From fb2953bc6fa5c8df9152e8a0a73baada23061571 Mon Sep 17 00:00:00 2001 From: Felix Martin Date: Tue, 21 Jan 2020 22:53:31 -0500 Subject: [PATCH] Finish Discrete Optimization. --- tsp/map.py | 41 ++++++----- tsp/tsp.py | 39 ++++++---- vrp/map.py | 1 + vrp/plots/step_0.png | Bin 0 -> 688291 bytes vrp/solver.py | 11 +-- vrp/tsp.py | 1 + vrp/vrp.py | 168 +++++++++++++++++++++++++++++++++++++++---- 7 files changed, 208 insertions(+), 53 deletions(-) create mode 120000 vrp/map.py create mode 100644 vrp/plots/step_0.png create mode 120000 vrp/tsp.py diff --git a/tsp/map.py b/tsp/map.py index f4fb20f..115268f 100644 --- a/tsp/map.py +++ b/tsp/map.py @@ -6,10 +6,9 @@ class Map(object): # and neighbor regions. We can actually cluster in O(n) when we know how # high and wide the clusters are. Once we have that working we go from # there - CLUSTERS_X = 4 # How many points we want per cluster. - def __init__(self): - pass + def __init__(self, n_clusters): + self.CLUSTERS_X = n_clusters def calc_corners(self, points): x_min, x_max = float("inf"), float("-inf") @@ -95,26 +94,30 @@ class Map(object): self.add_neighbors_to_points(points) return points - def plot(self, points): + def plot_grid(self, plt): + if plt is None: + return + for x_i in range(self.clusters_x + 1): + x_1 = self.x_min + x_i * self.cluster_x_dim + x_2 = x_1 + y_1 = self.y_min + y_2 = self.y_max + plt.plot([x_1, x_2], [y_1, y_2], 'y:', linewidth=0.1) + for y_i in range(self.clusters_y + 1): + x_1 = self.x_min + x_2 = self.x_max + y_1 = self.y_min + y_i * self.cluster_y_dim + y_2 = y_1 + plt.plot([x_1, x_2], [y_1, y_2], 'y:', linewidth=0.1) + + def plot(self, points, plt): + if plt is None: + return try: import matplotlib.pyplot as plt except ModuleNotFoundError: return - def plot_grid(): - for x_i in range(self.clusters_x + 1): - x_1 = self.x_min + x_i * self.cluster_x_dim - x_2 = x_1 - y_1 = self.y_min - y_2 = self.y_max - plt.plot([x_1, x_2], [y_1, y_2], 'b:') - for y_i in range(self.clusters_y + 1): - x_1 = self.x_min - x_2 = self.x_max - y_1 = self.y_min + y_i * self.cluster_y_dim - y_2 = y_1 - plt.plot([x_1, x_2], [y_1, y_2], 'b:') - def plot_arrows(): for i in range(len_points): p1 = points[i - 1] @@ -140,6 +143,6 @@ class Map(object): len_points = len(points) plot_points() - plot_grid() + self.plot_grid(plt) plot_arrows() plt.show() diff --git a/tsp/tsp.py b/tsp/tsp.py index 24045cf..c15144d 100644 --- a/tsp/tsp.py +++ b/tsp/tsp.py @@ -2,7 +2,11 @@ import math import time from functools import lru_cache from random import shuffle, choice, uniform -from map import Map +from map import Map as ClusterMap +try: + import matplotlib.pyplot as plt +except ModuleNotFoundError: + plt = None @lru_cache(maxsize=100000) @@ -53,12 +57,6 @@ class Point(object): neighbors = [(n, distance(self, n)) for n in neighbors] self.neighbors = sorted(neighbors, key=lambda t: t[1]) - def copy(self): - p = Point(self.id, self.x, self.y) - p.index = self.index - p.neighbors = self.neighbors - return p - def __str__(self): # m = "P_{}({}, {})".format(self.index, self.x, self.y) # m = "P_{}({}, {})".format(self.index, self.cluster_x, self.cluster_y) @@ -120,7 +118,7 @@ def swap_edges(i, j, points, current_distance=0): def k_opt(p1, route): steps = [] ignore_set = set() - for _ in range(5): + for _ in range(10): p2 = route.points[(p1.index + 1) % route.len_points] dist_p1p2 = distance(p1, p2) ignore_set.add(p2) @@ -177,6 +175,7 @@ def local_search_k_opt(route, goal, m): no_improvement_iterations += 1 if no_improvement_iterations > 10: + break # print("[random k-opt] current_total={}".format(current_total)) while True: point = choice(route.points) @@ -190,7 +189,7 @@ def local_search_k_opt(route, goal, m): if current_total < goal: return - +# class Route(object): def __init__(self, points): @@ -324,9 +323,18 @@ class Route(object): p.index = i -def solve_it_(input_data): +def solve_tsp(points): + r = Route(points) + m = ClusterMap(2) + m.cluster(r.points) + r.route_from_clusters(m) + local_search_k_opt(r, 0, m) + return r.points + + +def solve_it(input_data): r = Route(parse_input_data(input_data)) - m = Map() + m = ClusterMap(4) m.cluster(r.points) goal = {51: 429, # 4 @@ -340,12 +348,13 @@ def