package com.zy.asrs.utils;
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import java.util.*;
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public class OptimizedLockerPackingUtils {
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public static class Item {
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String name;
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double unitSpace;
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int maxCapacity;
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int stock;
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int remaining;
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public Item(String name, int maxCapacity, int stock) {
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this.name = name;
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this.maxCapacity = maxCapacity;
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this.unitSpace = 1.0 / maxCapacity;
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this.stock = stock;
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this.remaining = stock;
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}
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@Override
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public String toString() {
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return name + "(单放" + maxCapacity + "个, 库存" + stock + "个)";
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}
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}
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static class Locker {
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int id;
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double remainingSpace;
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long bindingTags;
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Map<String, Integer> contents;
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Set<String> itemTypes;
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public Locker(int id) {
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this.id = id;
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this.remainingSpace = 1.0;
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this.contents = new HashMap<>();
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this.itemTypes = new HashSet<>();
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this.bindingTags = System.currentTimeMillis();
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}
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public boolean canAdd(Item item, int quantity) {
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return remainingSpace >= quantity * item.unitSpace;
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}
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public void addItem(Item item, int quantity) {
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double spaceUsed = quantity * item.unitSpace;
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remainingSpace -= spaceUsed;
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contents.put(item.name, contents.getOrDefault(item.name, 0) + quantity);
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itemTypes.add(item.name);
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item.remaining -= quantity;
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}
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public boolean containsItemType(String itemName) {
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return itemTypes.contains(itemName);
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}
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@Override
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public String toString() {
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StringBuilder sb = new StringBuilder();
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sb.append("储物柜").append(id).append(": ");
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sb.append(String.format("剩余空间%.4f", remainingSpace)).append("\n");
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for (Map.Entry<String, Integer> entry : contents.entrySet()) {
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sb.append(" ").append(entry.getKey()).append(": ").append(entry.getValue()).append("个\n");
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}
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return sb.toString();
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}
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}
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static class PackingSolution {
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List<Locker> lockers;
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int totalLockersUsed;
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double overallUtilization;
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int itemTypeChanges;
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int pureLockers; // 纯种类储物柜数量
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public PackingSolution() {
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this.lockers = new ArrayList<>();
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}
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public void addLocker(Locker locker) {
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lockers.add(locker);
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totalLockersUsed = lockers.size();
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}
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public void calculateMetrics() {
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double totalUsedSpace = 0;
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itemTypeChanges = 0;
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pureLockers = 0;
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String lastItemType = null;
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for (Locker locker : lockers) {
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totalUsedSpace += (1.0 - locker.remainingSpace);
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// 统计纯种类储物柜
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if (locker.itemTypes.size() == 1) {
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pureLockers++;
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}
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for (String itemType : locker.itemTypes) {
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if (lastItemType != null && !lastItemType.equals(itemType)) {
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itemTypeChanges++;
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}
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lastItemType = itemType;
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}
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}
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overallUtilization = totalUsedSpace / totalLockersUsed;
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}
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@Override
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public String toString() {
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calculateMetrics();
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StringBuilder sb = new StringBuilder();
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sb.append("=== 优化摆放方案 ===\n");
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sb.append("使用的储物柜数量: ").append(totalLockersUsed).append("个\n");
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sb.append("纯种类储物柜: ").append(pureLockers).append("个\n");
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sb.append("平均空间利用率: ").append(String.format("%.2f", overallUtilization * 100)).append("%\n");
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sb.append("物品种类切换次数: ").append(itemTypeChanges).append("次\n\n");
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// 先显示纯种类储物柜，再显示混合储物柜
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List<Locker> pureLockersList = new ArrayList<>();
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List<Locker> mixedLockersList = new ArrayList<>();
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for (Locker locker : lockers) {
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if (locker.itemTypes.size() == 1) {
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pureLockersList.add(locker);
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} else {
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mixedLockersList.add(locker);
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}
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}
