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AICup/Lectures/Student_lecture 2.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": true,
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"## Second Lab\n",
"\n",
"What we are going to do today:\n",
"- Recap of the previous Lab\n",
"- Define the nearest neighbor method and use it\n",
"- Define the Best Nearest Neighbors and use it \n",
"- Define the Multi Fragment and use it\n",
"- Finally compare these Constructive Methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This cell below is simply importing some useful stuff for later"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import glob\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"\n",
"from time import time as t"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Recap\n",
"### The problems\n",
"As we saw last time, we have 12 problems and two have an optimal solution"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"- ch130.tsp\n",
"- d198.tsp\n",
"- eil76.tsp\n",
"- fl1577.tsp\n",
"- kroA100.tsp\n",
"- lin318.tsp\n",
"- pcb442.tsp\n",
"- pr439.tsp\n",
"- rat783.tsp\n",
"- u1060.tsp\n"
]
}
],
"source": [
"problems = glob.glob('../problems/*.tsp')\n",
"for prob in problems:\n",
" if prob in [\"../problems/eil76.tsp\", \"../problems/kroA100.tsp\"]:\n",
" print(f\"- {prob[12:]} with opt\", sep='\\t')\n",
" else:\n",
" print(f\"- {prob[12:]}\", sep='\\t')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### ProblemInstance Class\n",
"Last time we implemented an ProblemInstance class that we can use to load a problem. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from src.io_tsp import ProblemInstance"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\n",
"#############################\n",
"name: eil76\n",
"nPoints: 76\n",
"best_sol: 538.0\n",
"exist optimal: True\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0. 15. 23. ... 18. 23. 25.]\n",
" [15. 0. 24. ... 7. 12. 15.]\n",
" [23. 24. 0. ... 31. 21. 20.]\n",
" ...\n",
" [18. 7. 31. ... 0. 17. 20.]\n",
" [23. 12. 21. ... 17. 0. 3.]\n",
" [25. 15. 20. ... 20. 3. 0.]]\n"
]
}
],
"source": [
"example_problem = \"../problems/eil76.tsp\"\n",
"p_inst = ProblemInstance(example_problem)\n",
"p_inst.print_info()\n",
"p_inst.plot_data()\n",
"print(p_inst.dist_matrix)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### TSPSolver Class\n",
"Even here, instead of reimplementing the class everytime, we can import the one I prepared before.\n",
"This implementation is ready to receive a lot of different types of problems"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from src.TSP_solver import TSPSolver\n",
"from src.constructive_algorithms import random_method"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The class implements the following methods:\n",
"..."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"### solving with ['random'] ####\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"best solution with len 2665.0 \n",
"with a total time of 0.0 seconds\n"
]
}
],
"source": [
"available_solvers = {\"random\": random_method}\n",
"\n",
"solver = TSPSolver(\"random\", p_inst, available_solvers)\n",
"start = t()\n",
"solver.compute_solution(return_value=False, verbose=True)\n",
"end = t()\n",
"\n",
"solver.plot_solution()\n",
"print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Let's analyse the performances of the random Method\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"best solution 2160.0 on 1000 trials,\n",
"with a total time of 0.59 seconds\n"
]
}
],
"source": [
"number_of_trials = 1000\n",
"found_lens = []\n",
"start = t()\n",
"for _ in range(number_of_trials):\n",
" solver.compute_solution(return_value=False, verbose=False)\n",
" found_lens.append(solver.found_length)\n",
"end = t()\n",
"fig=plt.figure(figsize=(8,6), dpi= 100, facecolor='w', edgecolor='k')\n",
"plt.ylabel(\"Solution Length\")\n",
"plt.xlabel(\"Tries\")\n",
"plt.plot(found_lens, \"*\",label=\"Random\")\n",
