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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1><center>Guide Notebook for the 380CT Assignment on TSP</center></h1>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"_Kamal Bentahar_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"https://github.coventry.ac.uk/ab3735/380CT_2023_TSP-Guidance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```\n",
"DISCLAIMER:\n",
"\n",
"- This is only meant to help you get started.\n",
"- Be ware! Care is not taken into checking validity of paramters, etc. -- simplicity of code for understanding is favoured (mostly).\n",
"- There may be bugs! Please report them. Thanks.\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1) Notation and definitions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let $G$ be a [complete]( \"graph is undirected, has no self-loops, and each node is connected to all the other vertices\") [weighted]( \"the edges have a weight (a positive integer)\") graph with $n$ vertices."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Optimisation TSP**:\n",
"> Given $G$, find a cycle of minimal total cost.\n",
"\n",
"Here:\n",
"- A *cycle* is a path that visits every vertex once, and goes back to the start point.\n",
"- The *total cost of the cycle* is the sum of the edge weights of the cycle.\n",
"\n",
"This problem is **NP-Hard** because its decision version is **NP-complete** (Garey and Johnson, 1979, p. 211)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2) Testing methodology"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* **Exact method (Exhaustive search)**:\n",
" Average _time_ for instances with increasing $n$.\n",
"\n",
"* **Greedy and meta-heuristics**:\n",
" Average _time_ and _\"quality\"_ as $n$ increases.\n",
"\n",
"Instances will be generated randomly as shown in the next subsection."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2.1) Random instances sampling strategy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Four types of TSP instances will be generated by creating an **adjacency matrices** $M$ as follows:\n",
"1. **Asymmetric**: The edge weights are independent and uniformly random in an interval $[1,\\text{MAX\\_WEIGHT}]$, i.e the graph is assumed to be directed.\n",
"2. **Symmetric**: Like the asymmetric case but the graph is undirected, and the matrix is therefore symmetric: $M_{ij}=M_{ji}$.\n",
"3. **Euclidean**: Generate points using $(x,y)$ coordinates, then generate the adjacency matrix by calculating all the required distances. Recall that the distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $\\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$. The points are generated in the rectangle defined by the points $(0,0)$ and $(\\text{MAX\\_Y},\\text{MAX\\_Y})$.\n",
"4. **Graphs with obvious shortest cycle**: A graph where all the distances are 2 except for the edges on a predefined cycle, where the distance is 1. Such a graph would be useful for testing/debugging the \"nearest neighbour greedy\" search."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Implementation of the instances generation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First start by importing relevant libraries."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from random import randint, shuffle # random integers and random shuffling of a list\n",
"from itertools import permutations # iterate over all possible permutations of a list\n",
"from itertools import chain # concatenate range()'s'\n",
"from math import inf as oo # Infinity (∞) is larger than any number\n",
"from math import sqrt, log, factorial # square root, logarithm, and n!\n",
"from time import perf_counter # for measuring time. NB. 'perf_counter' is better/more accurate than 'time'\n",
"import networkx as nx # to draw sample graphs\n",
"import pandas as pd # to show the adjacency matrix in a nice format\n",
"import matplotlib.pyplot as plt # to plot graphs of time and quality vs n\n",
"import seaborn as sns # nice statistical plots -- see e.g. https://seaborn.pydata.org/tutorial/relational.html#relational-tutorial\n",
"sns.set_style(\"white\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Basics"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let the set of vertices be $\\{0, 1, 2,\\ldots, n-1\\}$.\n",
"\n",
"For simplicity, we will consider $0$ to be the start and end point of cycles."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"class Graph:\n",
