Commit 4dd32295 authored by Michael Keller's avatar Michael Keller
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Mom Notes

parent 9ec15822
\chapter{Introduction}
Modern farming often relies on large fields
containing a single crop type. This allows
comprising a single crop type. This allows
for a high labor productivity for farmers,
as they can drive large specialized machinery
across their field. However there are environmental
across their field. However, there are environmental
impacts to consider. Planting only a single
crop type in a field often makes the use of
pesticides necessary and further results in
low land use efficiency.
pesticides necessary and results in
low land-use efficiency.
An alternative approach currently being explored is
planting many different types of crops within
the planting of many different types of crops within
the same field. The hope is that different
crops can facilitate each others growth and offer
protection, functions that currently fertilizer
crops can facilitate each other's growth and offer
protection, functions that currently fertilizers
and pesticides provide in traditional fields.
The idea is to split up a large field
into many smaller squares, so called pixels.
Then neighboring pixels might benefit from each
other. This approach is called pixel farming.
For this purpose data on crop relationships
has been compiled. We can assume we are given
For this purpose, data on crop relationships
have been compiled. We can assume we are given
a function that tells us how beneficial it would
be to plant two types of crops next to each other,
represented as a numerical value ranging from $-1$
(bad) to $1$ (good). Naturally, the question
(bad) to $1$ (good). Consequently, the question
of the optimal crop arrangement within the field
arises.
......@@ -33,5 +37,6 @@ discuss the computational complexity class of
the problem. Then we will investigate some bounds
for optimal solutions. Next will follow some general
statements about the problem, including some analyses
on fractional solutions. Finally we present two methods
for solving the problem.
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on fractional solutions. Finally, we present two methods
for finding solutions for a given instance of the
pixel farming problem.
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