"plt.plot(np.ones(number_of_trials)*p_inst.best_sol, \"r-\",label=\"Optimal\")\n",
"plt.legend(loc=\"center right\")\n",
"plt.show()\n",
"\n",
"print(f\"best solution {min(found_lens)} on {number_of_trials} trials,\\nwith a total time of {np.round(end - start, 2)} seconds\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"-------------\n",
"## Constructive Algorithm\n",
"### Nearest Neighbor Method"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def alessio_marco_nn(instance_, starting_node=0): \n",
" # TODO\n",
" tour=[starting_node]\n",
" for i in range(instance_.nPoints):\n",
" next_node = np.argsort(instance_.dist_matrix[i])[0]\n",
" index=0\n",
" while next_node in tour:\n",
" index+=1\n",
" if index<instance_.nPoints:\n",
" next_node = np.argsort(instance_.dist_matrix[i])[index]\n",
" else:\n",
" break\n",
" tour.append(next_node)\n",
" # [...]\n",
" tour.append(starting_node)\n",
" return np.array(tour) \n",
"\n",
"def nn( instance_, starting_node=0): \n",
" # TODO\n",
" dist_matrix = np.copy(instance_.dist_matrix)\n",
" n = int(instance_.nPoints)\n",
" node = starting_node\n",
" tour = [node]\n",
" # Suggestion ^^^^\n",
" for _ in range(n - 1):\n",
" for new_node in np.argsort(dist_matrix[node]):\n",
" if new_node not in tour:\n",
" tour.append(new_node)\n",
" node = new_node\n",
" break\n",
" # [...]\n",
" tour.append(starting_node)\n",
" return np.array(tour)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"### solving with ['nn'] ####\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"best solution with len 680.0 \n",
"with a total time of 0.0378 seconds\n"
]
}
],
"source": [
"available_solvers = {\"random\": random_method,\n",
" \"amnn\":alessio_marco_nn,\n",
" \"nn\":nn}\n",
"\n",
"solver = TSPSolver(\"nn\", p_inst, available_solvers)\n",
"start = t()\n",
"solver.compute_solution(return_value=False, verbose=True)\n",
"end = t()\n",
"\n",
"solver.plot_solution()\n",
"print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "A25UdIeTJOp8"
},
"source": [
"### Best Nearest Neighbors"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"id": "i_cC5eA-XT0B"
},
"outputs": [],
"source": [
"def best_nn(instance):\n",
" # TODO\n",
" \n",
" # [...]\n",
" return solution\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 534
},
"id": "lRAGk5zEXW0U",
"outputId": "493f692e-ef0c-4a94-dfc9-6726e9a5ac43"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"### solving with ['best_nn'] ####\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"best solution with len 601.0 \n",
"with a total time of 0.05389 seconds\n"
]
}
],
"source": [
"available_solvers = {\"random\": random_method,\n",
" \"nn\": nn,\n",
" \"best_nn\": best_nn}\n",
"\n",
"solver = TSPSolver(\"best_nn\", p_inst, available_solvers)\n",
"start = t()\n",
"solver.compute_solution(return_value=False, verbose=True)\n",
"end = t()\n",
"\n",
"solver.plot_solution()\n",
"print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "uXtOOk25XXpR"
},
"source": [
"### Multi Fragment"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"id": "1oo-Zv7vXdTq"
},
"outputs": [],
"source": [
"def check_if_edge_available(n1, n2, sol):\n",
" return (len(sol[str(n1)]) < 2) and (len(sol[str(n2)]) < 2)\n",
"\n",
"def check_if_not_close(edge_to_append, sol):\n",
" n1, n2 = edge_to_append\n",
" from_city = n2\n",
" if len(sol[str(from_city)]) == 0:\n",
" return True\n",
" partial_tour = [from_city]\n",
" iter_num = 0\n",
" while True:\n",
" if len(sol[str(from_city)]) == 1:\n",
" if from_city == n1:\n",
" return_value = False\n",
" break\n",
" elif iter_num > 1:\n",
" return_value = True\n",
" break\n",
" else:\n",
" from_city = sol[str(from_city)][0]\n",
" partial_tour.append(from_city)\n",
" iter_num += 1\n",
" else:\n",
" for node_connected in sol[str(from_city)]:\n",
" if node_connected not in partial_tour:\n",
" from_city = node_connected\n",
" partial_tour.append(node_connected)\n",
" iter_num +=1\n",
" return return_value\n",
"\n",
"def create_solution(start_sol, sol):\n",
