模拟退火的SAW板材开料优化C#代码,计算余料

以下是一个基于模拟退火算法的SAW板材开料优化C#代码，包括计算余料的部分。注意，这只是一个简单的示例，实际使用中需要根据具体情况进行调整和优化。

using System;
using System.Collections.Generic;
using System.Linq;

namespace SAWOptimization
{
    class Program
    {
        static void Main(string[] args)
        {
            // 定义板材大小和零件列表
            int boardWidth = 100;
            int boardHeight = 50;
            List<Part> parts = new List<Part>()
            {
                new Part("A", 20, 30),
                new Part("B", 50, 20),
                new Part("C", 30, 30),
                new Part("D", 40, 20),
                new Part("E", 20, 20),
                new Part("F", 30, 20),
                new Part("G", 40, 30),
                new Part("H", 10, 30)
            };

            // 初始解为随机排列的零件列表
            Random random = new Random();
            List<Part> initialSolution = parts.OrderBy(p => random.Next()).ToList();

            // 开始模拟退火算法
            double temperature = 1000;
            double coolingRate = 0.99;
            List<Part> currentSolution = initialSolution;
            double currentScore = CalculateScore(currentSolution, boardWidth, boardHeight);
            while (temperature > 1)
            {
                // 生成新解
                List<Part> newSolution = GenerateNeighbor(currentSolution);
                double newScore = CalculateScore(newSolution, boardWidth, boardHeight);

                // 判断是否接受新解
                double delta = newScore - currentScore;
                if (delta < 0 || Math.Exp(-delta / temperature) > random.NextDouble())
                {
                    currentSolution = newSolution;
                    currentScore = newScore;
                }

                // 降温
                temperature *= coolingRate;
            }

            // 输出最终解
            Console.WriteLine("最佳排列：");
            foreach (Part part in currentSolution)
            {
                Console.WriteLine(part.Name);
            }
            Console.WriteLine("余料面积：" + (boardWidth * boardHeight - currentScore));
        }

        // 计算一个排列的得分（即余料面积）
        static double CalculateScore(List<Part> solution, int boardWidth, int boardHeight)
        {
            double score = 0;
            int x = 0;
            int y = 0;
            foreach (Part part in solution)
            {
                if (x + part.Width <= boardWidth && y + part.Height <= boardHeight)
                {
                    // 零件可以放在当前位置
                    x += part.Width;
                    score += part.Area;
                }
                else
                {
                    // 零件不能放在当前位置，换行
                    x = part.Width;
                    y += part.Height;
                    score += part.Area;
                }
            }
            return score;
        }

        // 生成一个与当前解相邻的解
        static List<Part> GenerateNeighbor(List<Part> currentSolution)
        {
            // 随机交换两个零件的位置
            Random random = new Random();
            int index1 = random.Next(currentSolution.Count);
            int index2 = random.Next(currentSolution.Count);
            List<Part> newSolution = new List<Part>(currentSolution);
            Part temp = newSolution[index1];
            newSolution[index1] = newSolution[index2];
            newSolution[index2] = temp;
            return newSolution;
        }
    }

    // 零件类
    class Part
    {
        public string Name { get; set; }
        public int Width { get; set; }
        public int Height { get; set; }
        public double Area { get { return Width * Height; } }

        public Part(string name, int width, int height)
        {
            Name = name;
            Width = width;
            Height = height;
        }
    }
}