solve_it_(input_data): r.route_from_clusters(m) local_search_k_opt(r, goal, m) - m.plot(r.points) + m.plot(r.points, plt) r.verify_total_distance() return prepare_output_data(r.points) -def solve_it(input_data): + +def solve_it_(input_data): r = Route(parse_input_data(input_data)) n = len(r.points) if n == 51: @@ -369,11 +378,11 @@ def solve_it(input_data): if __name__ == "__main__": # file_location = "data/tsp_6_1" - # file_location = "data/tsp_51_1" + file_location = "data/tsp_51_1" # file_location = "data/tsp_100_3" # file_location = "data/tsp_200_2" # file_location = "data/tsp_574_1" - file_location = "data/tsp_1889_1" + # file_location = "data/tsp_1889_1" # file_location = "data/tsp_33810_1" with open(file_location, 'r') as input_data_file: input_data = input_data_file.read() diff --git a/vrp/map.py b/vrp/map.py new file mode 120000 index 0000000..143b3ec --- /dev/null +++ b/vrp/map.py @@ -0,0 +1 @@ +../tsp/map.py \ No newline at end of file diff --git a/vrp/plots/step_0.png b/vrp/plots/step_0.png new file mode 100644 index 0000000000000000000000000000000000000000..4dd50e1bebd70bf4a5b9a659ffda93e0cb183fe3 GIT binary patch literal 688291 zcmeFZWmJ`W`z^faR7weHkd*EYr9o+=8%4UMOAwF}kuZ>wmXvN#LJNUPfu$Q@nzE0~dinTv1k%(?TFHjSvX*=h&F= z6~CW|b;Eq6WF(QAXc;`ra!52k5MaJhG(ovT<{NBI}$b zUoRyeysR#GU-z^5Ovl(oR#QXgxo7a7bJsMAEuL2VkJBN2rw0qym%leHzoTe2*?zSx zx!nCyC5Kq;O*m+savGCb9gAUMpaNyVEf}e4vmyQ zHsW}*X12fRektE@jt;x))|BX5=^z?qW##TKUqXtCZrP1|h*F5XktrWd>H=?A*py33 zL=>_*n1_Zitg;KQtrZy?|4o7WPc9gJ4y^oBPJ4HWS(`mc#a=ixGSb1!*H>($)GVIU 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z8xiH-A5|Cnd)G06&8=5Sx&FR%_oWw9P4V!K$u6KFf`+<}WM8FD zyW$jw{w?f^{@%*p3&-off{XGm`mq0&?BS!)f?v&kOOyU{Ny&pZN8l&h1uZr2{387b zo!;Iz9pC-yj{g1$ynfAb*~{<&ZT2>Du6b%|kHM#fe_67)Q}93kZZ_D081mmQ?iT;^ sBk=W&)BpRY{_h+AcT4_1T_q><#A= customer.demand + for customer in remaining_customers]) > 0: + used = set() + order = sorted(remaining_customers, + key=lambda customer: -customer.demand) + for customer in order: + if capacity_remaining >= customer.demand: + capacity_remaining -= customer.demand + self.vehicle_tours[v].append(customer) + used.add(customer) + remaining_customers -= used + + assert sum([len(v) for v in self.vehicle_tours]) == len(self.customers) + + def optimize_tours(self): + for t in self.vehicle_tours: + t.append(self.depot) + + self.vehicle_tours = [solve_tsp(t) if len(t) > 1 else t + for t in self.vehicle_tours] + new_tours = [] + for tour in self.vehicle_tours: + for i, customer in enumerate(tour): + if customer.id == 0: + depot_index = i + break + new_tour = tour[i + 1:] + tour[:i] + new_tours.append(new_tour) + assert(len(tour) - 1== len(new_tour)) + self.vehicle_tours = new_tours + + def make_routes(self): + self.order_customers_by_clusters() + self.vehicle_tours = [[] for _ in range(self.vehicle_count)] + self.vehicle_capacities = [self.vehicle_capacity + for _ in range(self.vehicle_count)] + for c in self.customers: + for i, tour in enumerate(self.vehicle_tours): + if c.demand < self.vehicle_capacities[i]: + self.vehicle_capacities[i] -= c.demand + tour.append(c) + break + else: + raise Exception("No tour for {}.".format(c)) def to_output(self): - return "" + obj = 0 + for v in range(0, self.vehicle_count): + vehicle_tour = self.vehicle_tours[v] + if len(vehicle_tour) > 0: + obj += length(self.depot, vehicle_tour[0]) + for i in range(0, len(vehicle_tour) - 1): + obj += length(vehicle_tour[i],vehicle_tour[i + 1]) + obj += length(vehicle_tour[-1], self.depot) + outputData = '%.2f' % obj + ' ' + str(0) + '\n' - for v in range(0, vehicle_count): - outputData += str(depot.index) + ' ' + ' '.join([str(customer.index) for customer in vehicle_tours[v]]) + ' ' + str(depot.index) + '\n' + for v in range(0, self.vehicle_count): + outputData += str(self.depot.id) + ' ' + ' '.join( + [str(customer.id) for customer in self.vehicle_tours[v]]) \ + + ' ' + str(self.depot.id) + '\n' return outputData def solve_it(input_data): vrp = Vrp(input_data) + if len(vrp.customers) in [25, 199]: + vrp.solve_trivial() + else: + vrp.make_routes() + vrp.optimize_tours() vrp.plot() - print(vrp.customer_count) - return vrp.to_output() if __name__ == "__main__": - file_location = "data/vrp_16_3_1" + file_location = "data/vrp_16_3_1" + file_location = "data/vrp_51_5_1" with open(file_location, 'r') as f: print(solve_it(f.read())) -