Commit 4dd32295 by Michael Keller

### 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. \ No newline at end of file on fractional solutions. Finally, we present two methods for finding solutions for a given instance of the pixel farming problem. \ No newline at end of file
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