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sb.append("【纯种类储物柜】:\n");
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for (Locker locker : pureLockersList) {
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sb.append(locker.toString()).append("\n");
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}
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sb.append("【混合储物柜】:\n");
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for (Locker locker : mixedLockersList) {
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sb.append(locker.toString()).append("\n");
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}
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return sb.toString();
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}
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}
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public static void main(String[] args) {
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Scanner scanner = new Scanner(System.in);
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System.out.println("请输入物品种类数量:");
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int itemTypes = scanner.nextInt();
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scanner.nextLine();
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List<Item> items = new ArrayList<>();
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for (int i = 0; i < itemTypes; i++) {
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System.out.println("\n请输入第" + (i + 1) + "种物品的信息:");
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System.out.print("物品名称: ");
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String name = scanner.nextLine();
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System.out.print("单种存放最大数量: ");
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int maxCapacity = scanner.nextInt();
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System.out.print("库存数量: ");
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int stock = scanner.nextInt();
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scanner.nextLine();
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items.add(new Item(name, maxCapacity, stock));
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}
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PackingSolution solution = optimizedPacking(items);
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System.out.println("\n" + solution);
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scanner.close();
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}
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/**
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* 优化装箱算法：先集中处理同种物品，最后处理余料
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*/
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public static PackingSolution optimizedPacking(List<Item> items) {
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List<Item> itemsToPack = new ArrayList<>();
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for (Item item : items) {
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itemsToPack.add(new Item(item.name, item.maxCapacity, item.stock));
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}
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PackingSolution solution = new PackingSolution();
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int lockerId = 1;
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// 第一阶段：对每种物品进行集中处理
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for (Item item : itemsToPack) {
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if (item.remaining == 0) continue;
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// 计算这种物品需要多少个完整的储物柜
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int fullLockersNeeded = item.remaining / item.maxCapacity;
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int remainder = item.remaining % item.maxCapacity;
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// 分配完整储物柜
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for (int i = 0; i < fullLockersNeeded; i++) {
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Locker locker = new Locker(lockerId++);
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locker.addItem(item, item.maxCapacity);
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solution.addLocker(locker);
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}
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// 如果有余料，暂时保留（第二阶段处理）
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}
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// 第二阶段：收集所有余料
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List<Item> remainingItems = new ArrayList<>();
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for (Item item : itemsToPack) {
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if (item.remaining > 0) {
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remainingItems.add(item);
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}
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}
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// 如果还有余料，用最佳适应算法处理
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if (!remainingItems.isEmpty()) {
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processRemainingItems(remainingItems, solution, lockerId);
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}
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return solution;
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}
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/**
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* 处理剩余物品（余料）
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*/
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private static void processRemainingItems(List<Item> remainingItems, PackingSolution solution, int startLockerId) {
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int lockerId = startLockerId;
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// 按空间占用从大到小排序（优先处理大物品）
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remainingItems.sort((a, b) -> Double.compare(b.unitSpace, a.unitSpace));
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for (Item item : remainingItems) {
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while (item.remaining > 0) {
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// 优先尝试放入已有同种物品的储物柜
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Locker sameTypeLocker = findSameTypeLocker(solution, item);
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if (sameTypeLocker != null) {
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int maxCanAdd = (int) Math.floor(sameTypeLocker.remainingSpace / item.unitSpace);
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int actualAdd = Math.min(item.remaining, maxCanAdd);
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sameTypeLocker.addItem(item, actualAdd);
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continue;
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}
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// 其次尝试放入现有储物柜（最佳适应）
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Locker bestLocker = findBestLocker(solution, item);
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if (bestLocker != null) {
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int maxCanAdd = (int) Math.floor(bestLocker.remainingSpace / item.unitSpace);
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int actualAdd = Math.min(item.remaining, maxCanAdd);
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bestLocker.addItem(item, actualAdd);
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continue;
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}
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// 最后创建新储物柜
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Locker newLocker = new Locker(lockerId++);
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int maxCanAdd = (int) Math.floor(1.0 / item.unitSpace);
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int actualAdd = Math.min(item.remaining, maxCanAdd);
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newLocker.addItem(item, actualAdd);
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solution.addLocker(newLocker);
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}
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}
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}
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/**
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* 寻找已有同种物品的储物柜
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*/
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private static Locker findSameTypeLocker(PackingSolution solution, Item item) {
