/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the solution. var solution = new MaxTimeSolution(problem.Size); // keep placing customer until none are left. var customers = new List <int>(problem.Customers); customers.RemoveAt(0); double max = problem.Max.Value - (problem.Max.Value * _deltaPercentage); // keep a list of cheapest insertions. IInsertionCosts costs = new BinaryHeapInsertionCosts(); double percentage = _thresholdPercentage; while (customers.Count > 0) { //// try and distribute the remaining customers if there are only a few left. //if (customers.Count < problem.Size * percentage) //{ // bool succes = true; // while (succes && customers.Count > 0) // { // succes = false; // CheapestInsertionResult best = new CheapestInsertionResult(); // best.Increase = float.MaxValue; // int best_idx = -1; // for (int route_idx = 0; route_idx < solution.Count; route_idx++) // { // IRoute route = solution.Route(route_idx); // CheapestInsertionResult result = // CheapestInsertionHelper.CalculateBestPlacement(problem, route, customers); // if (best.Increase > result.Increase) // { // best = result; // best_idx = route_idx; // } // } // IRoute best_route = solution.Route(best_idx); // double route_time = problem.Time(best_route); // if (route_time + best.Increase < max) // { // insert the customer. // best_route.InsertAfter(best.CustomerBefore, best.Customer); // customers.Remove(best.Customer); // this.Improve(problem, solution, max, best_idx); // succes = true; // } // } //} // select a customer using some heuristic. int customer = this.SelectSeed(problem, problem.MaxTimeCalculator, solution, customers); customers.Remove(customer); // start a route r. IRoute currentRoute = solution.Add(customer); solution[solution.Count - 1] = 0; while (customers.Count > 0) { // calculate the best placement. CheapestInsertionResult result; if (_useSeedCost) { // use the seed cost; the cost to the seed customer. result = CheapestInsertionHelper.CalculateBestPlacement(problem, currentRoute, customers, customer, 0.7); // calculate the 'real' increase. result.Increase = (problem.WeightMatrix[result.CustomerBefore][result.Customer] + problem.WeightMatrix[result.Customer][result.CustomerAfter]) - problem.WeightMatrix[result.CustomerBefore][result.CustomerAfter]; } else { // just use cheapest insertion. result = CheapestInsertionHelper.CalculateBestPlacement(problem, currentRoute, customers, costs); } // calculate the new weight. solution[solution.Count - 1] = problem.Time(solution.Route(solution.Count - 1)); double potentialWeight = problem.MaxTimeCalculator.CalculateOneRouteIncrease(solution[solution.Count - 1], result.Increase); // cram as many customers into one route as possible. if (potentialWeight < max) { // insert the customer, it is customers.Remove(result.Customer); currentRoute.InsertAfter(result.CustomerBefore, result.Customer); // free some memory in the costs list. costs.Remove(result.CustomerBefore, result.CustomerAfter); // update the cost of the route. solution[solution.Count - 1] = potentialWeight; // improve if needed. if (((problem.Size - customers.Count) % _k) == 0) { // an improvement is decided. // apply the inter-route improvements. var copy = (solution.Clone() as MaxTimeSolution); int countBefore = solution.Route(solution.Count - 1).Count; solution[solution.Count - 1] = this.ImproveIntraRoute(problem, solution.Route(solution.Count - 1), solution[solution.Count - 1]); if (!solution.IsValid()) { throw new Exception(); } int countAfter = solution.Route(solution.Count - 1).Count; if (countAfter != countBefore) { throw new Exception(); } // also to the inter-improvements. currentRoute = this.Improve(problem, solution, max, solution.Count - 1); } } else {// ok we are done! this.Improve(problem, solution, max, solution.Count - 1); // break the route. break; } } } // remove empty routes. for (int routeIdx = solution.Count - 1; routeIdx >= 0; routeIdx--) { if (solution.Route(routeIdx).IsEmpty) { solution.Remove(routeIdx); } } return(solution); }
/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { MaxTimeCalculator calculator = new MaxTimeCalculator(problem); // get the seed customers. ICollection<int> seeds = _seed_selector.SelectSeeds( problem, _k); double[] weights = new double[seeds.Count]; // start the seed routes. List<int> selectable_customers = problem.Customers; MaxTimeSolution routes = new MaxTimeSolution( problem.Size, true); foreach (int seed in seeds) { routes.Add(seed); selectable_customers.Remove(seed); } if (!routes.IsValid()) { throw new Exception(); } // keep a list of cheapest insertions. IInsertionCosts costs = new BinaryHeapInsertionCosts(); // keep looping until all customers have been placed. while (selectable_customers.Count > 0) { // try and place into every route. CheapestInsertionResult best_result = new CheapestInsertionResult(); best_result.Increase = float.MaxValue; int best_route_idx = -1; CheapestInsertionResult best_result_above_max = new CheapestInsertionResult(); best_result_above_max.Increase = float.MaxValue; int best_route_above_max_idx = -1; for (int route_idx = 0; route_idx < routes.Count; route_idx++) { IRoute current_route = routes.Route(route_idx); // choose the next customer. CheapestInsertionResult