{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate complete graph witih networkx\n", "import networkx as nx\n", "import matplotlib.pyplot as plt\n", "\n", "# create graph with 8 vertices\n", "G = nx.complete_graph(8)\n", "\n", "# make layout nice\n", "pos = nx.spring_layout(G)\n", "\n", "# add title\n", "plt.title(\"Complete Graph with 8 Vertices\")\n", "\n", "# draw graph\n", "nx.draw(G, with_labels=True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Fitness function: technical details\n", "\n", "In GRDN.AI the fitness of a garden configuration, $G$, which contains all plant beds in the garden, is calculated as follows:\n", "\n", "$$\n", "\\text{Fitness}(G) = \\sum_{\\text{PlantBed} \\in G} \\left( \\sum_{\\substack{i,j \\in \\text{PlantBed} \\\\ i \\neq j}} \\text{Compatibility}_{i,j} \\times \\text{Reward}_{\\text{interaction}} \\right) - \\text{Penalties}(G)\n", "$$\n", "\n", "Where:\n", "\n", "- $G$ is the current garden configuration, a grouping of plant beds.\n", "- $\\text{Compatibility}_{i,j}$ is the companion plant compatibility score between plants $i$ and $j$.\n", "- $\\text{Reward}_{\\text{interaction}}$ is the reward (or penalty) factor for positive (or negative) interactions, which is assigned as 1000 for positive and 2000 for negative interactions in this implementation.\n", "- $\\text{Penalties}(G)$ is a function representing all of the penalties:\n", "\n", "$$\n", "\\text{Penalties}(G) = \\sum_{\\text{PlantBed} \\in G} \\left( P_{\\text{MaxSpecies}}(\\text{PlantBed}) + P_{\\text{MinSpecies}}(\\text{PlantBed}) \\right) + P_{\\text{unused}}(G)\n", "$$\n", "\n", "In the penalties function, there are penalties when the user's constraints are not met. This helps enforce the constraints within the genetic algorithm. The penalties are as follows:\n", "\n", "- $P_{\\text{MaxSpecies}}(\\text{PlantBed})$ is the penalty for exceeding the maximum species per plant bed, applied per plant bed.\n", "- $P_{\\text{MinSpecies}}(\\text{PlantBed})$ is the penalty for not meeting the minimum species per plant bed, also applied per plant bed.\n", "- $P_{\\text{unused}}(G)$ is the penalty for not using all plant types across all plant beds, applied once per garden configuration.\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "GRDN_env", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.3" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }