Load(}\PY{l+s+si}{\PYZob{}1\PYZcb{}}\PY{l+s+s1}{) \PYZhy{}\PYZgt{} }\PY{l+s+si}{\PYZob{}2\PYZcb{}}\PY{l+s+s1}{ Load(}\PY{l+s+si}{\PYZob{}3\PYZcb{}}\PY{l+s+s1}{) \PYZhy{}\PYZgt{} }\PY{l+s+si}{\PYZob{}4\PYZcb{}}\PY{l+s+s1}{ Load(}\PY{l+s+si}{\PYZob{}5\PYZcb{}}\PY{l+s+s1}{)}\PY{l+s+se}{\PYZbs{}n}\PY{l+s+s1}{\PYZsq{}}\PY{o}{.}\PY{n}{format}\PY{p}{(}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot}\PY{p}{,} \PY{l+m+mi}{0}\PY{p}{,} \PY{n}{x}\PY{p}{,} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}vehicle}\PY{o}{.}\PY{n}{capacity} \PY{o}{\PYZhy{}} \PY{l+m+mi}{2}\PY{o}{*}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}distances}\PY{p}{[}\PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot}\PY{p}{]}\PY{p}{[}\PY{n}{x}\PY{p}{]}\PY{p}{,} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}depot}\PY{p}{,} \PY{n+nb+bp}{self}\PY{o}{.}\PY{n}{\PYZus{}vehicle}\PY{o}{.}\PY{n}{capacity}\PY{p}{)}\PY{p}{)}
\end{Verbatim}
% Add a bibliography block to the postdoc
\end{document}