result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, selectable_customers, costs); if (result.Customer == result.CustomerAfter) { throw new Exception(); } // get the current weight double weight = weights[route_idx]; if (result.Increase < best_result.Increase) { if (weight + result.Increase + calculator.DeliveryTime < problem.Max.Value) { // route will still be inside bounds. best_result = result; best_route_idx = route_idx; } else { // route will become above max. if (result.Increase < best_result_above_max.Increase) { best_result_above_max = result; best_route_above_max_idx = route_idx; } } } } // do the placement if a placement is found without max violation. // else do the placement in the above max route. CheapestInsertionResult placement_result = new CheapestInsertionResult(); placement_result.Increase = double.MaxValue; int placement_result_idx = -1; if (best_route_idx >= 0) { // best placement found. placement_result = best_result; placement_result_idx = best_route_idx; } else { // best placement found but only above max. placement_result = best_result_above_max; placement_result_idx = best_route_above_max_idx; } // do the actual placement. weights[placement_result_idx] = calculator.CalculateOneRouteIncrease( weights[placement_result_idx], placement_result.Increase); selectable_customers.Remove(placement_result.Customer); //routes.Route(placement_result_idx).InsertAfterAndRemove( // placement_result.CustomerBefore, placement_result.Customer, placement_result.CustomerAfter); routes.Route(placement_result_idx).InsertAfter( placement_result.CustomerBefore, placement_result.Customer); if (!routes.IsValid()) { throw new Exception(); } } return routes; }
internal override MaxTimeSolution Solve(MaxTimeProblem problem) { MaxTimeCalculator calculator = new MaxTimeCalculator( problem); // generate a ATSP solution. IRoute tsp_solution = _tsp_solution; if (tsp_solution == null) { tsp_solution = _tsp_solver.Solve(new TSPProblem(problem)); } // generate subtours from this solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); // select a random start point. int start = OsmSharp.Math.Random.StaticRandomGenerator.Get().Generate(problem.Size); // start the first tour. int placed = 0; int previous = -1; // place the first customer. double weight = 0; double total_weight = 0; IRoute route = solution.Add(start); previous = start; while (placed < problem.Size) { // get the next customer from the tsp solution. int next = tsp_solution.GetNeigbours(previous)[0]; // get the weight to the current start. double weight_to_next = problem.WeightMatrix[previous][next]; double weight_to_start = problem.WeightMatrix[next][start]; total_weight = calculator.CalculateOneRouteIncrease( weight, weight_to_next + weight_to_start); weight = calculator.CalculateOneRouteIncrease( weight, weight_to_next); if (total_weight > problem.Max.Value) { // start a new route. route = solution.Add(next); weight = 0; } else { // just insert the next customer. route.InsertAfter(previous, next); //route.InsertAfterAndRemove(previous, next, -1); } // set the previous. previous = next; placed++; } if (!solution.IsValid()) { throw new Exception(); } StringBuilder builder = new StringBuilder(); builder.Append("["); total_weight = 0; for (int idx = 0; idx < solution.Count; idx++) { //IRoute route = routes.Route(idx); route = solution.Route(idx); weight = calculator.CalculateOneRoute(route); builder.Append(" "); builder.Append(weight); builder.Append(" "); total_weight = total_weight + weight; } builder.Append("]"); builder.Append(total_weight); builder.Append(": "); builder.Append(calculator.Calculate(solution)); Console.WriteLine(builder.ToString()); return(solution); }
/// <summary> /// Calculates a solution. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the calculator. MaxTimeCalculator calculator = new MaxTimeCalculator(problem); // create the solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); double max = problem.Max.Value; // keep placing customer until none are left. List<int> customers = new List<int>(problem.Customers); // create n routes. for (int customer = 0; customer < customers.Count; customer++) { solution.Add(customer); solution[solution.Count - 1] = calculator.CalculateOneRouteIncrease( 0, 0); } // creates a result. MergeResult result = new MergeResult(); result.Weight = double.MaxValue; // loop over all route pairs and merge the smallest merge. while (result != null) { // keep looping until there is no result anymore. result = new MergeResult(); result.Weight = double.MaxValue; for (int route1_idx = 1; route1_idx < solution.Count; route1_idx++) { // keep looping over all routes. for (int route2_idx = 0; route2_idx < solution.Count; route2_idx++) { // keep looping over all routes. if (route1_idx == route2_idx) { // only consider different routes. break; } // calculate the merge result. MergeResult current_result = this.TryMerge(problem, solution, route1_idx, route2_idx, problem.Max.Value); // evaluate the current result. if (current_result != null && current_result.Weight < result.Weight) { // current result is best. result = current_result; } } } // evaluate the result. if (result.Weight < double.MaxValue) { // there is a result; apply