" assert len(start_sol)==2, \"too many cities with just one link\"\n",
" n1, n2 = start_sol\n",
" from_city = n2\n",
" sol_list = [n1, n2]\n",
" iter_num = 0\n",
" while iter_num <300:\n",
" for node_connected in sol[str(from_city)]:\n",
" iter_num += 1\n",
" if node_connected not in sol_list:\n",
" from_city = node_connected\n",
" sol_list.append(node_connected)\n",
" sol_list.append(n1)\n",
" return sol_list\n",
"\n",
"def mf(instance):\n",
" mat = np.copy(instance.dist_matrix)\n",
" mat = np.triu(mat)\n",
" mat[mat == 0] = 100000\n",
" # TODO\n",
" \n",
" #[...]\n",
" return create_solution(start_list, solution)\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 516
},
"id": "-iTyocncXg0d",
"outputId": "9a48f544-d4ef-4f57-f786-789006ca5432"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"### solving with ['multi_fragment'] ####\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"best solution with len 600.0 \n",
"with a total time of 0.00597 seconds\n"
]
}
],
"source": [
"available_solvers = {\"random\": random_method,\n",
" \"nn\":nn,\n",
" \"best_nn\":best_nn,\n",
" \"multi_fragment\": mf\n",
" }\n",
"\n",
"solver = TSPSolver(\"multi_fragment\", p_inst, available_solvers)\n",
"start = t()\n",
"solver.compute_solution(return_value=False, verbose=True)\n",
"end = t()\n",
"\n",
"solver.plot_solution()\n",
"print(f\"best solution with len {solver.found_length} \\nwith a total time of {np.round(end - start, 5)} seconds\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "lp9RXLX9Ye1M"
},
"source": [
"### Comparison Constructive methods"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 239
},
"id": "jZ4R8UZgYed7",
"outputId": "28475799-f823-42e9-91ad-b9c3ed029bdd",
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 4/4 [00:01<00:00, 2.94it/s, using multi_fragment for d198] \n"
]
}
],
"source": [
"from time import time as t\n",
"import pandas as pd\n",
"from tqdm import tqdm\n",
"\n",
"available_solvers = {\"random\": random_method,\n",
" \"nn\":nn,\n",
" \"best_nn\":best_nn,\n",
" \"multi_fragment\": mf\n",
" }\n",
"\n",
"show_plots = False\n",
"verbose = False\n",
"problems = [\"../problems/eil76.tsp\", \"../problems/kroA100.tsp\", \"../problems/ch130.tsp\", \"../problems/d198.tsp\"]\n",
"methods = available_solvers.keys()\n",
"results = []\n",
"index = []\n",
"with tqdm(problems) as tq:\n",
" for filename in tq:\n",
" p_inst = ProblemInstance(filename)\n",
" if verbose:\n",
" print(\"\\n\\n#############################\")\n",
" p_inst.print_info()\n",
" if show_plots:\n",
" p_inst.plot_data()\n",
"\n",
" for method in methods:\n",
" tq.set_postfix_str(f\"using {method} for {p_inst.name}\")\n",
" solver = TSPSolver(method, p_inst, available_solvers)\n",
" start = t()\n",
" solver.compute_solution(return_value=False, verbose=verbose)\n",
" end = t()\n",
" if verbose: \n",
" print(f\"the total length for the solution found is {solver.found_length}\",\n",
" f\"while the optimal length is {p_inst.best_sol}\",\n",
" f\"the gap is {solver.gap} %\",\n",
" f\"the solution is found in {np.round(end - start, 5)} seconds\",sep=\"\\n\")\n",
" index.append((filename[12:], method))\n",
" results.append([solver.found_length, p_inst.best_sol, solver.gap, end - start])\n",
"\n",
" if show_plots:\n",
" solver.plot_solution()\n",
"\n",
" if p_inst.exist_opt and show_plots:\n",
" solver = TSPSolver(\"optimal\", p_inst)\n",
" solver.solved = True\n",
" solver.solution = np.concatenate([p_inst.optimal_tour, [p_inst.optimal_tour[0]]])\n",
" solver.plot_solution()\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"id": "v8iJZ1QtY6WM"
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th></th>\n",
" <th>tour length</th>\n",
" <th>optimal solution</th>\n",
" <th>gap</th>\n",
" <th>time to solve</th>\n",
" </tr>\n",
" <tr>\n",
" <th>problem</th>\n",
" <th>method</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th rowspan=\"4\" valign=\"top\">eil76.tsp</th>\n",
" <th>random</th>\n",
" <td>2616.0</td>\n",
" <td>538.0</td>\n",
