模拟退火的SAW板材开料优化C#代码

以下是一个基于模拟退火算法的板材开料优化的C#代码实现，适用于SAW (Simulated Annealing Woodwork)。

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace SAW
{
    class Program
    {
        static void Main(string[] args)
        {
            // 设置板材尺寸和待切割的零件数量
            int boardWidth = 1200;
            int boardHeight = 2400;
            int numParts = 20;

            // 随机生成零件尺寸
            Random rand = new Random();
            List<Part> parts = new List<Part>();
            for (int i = 0; i < numParts; i++)
            {
                int width = rand.Next(100, 1000);
                int height = rand.Next(100, 1000);
                parts.Add(new Part(width, height));
            }

            // 初始化模拟退火算法
            double initialTemp = 10000;
            double coolingRate = 0.003;
            double currentTemp = initialTemp;
            BoardLayout currentLayout = new BoardLayout(boardWidth, boardHeight, parts);
            BoardLayout bestLayout = currentLayout;

            // 开始模拟退火
            while (currentTemp > 1)
            {
                // 生成一个新的布局
                BoardLayout newLayout = currentLayout.GenerateNeighborLayout();

                // 计算能量差
                double energyDiff = newLayout.GetEnergy() - currentLayout.GetEnergy();

                // 根据概率接受或拒绝新布局
                if (energyDiff < 0 || Math.Exp(-energyDiff / currentTemp) > rand.NextDouble())
                {
                    currentLayout = newLayout;
                }

                // 更新最优解
                if (currentLayout.GetEnergy() < bestLayout.GetEnergy())
                {
                    bestLayout = currentLayout;
                }

                // 降温
                currentTemp *= 1 - coolingRate;
            }

            // 输出最终结果
            Console.WriteLine("Best Layout: ");
            Console.WriteLine(bestLayout);
            Console.ReadLine();
        }
    }

    // 零件类
    class Part
    {
        public int Width { get; set; }
        public int Height { get; set; }

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

    // 布局类
    class BoardLayout
    {
        private int boardWidth;
        private int boardHeight;
        private List<Part> parts;
        private List<Rectangle> rectangles;

        public BoardLayout(int boardWidth, int boardHeight, List<Part> parts)
        {
            this.boardWidth = boardWidth;
            this.boardHeight = boardHeight;
            this.parts = parts;
            rectangles = new List<Rectangle>();
            for (int i = 0; i < parts.Count; i++)
            {
                rectangles.Add(new Rectangle(0, 0, parts[i].Width, parts[i].Height));
            }
        }

        // 生成邻居布局
        public BoardLayout GenerateNeighborLayout()
        {
            Random rand = new Random();
            BoardLayout newLayout = new BoardLayout(boardWidth, boardHeight, parts);
            int index = rand.Next(parts.Count);
            Rectangle rect = newLayout.rectangles[index];
            int dx = rand.Next(-rect.X, boardWidth - rect.X - rect.Width);
            int dy = rand.Next(-rect.Y, boardHeight - rect.Y - rect.Height);
            rect.X += dx;
            rect.Y += dy;
            return newLayout;
        }

        // 计算能量
        public double GetEnergy()
        {
            double energy = 0;
            for (int i = 0; i < rectangles.Count; i++)
            {
                Rectangle rect1 = rectangles[i];
                for (int j = i + 1; j < rectangles.Count; j++)
                {
                    Rectangle rect2 = rectangles[j];
                    energy += rect1.GetOverlapArea(rect2);
                }
                energy += rect1.GetOutOfBoundsArea(boardWidth, boardHeight);
            }
            return energy;
        }

        // 输出布局信息
        public override string ToString()
        {
            StringBuilder sb = new StringBuilder();
            for (int i = 0; i < rectangles.Count; i++)
            {
                sb.Append("Part " + i + ": (" + rectangles[i].X + ", " + rectangles[i].Y + ")\n");
            }
            return sb.ToString();
        }
    }

    // 矩形类
    class Rectangle
    {
        public int X { get; set; }
        public int Y { get; set; }
        public int Width { get; set; }
        public int Height { get; set; }

        public Rectangle(int x, int y, int width, int height)
        {
            X = x;
            Y = y;
            Width = width;
            Height = height;
        }

        // 计算重叠面积
        public int GetOverlapArea(Rectangle other)
        {
            int x1 = Math.Max(X, other.X);
            int y1 = Math.Max(Y, other.Y);
            int x2 = Math.Min(X + Width, other.X + other.Width);
            int y2 = Math.Min(Y + Height, other.Y + other.Height);
            return Math.Max(0, (x2 - x1) * (y2 - y1));
        }

        // 计算越界面积
        public int GetOutOfBoundsArea(int boardWidth, int boardHeight)
        {
            int outOfBoundsArea = 0;
            if (X < 0)
            {
                outOfBoundsArea += (0 - X) * Height;
            }
            if (X + Width > boardWidth)
            {
                outOfBoundsArea += (X + Width - boardWidth) * Height;
            }
            if (Y < 0)
            {
                outOfBoundsArea += (0 - Y) * Width;
            }
            if (Y + Height > boardHeight)
            {
                outOfBoundsArea += (Y + Height - boardHeight) * Width;
            }
            return outOfBoundsArea;
        }
    }
}

请注意，这只是一个基本的实现示例，可以根据具体需要进行修改和优化。