it! IRoute source = solution.Route(result.RouteSourceId); IRoute target = solution.Route(result.RouteTargetId); //string source_string = source.ToString(); //string target_string = target.ToString(); if (target.Count > 1 && target.First == target.GetNeigbours(result.CustomerTargetSource)[0]) { //throw new Exception(); } // create an enumeration of all customers of source in the correct order. IEnumerable<int> source_between = new List<int>( source.Between(result.CustomerSourceSource, result.CustomerSourceTarget)); // insert after the complete source. int previous = result.CustomerTargetSource; int next = target.GetNeigbours(result.CustomerTargetSource)[0]; foreach (int source_customer in source_between) { // insert. target.ReplaceEdgeFrom(previous, source_customer); previous = source_customer; // update previous. } target.ReplaceEdgeFrom(previous, next); // remove the source route. solution.Remove(result.RouteSourceId); solution.RemoveWeight(result.RouteTargetId); // calculate the weight of the new route. solution[result.RouteTargetId] = solution[result.RouteTargetId] + result.Weight + solution[result.RouteSourceId]; if (!solution.IsValid()) { throw new Exception(); } } else { // set the result null. result = null; } } return solution; }
/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the calculator. MaxTimeCalculator calculator = new MaxTimeCalculator(problem); // create the solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); // keep placing customer until none are left. List<int> customers = new List<int>(problem.Customers); while (customers.Count > 0) { // select a customer using some heuristic. int customer_idx = OsmSharp.Tools.Math.Random.StaticRandomGenerator.Get().Generate(customers.Count); int customer = customers[customer_idx]; customers.Remove(customer); // start a route r. double current_route_weight = 0; IRoute current_route = solution.Add(customer); //Console.WriteLine("Starting new route with {0}", customer); while (customers.Count > 0) { // calculate the best placement. CheapestInsertionResult result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, customers); // calculate the new weight. double potential_weight = calculator.CalculateOneRouteIncrease(current_route_weight, result.Increase); // cram as many customers into one route as possible. if (potential_weight < problem.Max.Value) { // insert the customer, it is customers.Remove(result.Customer); //current_route.InsertAfterAndRemove(result.CustomerBefore, result.Customer, result.CustomerAfter); current_route.InsertAfter(result.CustomerBefore, result.Customer); current_route_weight = potential_weight; //// improve if needed. ////if (improvement_probalitity > OsmSharp.Tools.Math.Random.StaticRandomGenerator.Get().Generate(1)) //if (((problem.Size - customers.Count) % _k) == 0) //{ // an improvement is descided. // current_route_weight = this.ImproveIntraRoute(problem, // current_route, current_route_weight); //} } else {// ok we are done! //// apply the intra-route heuristics. //for (int route_idx = 0; route_idx < solution.Count - 1; route_idx++) //{ // apply the intra-route heurstic between the new and all existing routes. // this.ImproveInterRoute(problem, solution.Route(route_idx), current_route); //} //// apply the inter-route heuristics. //for (int route_idx = 0; route_idx < solution.Count; route_idx++) //{ // apply heurstic for each route. // IRoute route = solution.Route(route_idx); // this.ImproveIntraRoute(problem, current_route, current_route_weight); //} // break the route. break; } } } return solution; }
/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the calculator. MaxTimeCalculator calculator = new MaxTimeCalculator(problem); // create the solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); // keep placing customer until none are left. List <int> customers = new List <int>(problem.Customers); while (customers.Count > 0) { // select a customer using some heuristic. int customer_idx = OsmSharp.Math.Random.StaticRandomGenerator.Get().Generate(customers.Count); int customer = customers[customer_idx]; customers.Remove(customer); // start a route r. double current_route_weight = 0; IRoute current_route = solution.Add(customer); //Console.WriteLine("Starting new route with {0}", customer); while (customers.Count > 0) { // calculate the best placement. CheapestInsertionResult result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, customers); // calculate the new weight. double potential_weight = calculator.CalculateOneRouteIncrease(current_route_weight, result.Increase); // cram as many customers into one route as possible. if (potential_weight < problem.Max.Value) { // insert the customer, it is customers.Remove(result.Customer); //current_route.InsertAfterAndRemove(result.CustomerBefore, result.Customer, result.CustomerAfter); current_route.InsertAfter(result.CustomerBefore, result.Customer); current_route_weight = potential_weight; //// improve if needed. ////if (improvement_probalitity > OsmSharp.Math.Random.StaticRandomGenerator.Get().Generate(1)) //if (((problem.Size - customers.Count) % _k) == 0) //{ // an improvement is descided. // current_route_weight = this.ImproveIntraRoute(problem, // current_route, current_route_weight); //} } else {// ok we are done! //// apply the intra-route heuristics. //for (int route_idx = 0; route_idx < solution.Count - 1; route_idx++) //{ // apply the intra-route heurstic between the new and all existing routes. // this.ImproveInterRoute(problem, solution.Route(route_idx), current_route); //} //// apply the inter-route heuristics. //for (int route_idx = 0; route_idx < solution.Count; route_idx++) //{ // apply heurstic for each route. // IRoute route = solution.Route(route_idx); // this.ImproveIntraRoute(problem, current_route, current_route_weight); //} // break the route. break; } } } return(solution); }