" ''' Random graphs '''\n",
" def __init__(self, n=0, type='asymmetric', MAX_WEIGHT=100, MAX_X=200, MAX_Y=200):\n",
" self.n = n\n",
" self.vertices = list(range(n)) # [0,1,...,n-1]\n",
" self.type = type\n",
" self.adj_matrix = [[oo for i in range(n)] for j in range(n)]\n",
" # Generate a random adjacency matrix according to the required type\n",
" if type=='symmetric': self.__random_symmetric_graph(n,MAX_WEIGHT)\n",
" elif type=='Euclidean': self.__random_euclidean_graph(n,MAX_X,MAX_Y)\n",
" elif type=='easy': self.__random_cycle_graph(n)\n",
" else: self.__random_asymmetric_graph(n,MAX_WEIGHT) # assume 'asymmetric' otherwise\n",
" \n",
" def __getitem__(self, i):\n",
" ''' Allow indexing to get the weights '''\n",
" return self.adj_matrix[i]\n",
" \n",
" def __random_asymmetric_graph(self,n, MAX_WEIGHT):\n",
" ''' Asymmetric adjacency matrix of size nxn '''\n",
" for i in range(n):\n",
" for j in range(n):\n",
" if i==j: continue # no self-loops\n",
" self.adj_matrix[i][j] = randint(1,MAX_WEIGHT)\n",
"\n",
" def __random_symmetric_graph(self,n,MAX_WEIGHT):\n",
" ''' Symmetric adjacency matrix of size nxn '''\n",
" for i in range(n):\n",
" for j in range(i+1,n):\n",
" w = randint(1,MAX_WEIGHT)\n",
" self.adj_matrix[i][j] = w\n",
" self.adj_matrix[j][i] = w\n",
"\n",
" def __random_cycle_graph(self,n):\n",
" ''' Symmetric adjacency matrix of size nxn with one reandomly chosen cycle\n",
" All the edge weights are 2 except for the cycle (weight=1) '''\n",
" self.adj_matrix = [[2 for _ in range(n)] for _ in range(n)] # All weights=2\n",
" # Select a random cycle which will have weight=1\n",
" cycle = list(range(1,n)) # don't include 0 as we want to be at the start\n",
" shuffle(cycle) # in-place random permutation\n",
" cycle = [0]+cycle+[0] # cycle starting and ending at 0\n",
" for a,b in zip(cycle, cycle[1:]): # set the cycle's weights to 1\n",
" self.adj_matrix[a][b] = 1\n",
" self.adj_matrix[b][a] = 1\n",
"\n",
" def __random_euclidean_graph(self,n,MAX_X,MAX_Y):\n",
" ''' Symmetric adjacency matrix of a Euclidean graph of size nxn '''\n",
" # (1/2) Generate random (x,y) points\n",
" points = set()\n",
" while len(points)<n: # We may get duplicate (x,y) so we try until we get enough points\n",
" x,y = randint(0,MAX_X), randint(0,MAX_Y)\n",
" points.add((x,y))\n",
" points = list(points) # Sets are not indexed, so convert into a list\n",
" # (2/2) Now compute the adjacency matrix\n",
" for i in range(n):\n",
" p1 = points[i]\n",
" for j in range(i+1,n):\n",
" p2 = points[j]\n",
" distance = sqrt((p1[0]-p2[0])**2+(p1[1]-p2[1])**2)\n",
" self.adj_matrix[i][j] = distance\n",
" self.adj_matrix[j][i] = distance\n",
" self.points=points"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def cost(G, cycle):\n",
" ''' Calculate the cost of the given cycle [0,...,0] in G '''\n",
" return sum(G[a][b] for a,b in zip(cycle, cycle[1:]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Functions to show the graphs as **adjacency matrices** or as a **drawing**:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def show(G):\n",
" ''' Show adjacency matrix. Useful for debugging.\n",
" 'type' is a string from: Euclidean, Cycle, ...\n",
" The distances are round to 1 decimal point for clarity/simplicity\n",
" '''\n",
" print(f\"{G.n}x{G.n} {G.type} graph:\")\n",
" if G.type=='Euclidean': print(\"Points:\",G.points)\n",
" r = pd.DataFrame({str(i): G[i] for i in range(G.n)})\n",
" display(r)\n",
" \n",
"def nx_graph(G):\n",
" ''' Convert G into NetworkX format '''\n",
" nxG = nx.Graph() if G.type!='asymmetric' else nx.DiGraph() # undirected/directed graph\n",
" nxG.add_nodes_from(G.vertices) # Add the vertices\n",
" # Now add the edges\n",
" for a in G.vertices:\n",
" for b in G.vertices:\n",
" if a==b: continue # no self-loops\n",
" nxG.add_edge(a, b, weight=G[a][b]) \n",
" if G.type=='Euclidean': # add (x,y) coordinates if available\n",
" pos=dict(enumerate(G.points)) # vertex:(x,y) pairs\n",
" nx.set_node_attributes(nxG, pos, 'coord')\n",
" return nxG\n",
"\n",
"def draw(G):\n",
" ''' Draw the graph G using NetworkX '''\n",
" nxG = nx_graph(G)\n",
" weights_dictionary = nx.get_edge_attributes(nxG,'weight')\n",
" edges,weights = zip(*weights_dictionary.items())\n",
" pos = nx.circular_layout(nxG) if G.type!='Euclidean' else nx.get_node_attributes(nxG,'coord')\n",