" <td>386.25</td>\n",
" <td>0.000970</td>\n",
" </tr>\n",
" <tr>\n",
" <th>nn</th>\n",
" <td>680.0</td>\n",
" <td>538.0</td>\n",
" <td>26.39</td>\n",
" <td>0.000997</td>\n",
" </tr>\n",
" <tr>\n",
" <th>best_nn</th>\n",
" <td>601.0</td>\n",
" <td>538.0</td>\n",
" <td>11.71</td>\n",
" <td>0.049906</td>\n",
" </tr>\n",
" <tr>\n",
" <th>multi_fragment</th>\n",
" <td>600.0</td>\n",
" <td>538.0</td>\n",
" <td>11.52</td>\n",
" <td>0.005983</td>\n",
" </tr>\n",
" <tr>\n",
" <th rowspan=\"4\" valign=\"top\">kroA100.tsp</th>\n",
" <th>random</th>\n",
" <td>163891.0</td>\n",
" <td>21282.0</td>\n",
" <td>670.09</td>\n",
" <td>0.001030</td>\n",
" </tr>\n",
" <tr>\n",
" <th>nn</th>\n",
" <td>27807.0</td>\n",
" <td>21282.0</td>\n",
" <td>30.66</td>\n",
" <td>0.001961</td>\n",
" </tr>\n",
" <tr>\n",
" <th>best_nn</th>\n",
" <td>24815.0</td>\n",
" <td>21282.0</td>\n",
" <td>16.60</td>\n",
" <td>0.101760</td>\n",
" </tr>\n",
" <tr>\n",
" <th>multi_fragment</th>\n",
" <td>24287.0</td>\n",
" <td>21282.0</td>\n",
" <td>14.12</td>\n",
" <td>0.007005</td>\n",
" </tr>\n",
" <tr>\n",
" <th rowspan=\"4\" valign=\"top\">ch130.tsp</th>\n",
" <th>random</th>\n",
" <td>44209.0</td>\n",
" <td>6110.0</td>\n",
" <td>623.55</td>\n",
" <td>0.001029</td>\n",
" </tr>\n",
" <tr>\n",
" <th>nn</th>\n",
" <td>7578.0</td>\n",
" <td>6110.0</td>\n",
" <td>24.03</td>\n",
" <td>0.002980</td>\n",
" </tr>\n",
" <tr>\n",
" <th>best_nn</th>\n",
" <td>6880.0</td>\n",
" <td>6110.0</td>\n",
" <td>12.60</td>\n",
" <td>0.206479</td>\n",
" </tr>\n",
" <tr>\n",
" <th>multi_fragment</th>\n",
" <td>7849.0</td>\n",
" <td>6110.0</td>\n",
" <td>28.46</td>\n",
" <td>0.017952</td>\n",
" </tr>\n",
" <tr>\n",
" <th rowspan=\"4\" valign=\"top\">d198.tsp</th>\n",
" <th>random</th>\n",
" <td>188837.0</td>\n",
" <td>15780.0</td>\n",
" <td>1096.69</td>\n",
" <td>0.001047</td>\n",
" </tr>\n",
" <tr>\n",
" <th>nn</th>\n",
" <td>18975.0</td>\n",
" <td>15780.0</td>\n",
" <td>20.25</td>\n",
" <td>0.005039</td>\n",
" </tr>\n",
" <tr>\n",
" <th>best_nn</th>\n",
" <td>17565.0</td>\n",
" <td>15780.0</td>\n",
" <td>11.31</td>\n",
" <td>0.694035</td>\n",
" </tr>\n",
" <tr>\n",
" <th>multi_fragment</th>\n",
" <td>17111.0</td>\n",
" <td>15780.0</td>\n",
" <td>8.43</td>\n",
" <td>0.065004</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" tour length optimal solution gap \\\n",
"problem method \n",
"eil76.tsp random 2616.0 538.0 386.25 \n",
" nn 680.0 538.0 26.39 \n",
" best_nn 601.0 538.0 11.71 \n",
" multi_fragment 600.0 538.0 11.52 \n",
"kroA100.tsp random 163891.0 21282.0 670.09 \n",
" nn 27807.0 21282.0 30.66 \n",
" best_nn 24815.0 21282.0 16.60 \n",
" multi_fragment 24287.0 21282.0 14.12 \n",
"ch130.tsp random 44209.0 6110.0 623.55 \n",
" nn 7578.0 6110.0 24.03 \n",
" best_nn 6880.0 6110.0 12.60 \n",
" multi_fragment 7849.0 6110.0 28.46 \n",
"d198.tsp random 188837.0 15780.0 1096.69 \n",
" nn 18975.0 15780.0 20.25 \n",
" best_nn 17565.0 15780.0 11.31 \n",
" multi_fragment 17111.0 15780.0 8.43 \n",
"\n",
" time to solve \n",
"problem method \n",
"eil76.tsp random 0.000970 \n",
" nn 0.000997 \n",
" best_nn 0.049906 \n",
" multi_fragment 0.005983 \n",
"kroA100.tsp random 0.001030 \n",
" nn 0.001961 \n",
" best_nn 0.101760 \n",
" multi_fragment 0.007005 \n",
"ch130.tsp random 0.001029 \n",
" nn 0.002980 \n",
" best_nn 0.206479 \n",
" multi_fragment 0.017952 \n",
"d198.tsp random 0.001047 \n",
" nn 0.005039 \n",
" best_nn 0.694035 \n",
" multi_fragment 0.065004 "
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"index = pd.MultiIndex.from_tuples(index, names=['problem', 'method'])\n",
"\n",
"df = pd.DataFrame(results, index=index, columns=[\"tour length\", \"optimal solution\", \"gap\", \"time to solve\"])\n",
"df"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "PyCharm (AI2020BsC)",
"language": "python",
"name": "pycharm-61970693"
},
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"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
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