/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); // keep placing customer until none are left. List<int> customers = new List<int>(problem.Customers); double max = problem.Max.Value - (problem.Max.Value * _delta_percentage); // keep a list of cheapest insertions. IInsertionCosts costs = new BinaryHeapInsertionCosts(); double percentage = _threshold_percentage; while (customers.Count > 0) { // try and distribute the remaining customers if there are only a few left. if (customers.Count < problem.Size * percentage) { bool succes = true; while (succes && customers.Count > 0) { succes = false; CheapestInsertionResult best = new CheapestInsertionResult(); best.Increase = float.MaxValue; int best_idx = -1; for (int route_idx = 0; route_idx < solution.Count; route_idx++) { IRoute route = solution.Route(route_idx); CheapestInsertionResult result = CheapestInsertionHelper.CalculateBestPlacement(problem, route, customers); if (best.Increase > result.Increase) { best = result; best_idx = route_idx; } } IRoute best_route = solution.Route(best_idx); double route_time = problem.Time(best_route); if (route_time + best.Increase < max) { // insert the customer. best_route.InsertAfter(best.CustomerBefore, best.Customer); customers.Remove(best.Customer); this.Improve(problem, solution, max, best_idx); succes = true; } } } // select a customer using some heuristic. if (customers.Count > 0) { // select a customer using some heuristic. int customer = -1; if (_use_seed) { // use a seeding heuristic. customer = this.SelectSeed(problem, problem.MaxTimeCalculator, solution, customers); } else { // just select a random customer. customer = customers[Math.Random.StaticRandomGenerator.Get().Generate(customers.Count)]; } customers.Remove(customer); // start a route r. IRoute current_route = solution.Add(customer); solution[solution.Count - 1] = 0; while (customers.Count > 0) { //OsmSharp.IO.Output.OutputStreamHost.WriteLine("{0}/{1} placed!", // customers.Count, problem.Size); // calculate the best placement. CheapestInsertionResult result; if (_use_seed_cost) { // use the seed cost; the cost to the seed customer. result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, customers, customer, _lambda); // calculate the 'real' increase. result.Increase = (problem.WeightMatrix[result.CustomerBefore][result.Customer] + problem.WeightMatrix[result.Customer][result.CustomerAfter]) - problem.WeightMatrix[result.CustomerBefore][result.CustomerAfter]; } else { // just use cheapest insertion. result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, customers, costs); } // calculate the new weight. solution[solution.Count - 1] = problem.Time(solution.Route(solution.Count - 1)); double potential_weight = problem.MaxTimeCalculator.CalculateOneRouteIncrease(solution[solution.Count - 1], result.Increase); // cram as many customers into one route as possible. if (potential_weight < max) { // insert the customer, it is customers.Remove(result.Customer); current_route.InsertAfter(result.CustomerBefore, result.Customer); // free some memory in the costs list. costs.Remove(result.CustomerBefore, result.CustomerAfter); // update the cost of the route. solution[solution.Count - 1] = potential_weight; // improve if needed. if (((problem.Size - customers.Count) % _k) == 0) { // an improvement is descided. // apply the inter-route improvements. int count_before = solution.Route(solution.Count - 1).Count; solution[solution.Count - 1] = this.ImproveIntraRoute(problem, current_route, solution[solution.Count - 1]); if (!solution.IsValid()) { throw new Exception(); } int count_after = solution.Route(solution.Count - 1).Count; // also to the inter-improvements. current_route = this.Improve(problem, solution, max, solution.Count - 1); } } else {// ok we are done! this.Improve(problem, solution, max, solution.Count - 1); // break the route. break; } } //else //{// ok we are done! // solution[solution.Count - 1] = this.ImproveIntraRoute(problem, // current_route, solution[solution.Count - 1]); // if (!solution.IsValid()) // { // throw new Exception(); // } // int count_after = solution.Route(solution.Count - 1).Count; // this.Improve(problem, solution, max, solution.Count - 1); // // break the route. // break; //} } } // remove empty routes. for (int route_idx = solution.Count - 1; route_idx >= 0; route_idx--) { if (solution.Route(route_idx).IsEmpty) { solution.Remove(route_idx); } } return solution; }