" nx.draw(nxG, pos, \\\n",
" with_labels=True, node_color='red', font_color='white', font_weight='bold', font_size=14,\\\n",
" edge_color=weights, width=1.5, edge_cmap=plt.cm.copper)\n",
" # see https://matplotlib.org/stable/gallery/color/colormap_reference.html\n",
" nx.draw_networkx_edge_labels(nxG, pos, edge_labels=weights_dictionary, label_pos=0.5 if G.type!=\"asymmetric\" else 0.25)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Examples of the different graph types"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8x8 easy graph:\n"
]
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(8,'easy')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5x5 symmetric graph:\n"
]
},
{
"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>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" <th>3</th>\n",
" <th>4</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>inf</td>\n",
" <td>12.0</td>\n",
" <td>40.0</td>\n",
" <td>76.0</td>\n",
" <td>24.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>12.0</td>\n",
" <td>inf</td>\n",
" <td>2.0</td>\n",
" <td>31.0</td>\n",
" <td>95.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>40.0</td>\n",
" <td>2.0</td>\n",
" <td>inf</td>\n",
" <td>72.0</td>\n",
" <td>65.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>76.0</td>\n",
" <td>31.0</td>\n",
" <td>72.0</td>\n",
" <td>inf</td>\n",
" <td>2.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>24.0</td>\n",
" <td>95.0</td>\n",
" <td>65.0</td>\n",
" <td>2.0</td>\n",
" <td>inf</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4\n",
"0 inf 12.0 40.0 76.0 24.0\n",
"1 12.0 inf 2.0 31.0 95.0\n",
"2 40.0 2.0 inf 72.0 65.0\n",
"3 76.0 31.0 72.0 inf 2.0\n",
"4 24.0 95.0 65.0 2.0 inf"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(5,'symmetric')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3x3 Euclidean graph:\n",
"Points: [(199, 101), (145, 46), (52, 140)]\n"
]
},
{
"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>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>inf</td>\n",
" <td>77.077883</td>\n",
" <td>152.085502</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>77.077883</td>\n",
" <td>inf</td>\n",
" <td>132.230859</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>152.085502</td>\n",
" <td>132.230859</td>\n",
" <td>inf</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2\n",
"0 inf 77.077883 152.085502\n",
"1 77.077883 inf 132.230859\n",
"2 152.085502 132.230859 inf"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(3,'Euclidean')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3x3 asymmetric graph:\n"
]
},
{
"data": {
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>inf</td>\n",
" <td>3.0</td>\n",
" <td>71.0</td>\n",
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" <th>1</th>\n",
" <td>73.0</td>\n",
" <td>inf</td>\n",
" <td>17.0</td>\n",
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" <td>35.0</td>\n",
" <td>51.0</td>\n",
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"</div>"
],
"text/plain": [
" 0 1 2\n",
"0 inf 3.0 71.0\n",
"1 73.0 inf 17.0\n",
"2 35.0 51.0 inf"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = Graph(3,'asymmetric')\n",
"show(G)\n",
"draw(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3) Solution methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.1) Exact method - Exhaustive search"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Idea"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The idea is to:\n",
"- Consider vertex $0$ as the start and end point.\n",
"- Iterate over all permutations of the vertices $\\{1,2,\\ldots, n-1\\}$.\n",
" - Calculate cost of each permutation and keep track of minimum cost permutation.\n",
"- Return the cycle with minimum cost.\n",
"\n",
"More formally, the pseudo-code is as follows:\n",
"\n",
"**Input**: $G$.\n",
"\n",
"**Output**: a cycle in $G$ of shortest cost."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Pseudocode"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. $bestcycle\\gets \\emptyset$\n",
"2. $bestcost\\gets \\infty$\n",
"3. **for all** possible cycles $p$ in $G$ (starting and ending at $0$) **do**\n",
"4. $\\quad$ $c\\gets$ cost of $p$\n",
"2. $\\quad$ **if** $c<bestcost$ **then**\n",
"3. $\\qquad$ $bestcycle\\gets p$\n",
"3. $\\qquad$ $bestcost\\gets c$\n",
"4. $\\quad$ **end if**\n",
"5. **end for**\n",