/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); // keep placing customer until none are left. List <int> customers = new List <int>(problem.Customers); double max = problem.Max.Value - (problem.Max.Value * _delta_percentage); // keep a list of cheapest insertions. IInsertionCosts costs = new BinaryHeapInsertionCosts(); double percentage = _threshold_percentage; while (customers.Count > 0) { // try and distribute the remaining customers if there are only a few left. if (customers.Count < problem.Size * percentage) { bool succes = true; while (succes && customers.Count > 0) { succes = false; CheapestInsertionResult best = new CheapestInsertionResult(); best.Increase = float.MaxValue; int best_idx = -1; for (int route_idx = 0; route_idx < solution.Count; route_idx++) { IRoute route = solution.Route(route_idx); CheapestInsertionResult result = CheapestInsertionHelper.CalculateBestPlacement(problem, route, customers); if (best.Increase > result.Increase) { best = result; best_idx = route_idx; } } IRoute best_route = solution.Route(best_idx); double route_time = problem.Time(best_route); if (route_time + best.Increase < max) { // insert the customer. best_route.InsertAfter(best.CustomerBefore, best.Customer); customers.Remove(best.Customer); this.Improve(problem, solution, max, best_idx); succes = true; } } } // select a customer using some heuristic. if (customers.Count > 0) { // select a customer using some heuristic. int customer = -1; if (_use_seed) { // use a seeding heuristic. customer = this.SelectSeed(problem, problem.MaxTimeCalculator, solution, customers); } else { // just select a random customer. customer = customers[Math.Random.StaticRandomGenerator.Get().Generate(customers.Count)]; } customers.Remove(customer); // start a route r. IRoute current_route = solution.Add(customer); solution[solution.Count - 1] = 0; while (customers.Count > 0) { //OsmSharp.IO.Output.OutputStreamHost.WriteLine("{0}/{1} placed!", // customers.Count, problem.Size); // calculate the best placement. CheapestInsertionResult result; if (_use_seed_cost) { // use the seed cost; the cost to the seed customer. result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, customers, customer, _lambda); // calculate the 'real' increase. result.Increase = (problem.WeightMatrix[result.CustomerBefore][result.Customer] + problem.WeightMatrix[result.Customer][result.CustomerAfter]) - problem.WeightMatrix[result.CustomerBefore][result.CustomerAfter]; } else { // just use cheapest insertion. result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, customers, costs); } // calculate the new weight. solution[solution.Count - 1] = problem.Time(solution.Route(solution.Count - 1)); double potential_weight = problem.MaxTimeCalculator.CalculateOneRouteIncrease(solution[solution.Count - 1], result.Increase); // cram as many customers into one route as possible. if (potential_weight < max) { // insert the customer, it is customers.Remove(result.Customer); current_route.InsertAfter(result.CustomerBefore, result.Customer); // free some memory in the costs list. costs.Remove(result.CustomerBefore, result.CustomerAfter); // update the cost of the route. solution[solution.Count - 1] = potential_weight; // improve if needed. if (((problem.Size - customers.Count) % _k) == 0) { // an improvement is descided. // apply the inter-route improvements. int count_before = solution.Route(solution.Count - 1).Count; solution[solution.Count - 1] = this.ImproveIntraRoute(problem, current_route, solution[solution.Count - 1]); if (!solution.IsValid()) { throw new Exception(); } int count_after = solution.Route(solution.Count - 1).Count; // also to the inter-improvements. current_route = this.Improve(problem, solution, max, solution.Count - 1); } } else {// ok we are done! this.Improve(problem, solution, max, solution.Count - 1); // break the route. break; } } //else //{// ok we are done! // solution[solution.Count - 1] = this.ImproveIntraRoute(problem, // current_route, solution[solution.Count - 1]); // if (!solution.IsValid()) // { // throw new Exception(); // } // int count_after = solution.Route(solution.Count - 1).Count; // this.Improve(problem, solution, max, solution.Count - 1); // // break the route. // break; //} } } // remove empty routes. for (int route_idx = solution.Count - 1; route_idx >= 0; route_idx--) { if (solution.Route(route_idx).IsEmpty) { solution.Remove(route_idx); } } return(solution); }
internal override MaxTimeSolution Solve(MaxTimeProblem problem) { MaxTimeCalculator calculator = new MaxTimeCalculator( problem); // generate a ATSP solution. IRoute tsp_solution = _tsp_solution; if (tsp_solution == null) { tsp_solution = _tsp_solver.Solve(new TSPProblem(problem)); } // generate subtours from this solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); // select a random start point. int start = OsmSharp.Math.Random.StaticRandomGenerator.Get().Generate(problem.Size); // start the first tour. int placed = 0; int previous = -1; // place the first customer. double weight = 0; double total_weight = 0; IRoute route = solution.Add(start); previous = start; while (placed < problem.Size) { // get the next customer from the tsp solution. int next = tsp_solution.GetNeigbours(previous)[0]; // get the weight to the current start. double weight_to_next = problem.WeightMatrix[previous][next]; double weight_to_start = problem.WeightMatrix[next][start]; total_weight = calculator.CalculateOneRouteIncrease( weight, weight_to_next + weight_to_start); weight = calculator.CalculateOneRouteIncrease( weight, weight_to_next); if (total_weight > problem.Max.Value) { // start a new route. route = solution.Add(next); weight = 0; } else { // just insert the next customer. route.InsertAfter(previous, next); //route.InsertAfterAndRemove(previous, next, -1); } // set the previous. previous = next; placed++; } if (!solution.IsValid()) { throw new Exception(); } StringBuilder builder = new StringBuilder(); builder.Append("["); total_weight = 0; for (int idx = 0; idx < solution.Count; idx++) { //IRoute route = routes.Route(idx); route = solution.Route(idx); weight = calculator.CalculateOneRoute(route); builder.Append(" "); builder.Append(weight); builder.Append(" "); total_weight = total_weight + weight; } builder.Append("]"); builder.Append(total_weight); builder.Append(": "); builder.Append(calculator.Calculate(solution)); OsmSharp.Logging.Log.TraceEvent("TSPPlacementSolver", TraceEventType.Information, builder.ToString()); return solution; }
/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { MaxTimeCalculator calculator = new MaxTimeCalculator(problem); // get the seed customers. ICollection <int> seeds = _seed_selector.SelectSeeds( problem, _k); double[] weights = new double[seeds.Count]; // start the seed routes. List <int> selectable_customers = problem.Customers; MaxTimeSolution routes = new MaxTimeSolution( problem.Size, true); foreach (int seed in seeds) { routes.Add(seed); selectable_customers.Remove(seed); } if (!routes.IsValid()) { throw new Exception(); } // keep a list of cheapest insertions. IInsertionCosts costs = new BinaryHeapInsertionCosts(); // keep looping until all customers have been placed. while (selectable_customers.Count > 0) { // try and place into every route. CheapestInsertionResult best_result = new CheapestInsertionResult(); best_result.Increase = float.MaxValue; int best_route_idx = -1; CheapestInsertionResult best_result_above_max = new CheapestInsertionResult(); best_result_above_max.Increase = float.MaxValue; int best_route_above_max_idx = -1; for (int route_idx = 0; route_idx < routes.Count; route_idx++) { IRoute current_route = routes.Route(route_idx); // choose the next customer. CheapestInsertionResult result = CheapestInsertionHelper.CalculateBestPlacement(problem, current_route, selectable_customers, costs); if (result.Customer == result.CustomerAfter) { throw new Exception(); } // get the current weight double weight = weights[route_idx]; if (result.Increase < best_result.Increase) { if (weight + result.Increase + calculator.DeliveryTime < problem.Max.Value) { // route will still be inside bounds. best_result = result; best_route_idx = route_idx; } else { // route will become above max. if (result.Increase < best_result_above_max.Increase) { best_result_above_max = result; best_route_above_max_idx = route_idx; } } } } // do the placement if a placement is found without max violation. // else do the placement in the above max route. CheapestInsertionResult placement_result = new CheapestInsertionResult(); placement_result.Increase = double.MaxValue; int placement_result_idx = -1; if (best_route_idx >= 0) { // best placement found. placement_result = best_result; placement_result_idx = best_route_idx; } else { // best placement found but only above max. placement_result = best_result_above_max; placement_result_idx = best_route_above_max_idx; } // do the actual placement. weights[placement_result_idx] = calculator.CalculateOneRouteIncrease( weights[placement_result_idx], placement_result.Increase); selectable_customers.Remove(placement_result.Customer); //routes.Route(placement_result_idx).InsertAfterAndRemove( // placement_result.CustomerBefore, placement_result.Customer, placement_result.CustomerAfter); routes.Route(placement_result_idx).InsertAfter( placement_result.CustomerBefore, placement_result.Customer); if (!routes.IsValid()) { throw new Exception(); } } return(routes); }
/// <summary> /// Calculates a solution. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the calculator. MaxTimeCalculator calculator = new MaxTimeCalculator(problem); // create the solution. MaxTimeSolution solution = new MaxTimeSolution(problem.Size, true); double max = problem.Max.Value; // keep placing customer until none are left. List <int> customers = new List <int>(problem.Customers); // create n routes. for (int customer = 0; customer < customers.Count; customer++) { solution.Add(customer); solution[solution.Count - 1] = calculator.CalculateOneRouteIncrease( 0, 0); } // creates a result. MergeResult result = new MergeResult(); result.Weight = double.MaxValue; // loop over all route pairs and merge the smallest merge. while (result != null) { // keep looping until there is no result anymore. result = new MergeResult(); result.Weight = double.MaxValue; for (int route1_idx = 1; route1_idx < solution.Count; route1_idx++) { // keep looping over all routes. for (int route2_idx = 0; route2_idx < solution.Count; route2_idx++) { // keep looping over all routes. if (route1_idx == route2_idx) { // only consider different routes. break; } // calculate the merge result. MergeResult current_result = this.TryMerge(problem, solution, route1_idx, route2_idx, problem.Max.Value); // evaluate the current result. if (current_result != null && current_result.Weight < result.Weight) { // current result is best. result = current_result; } } } // evaluate the result. if (result.Weight < double.MaxValue) { // there is a result; apply it! IRoute source = solution.Route(result.RouteSourceId); IRoute target = solution.Route(result.RouteTargetId); //string source_string = source.ToString(); //string target_string = target.ToString(); if (target.Count > 1 && target.First == target.GetNeigbours(result.CustomerTargetSource)[0]) { //throw new Exception(); } // create an enumeration of all customers of source in the correct order. IEnumerable <int> source_between = new List <int>( source.Between(result.CustomerSourceSource, result.CustomerSourceTarget)); // insert after the complete source. int previous = result.CustomerTargetSource; int next = target.GetNeigbours(result.CustomerTargetSource)[0]; foreach (int source_customer in source_between) { // insert. target.ReplaceEdgeFrom(previous, source_customer); previous = source_customer; // update previous. } target.ReplaceEdgeFrom(previous, next); // remove the source route. solution.Remove(result.RouteSourceId); solution.RemoveWeight(result.RouteTargetId); // calculate the weight of the new route. solution[result.RouteTargetId] = solution[result.RouteTargetId] + result.Weight + solution[result.RouteSourceId]; if (!solution.IsValid()) { throw new Exception(); } } else { // set the result null. result = null; } } return(solution); }
/// <summary> /// Executes a solver procedure. /// </summary> /// <param name="problem"></param> /// <returns></returns> internal override MaxTimeSolution Solve(MaxTimeProblem problem) { // create the solution. var solution = new MaxTimeSolution(problem.Size); // keep placing customer until none are left. var customers = new List<int>(problem.Customers); customers.RemoveAt(0); double max = problem.Max.Value - (problem.Max.Value * _deltaPercentage); // keep a list of cheapest insertions. IInsertionCosts costs = new BinaryHeapInsertionCosts(); // double percentage = _thresholdPercentage; while (customers.Count > 0) { //// try and distribute the remaining customers if there are only a few left. //if (customers.Count < problem.Size * percentage) //{ // bool succes = true; // while (succes && customers.Count > 0) // { // succes = false; // CheapestInsertionResult best = new CheapestInsertionResult(); // best.Increase = float.MaxValue; // int best_idx = -1; // for (int route_idx = 0; route_idx < solution.Count; route_idx++) // { // IRoute route = solution.Route(route_idx); // CheapestInsertionResult result = // CheapestInsertionHelper.CalculateBestPlacement(problem, route, customers); // if (best.Increase > result.Increase) // { // best = result; // best_idx = route_idx; // } // } // IRoute best_route = solution.Route(best_idx); // double route_time = problem.Time(best_route); // if (route_time + best.Increase < max) // { // insert the customer. // best_route.InsertAfter(best.CustomerBefore, best.Customer); // customers.Remove(best.Customer); // this.Improve(problem, solution, max, best_idx); // succes = true; // } // } //} // select a customer using some heuristic. int customer = this.SelectSeed(problem, problem.MaxTimeCalculator, solution, customers); customers.Remove(customer); // start a route r. IRoute currentRoute = solution.Add(customer); solution[solution.Count - 1] = 0; while (customers.Count > 0) { // calculate the best placement. CheapestInsertionResult result; if (_useSeedCost) { // use the seed cost; the cost to the seed customer. result = CheapestInsertionHelper.CalculateBestPlacement(problem, currentRoute, customers, customer, 0.7); // calculate the 'real' increase. result.Increase = (problem.WeightMatrix[result.CustomerBefore][result.Customer] + problem.WeightMatrix[result.Customer][result.CustomerAfter]) - problem.WeightMatrix[result.CustomerBefore][result.CustomerAfter]; } else { // just use cheapest insertion. result = CheapestInsertionHelper.CalculateBestPlacement(problem, currentRoute, customers, costs); } // calculate the new weight. solution[solution.Count - 1] = problem.Time(solution.Route(solution.Count - 1)); double potentialWeight = problem.MaxTimeCalculator.CalculateOneRouteIncrease(solution[solution.Count - 1], result.Increase); // cram as many customers into one route as possible. if (potentialWeight < max) { // insert the customer, it is customers.Remove(result.Customer); currentRoute.InsertAfter(result.CustomerBefore, result.Customer); // free some memory in the costs list. costs.Remove(result.CustomerBefore, result.CustomerAfter); // update the cost of the route. solution[solution.Count - 1] = potentialWeight; // improve if needed. if (((problem.Size - customers.Count) % _k) == 0) { // an improvement is decided. // apply the inter-route improvements. // var copy = (solution.Clone() as MaxTimeSolution); int countBefore = solution.Route(solution.Count - 1).Count; solution[solution.Count - 1] = this.ImproveIntraRoute(problem, solution.Route(solution.Count - 1), solution[solution.Count - 1]); if (!solution.IsValid()) { throw new Exception(); } int countAfter = solution.Route(solution.Count - 1).Count; if (countAfter != countBefore) { throw new Exception(); } // also to the inter-improvements. currentRoute = this.Improve(problem, solution, max, solution.Count - 1); } } else {// ok we are done! this.Improve(problem, solution, max, solution.Count - 1); // break the route. break; } } } // remove empty routes. for (int routeIdx = solution.Count - 1; routeIdx >= 0; routeIdx--) { if (solution.Route(routeIdx).IsEmpty) { solution.Remove(routeIdx); } } return solution; }