"6. **return** $bestcycle, bestcost$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Running time analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are $(n-1)!$ possible cycles, and each computation of a cycle's cost costs $O(n)$. So this algorithm costs $$O((n-1)!\\cdot n)=O(n!).$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Implementation"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"def exhaustive_search(G):\n",
" ''' Perform exhaustive search on G for the shortest TSP tour\n",
" Returns the best cycle and its cost (tuple) '''\n",
" best_cost = oo # infinity\n",
" best_cycle = []\n",
" for cycle in permutations(range(1,G.n)): # permutations of [1,2,...,n-1]\n",
" cycle=[0]+list(cycle)+[0] # add the starting city: 0\n",
" c = cost(G, cycle)\n",
" if c < best_cost:\n",
" best_cost = c\n",
" best_cycle = cycle\n",
" return (best_cycle, best_cost)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us check it works on a **cycle graph**:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8x8 easy graph:\n"
]
},
{
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G=Graph(8,'easy')\n",
"show(G)\n",
"draw(G)\n",
"exhaustive_search(G)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Testing exhaustive search time cost"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Test completely random graphs:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7, 8, 9, 10, 11, "
]
}
],
"source": [
"MAX_REPETITIONS = 5\n",
"MAX_n = 11\n",
"\n",
"exhaustive_data = pd.DataFrame(columns=['n', 'time'])\n",
"\n",
"i=0\n",
"for n in range(7,MAX_n+1):\n",
" print(n, end=', ')\n",
" for repetitions in range(MAX_REPETITIONS):\n",
" G = Graph(n)\n",
" # Time the search\n",
" t0 = perf_counter()\n",
" exhaustive_search(G)\n",
" t1 = perf_counter()\n",
" # Record the data\n",
" exhaustive_data.loc[i] = [n, t1-t0]\n",
" i += 1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us compute some statistics on the the times that we have just measured."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"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 tr th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe thead tr:last-of-type th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"4\" halign=\"left\">time</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>min</th>\n",
" <th>max</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>7.0</th>\n",
" <td>0.001390</td>\n",
" <td>0.002090</td>\n",
" <td>0.001809</td>\n",
" <td>0.000347</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8.0</th>\n",
" <td>0.006382</td>\n",
" <td>0.020002</td>\n",
" <td>0.014094</td>\n",
" <td>0.004891</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9.0</th>\n",
" <td>0.060288</td>\n",
" <td>0.084854</td>\n",
" <td>0.072518</td>\n",
" <td>0.010048</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>1.104993</td>\n",
" <td>1.188788</td>\n",
" <td>1.159427</td>\n",
" <td>0.033998</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11.0</th>\n",
" <td>5.851149</td>\n",
" <td>7.399030</td>\n",
" <td>6.325944</td>\n",
" <td>0.617343</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time \n",
" min max mean std\n",
"n \n",
"7.0 0.001390 0.002090 0.001809 0.000347\n",
"8.0 0.006382 0.020002 0.014094 0.004891\n",
"9.0 0.060288 0.084854 0.072518 0.010048\n",
"10.0 1.104993 1.188788 1.159427 0.033998\n",
"11.0 5.851149 7.399030 6.325944 0.617343"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"exhaustive_data.groupby('n').agg(['min','max','mean','std'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us plot this data to see it visually.\n",
"We will use the following convention:\n",
"- The blue dots are the actual measurements.\n",
"- The solid red line is the mean time.\n",
"- The light red shade shows the standard deviation around the mean."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(12, 6))\n",
"sns.scatterplot(data=exhaustive_data, x='n', y='time', ax=ax)\n",
"sns.lineplot(data=exhaustive_data, x='n', y='time', errorbar='sd', color='red', ax=ax)\n",
"plt.title('Running time')\n",
"plt.xlabel('n')\n",
"plt.ylabel('Time (s)')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Theoretically, the ratio of \"the time taken for a graph of size $n$\" to $n!$ should approach a constant, as $n$ gets larger and larger. Let us check and estimate this constant."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"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>time</th>\n",
" <th>time/n!</th>\n",
" </tr>\n",
" <tr>\n",
" <th>n</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>7.0</th>\n",
" <td>0.001809</td>\n",
" <td>3.589444e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8.0</th>\n",
" <td>0.014094</td>\n",
" <td>3.495486e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9.0</th>\n",
" <td>0.072518</td>\n",
" <td>1.998415e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10.0</th>\n",
" <td>1.159427</td>\n",
" <td>3.195071e-07</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11.0</th>\n",
" <td>6.325944</td>\n",
" <td>1.584782e-07</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" time time/n!\n",
"n \n",
"7.0 0.001809 3.589444e-07\n",
"8.0 0.014094 3.495486e-07\n",
"9.0 0.072518 1.998415e-07\n",
"10.0 1.159427 3.195071e-07\n",
"11.0 6.325944 1.584782e-07"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"exhaustive_data['time/n!'] = exhaustive_data['time']/exhaustive_data['n'].transform(int).transform(factorial)\n",
"exhaustive_data.groupby('n').mean()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='n', ylabel='time/n!'>"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<Figure size 1600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ratio = plt.subplots(figsize=(16, 4))\n",
"sns.scatterplot(data=exhaustive_data, x='n', y='time/n!', alpha=0.3, ax=ratio, color='#777') # actual data\n",
"sns.lineplot (data=exhaustive_data, x='n', y='time/n!', alpha=0.3, errorbar='sd', ax=ratio, color='red') # mean"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Discussion"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Exhaustive search exhibits combinatorial running time $O(n!)$:\n",
"* So it is only useful/possible when $n$ is small, up to about 13 on the current machine if it needs to finish within an hour."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3.2) Approximation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.2.1) Greedy search"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Nearest neigbours"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Idea\n",
"\n",
"Start at city 0, move to the nearest city, then from there to the next nearest city, and so on, until all cities are visited. Finally, return back to the start city."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Pseudocode\n",
"\n",
"1. $city \\gets 0$\n",
"2. $visited\\gets []$\n",
"3. **while** not all cities are visited **do**\n",
"4. $\\quad$ $nearest\\_city \\gets \\text{nearest city to $city$ that has not been visited yet}$\n",
"5. $\\quad$ Append $city$ to $visited$ $\\qquad\\qquad\\text{(i.e. mark $city$ as visited)}$\n",
"5. $\\quad$ $city\\gets nearest\\_city$\n",
"6. **end while**\n",
"8. **return** $visited$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Running time analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The while-loop costs $O(n)$, and searching for the nearest city on line 4 costs $O(n)$ also, while the rest can be assumed to cost $O(1)$.\n",
"So the total cost of this greedy approach is therefore $O(n)\\times O(n) = O(n^2)$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Implementation"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"def greedy_nearest_neighbour(G):\n",
" ''' Returns best found cycle and its cost '''\n",
" unvisited = G.vertices.copy()\n",
" visited = [] # solution to be built\n",
" city = 0 # Start city\n",
" while len(unvisited)>0:\n",
" # Find nearest neighbour\n",
" nearest_city = None\n",
" shortest_distance = oo\n",
" for neighbour in unvisited:\n",
" if G[city][neighbour] < shortest_distance:\n",
" shortest_distance = G[city][neighbour]\n",
" nearest_city = neighbour\n",
" # Update 'cycle' and 'cities' and G then 'city'\n",
" visited.append(city)\n",
" unvisited.remove(city)\n",
" city = nearest_city\n",
" return (visited, cost(G, visited+[0]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Example"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5x5 easy graph:\n"
]
},
{
"data": {
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" <td>1</td>\n",
" <td>2</td>\n",
" <td>2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3 4\n",
"0 2 2 2 1 1\n",
"1 2 2 1 1 2\n",
"2 2 1 2 2 1\n",
"3 1 1 2 2 2\n",
"4 1 2 1 2 2"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"([0, 3, 1, 2, 4], 5)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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