public void TestDepotDynamicAsymmetricMultiRouteExchanges() { // create two routes. // 0->11->12->13->14->15->0 // 0->21->22->23->24->25->0 var multiRoute = new MaxTimeSolution(0); IRoute route1 = multiRoute.Add(); var customers = new List <int>(route1); Assert.AreEqual(1, customers.Count); Assert.AreEqual(0, customers[0]); route1.InsertAfter(0, 11); Assert.AreEqual("0->11", route1.ToString()); route1.InsertAfter(11, 12); route1.InsertAfter(12, 13); route1.InsertAfter(13, 14); route1.InsertAfter(14, 15); IRoute route2 = multiRoute.Add(); customers = new List <int>(route2); Assert.AreEqual(1, customers.Count); Assert.AreEqual(0, customers[0]); route2.InsertAfter(0, 21); Assert.AreEqual("0->21", route2.ToString()); route2.InsertAfter(21, 22); route2.InsertAfter(22, 23); route2.InsertAfter(23, 24); route2.InsertAfter(24, 25); customers = new List <int>(route1); Assert.AreEqual(6, customers.Count); Assert.AreEqual(0, customers[0]); Assert.AreEqual(11, customers[1]); Assert.AreEqual(12, customers[2]); Assert.AreEqual(13, customers[3]); Assert.AreEqual(14, customers[4]); Assert.AreEqual(15, customers[5]); customers = new List <int>(route2); Assert.AreEqual(6, customers.Count); Assert.AreEqual(0, customers[0]); Assert.AreEqual(21, customers[1]); Assert.AreEqual(22, customers[2]); Assert.AreEqual(23, customers[3]); Assert.AreEqual(24, customers[4]); Assert.AreEqual(25, customers[5]); // replace the entire first route. route1.ReplaceEdgeFrom(0, 0); route2.ReplaceEdgeFrom(25, 11); route2.ReplaceEdgeFrom(11, 12); route2.ReplaceEdgeFrom(12, 13); route2.ReplaceEdgeFrom(13, 14); route2.ReplaceEdgeFrom(14, 15); Assert.IsTrue(multiRoute.IsValid()); // create two routes. // 0->11->12->13->14->15->0 // 0->21->22->23->24->25->0 multiRoute = new MaxTimeSolution(0); route1 = multiRoute.Add(); customers = new List <int>(route1); Assert.AreEqual(1, customers.Count); Assert.AreEqual(0, customers[0]); route1.InsertAfter(0, 11); Assert.AreEqual("0->11", route1.ToString()); route1.InsertAfter(11, 12); route1.InsertAfter(12, 13); route1.InsertAfter(13, 14); route1.InsertAfter(14, 15); route2 = multiRoute.Add(); customers = new List <int>(route2); Assert.AreEqual(1, customers.Count); Assert.AreEqual(0, customers[0]); route2.InsertAfter(0, 21); Assert.AreEqual("0->21", route2.ToString()); route2.InsertAfter(21, 22); route2.InsertAfter(22, 23); route2.InsertAfter(23, 24); route2.InsertAfter(24, 25); // exchange parts. var part1 = new List <int>(route1.Between(11, 13)); var part2 = new List <int>(route2.Between(23, 25)); route1.ReplaceEdgeFrom(0, 14); route2.ReplaceEdgeFrom(22, 0); int previous = 0; for (int idx = 0; idx < part2.Count; idx++) { route1.ReplaceEdgeFrom(previous, part2[idx]); previous = part2[idx]; } route1.ReplaceEdgeFrom(previous, 14); previous = 22; for (int idx = 0; idx < part1.Count; idx++) { route2.ReplaceEdgeFrom(previous, part1[idx]); previous = part1[idx]; } route2.ReplaceEdgeFrom(previous, 0); Assert.IsTrue(multiRoute.IsValid()); customers = new List <int>(route1); Assert.AreEqual(6, customers.Count); Assert.AreEqual(0, customers[0]); Assert.AreEqual(23, customers[1]); Assert.AreEqual(24, customers[2]); Assert.AreEqual(25, customers[3]); Assert.AreEqual(14, customers[4]); Assert.AreEqual(15, customers[5]); customers = new List <int>(route2); Assert.AreEqual(6, customers.Count); Assert.AreEqual(0, customers[0]); Assert.AreEqual(21, customers[1]); Assert.AreEqual(22, customers[2]); Assert.AreEqual(11, customers[3]); Assert.AreEqual(12, customers[4]); Assert.AreEqual(13, customers[5]); // create two routes. // 0->11->12->13->14->15->0 // 0->21->22->23->24->25->0 multiRoute = new MaxTimeSolution(0); route1 = multiRoute.Add(); customers = new List <int>(route1); Assert.AreEqual(1, customers.Count); Assert.AreEqual(0, customers[0]); route1.InsertAfter(0, 11); Assert.AreEqual("0->11", route1.ToString()); route1.InsertAfter(11, 12); route1.InsertAfter(12, 13); route1.InsertAfter(13, 14); route1.InsertAfter(14, 15); route2 = multiRoute.Add(); customers = new List <int>(route2); Assert.AreEqual(1, customers.Count); Assert.AreEqual(0, customers[0]); route2.InsertAfter(0, 21); Assert.AreEqual("0->21", route2.ToString()); route2.InsertAfter(21, 22); route2.InsertAfter(22, 23); route2.InsertAfter(23, 24); route2.InsertAfter(24, 25); route1.ReplaceEdgeFrom(12, 15); route1.ReplaceEdgeFrom(14, 11); route1.ReplaceEdgeFrom(0, 13); customers = new List <int>(route1); Assert.AreEqual(6, customers.Count); Assert.AreEqual(0, customers[0]); Assert.AreEqual(13, customers[1]); Assert.AreEqual(14, customers[2]); Assert.AreEqual(11, customers[3]); Assert.AreEqual(12, customers[4]); Assert.AreEqual(15, customers[5]); route1.ToString(); }