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Locker bestLocker = null;
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double bestRemaining = -1;
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for (Locker locker : solution.lockers) {
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if (locker.containsItemType(item.name) && locker.canAdd(item, 1)) {
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if (locker.remainingSpace > bestRemaining) {
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bestLocker = locker;
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bestRemaining = locker.remainingSpace;
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}
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}
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}
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return bestLocker;
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}
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/**
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* 寻找最佳适应的储物柜
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*/
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private static Locker findBestLocker(PackingSolution solution, Item item) {
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Locker bestLocker = null;
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double bestRemaining = Double.MAX_VALUE;
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for (Locker locker : solution.lockers) {
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if (locker.canAdd(item, 1) && locker.remainingSpace < bestRemaining) {
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bestLocker = locker;
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bestRemaining = locker.remainingSpace;
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}
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}
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return bestLocker;
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}
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/**
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* 高级优化：智能余料分配
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*/
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public static PackingSolution advancedOptimizedPacking(List<Item> items) {
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List<Item> itemsToPack = new ArrayList<>();
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for (Item item : items) {
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itemsToPack.add(new Item(item.name, item.maxCapacity, item.stock));
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}
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PackingSolution solution = new PackingSolution();
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int lockerId = 1;
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// 第一阶段：集中处理每种物品
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Map<String, Integer> remainders = new HashMap<>();
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for (Item item : itemsToPack) {
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if (item.remaining == 0) continue;
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int fullLockers = item.remaining / item.maxCapacity;
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int remainder = item.remaining % item.maxCapacity;
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for (int i = 0; i < fullLockers; i++) {
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Locker locker = new Locker(lockerId++);
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locker.addItem(item, item.maxCapacity);
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solution.addLocker(locker);
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}
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if (remainder > 0) {
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remainders.put(item.name, remainder);
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}
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}
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// 第二阶段：智能余料分配
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if (!remainders.isEmpty()) {
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smartRemainderProcessing(remainders, itemsToPack, solution, lockerId);
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}
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return solution;
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}
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/**
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* 智能余料处理：尝试将余料组合成完整储物柜
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*/
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private static void smartRemainderProcessing(Map<String, Integer> remainders,
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List<Item> items,
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PackingSolution solution,
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int startLockerId) {
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int lockerId = startLockerId;
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// 尝试找到可以完美组合的余料
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boolean foundCombination;
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do {
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foundCombination = false;
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// 寻找可以填满一个储物柜的余料组合
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for (Item item1 : items) {
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if (remainders.getOrDefault(item1.name, 0) == 0) continue;
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for (Item item2 : items) {
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if (item1.name.equals(item2.name) || remainders.getOrDefault(item2.name, 0) == 0) continue;
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double spaceNeeded = remainders.get(item1.name) * item1.unitSpace +
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remainders.get(item2.name) * item2.unitSpace;
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if (spaceNeeded <= 1.0 + 1e-6) { // 考虑浮点误差
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Locker locker = new Locker(lockerId++);
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locker.addItem(item1, remainders.get(item1.name));
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locker.addItem(item2, remainders.get(item2.name));
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solution.addLocker(locker);
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remainders.put(item1.name, 0);
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remainders.put(item2.name, 0);
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foundCombination = true;
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break;
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}
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}
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if (foundCombination) break;
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}
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} while (foundCombination);
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// 处理剩余的零散余料
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for (Item item : items) {
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int remainder = remainders.getOrDefault(item.name, 0);
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if (remainder > 0) {
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Locker bestLocker = findBestLockerForRemainder(solution, item, remainder);
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if (bestLocker != null) {
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bestLocker.addItem(item, remainder);
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} else {
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Locker newLocker = new Locker(lockerId++);
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newLocker.addItem(item, remainder);
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solution.addLocker(newLocker);
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}
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}
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}
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}
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private static Locker findBestLockerForRemainder(PackingSolution solution, Item item, int quantity) {
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Locker bestLocker = null;
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double bestFit = Double.MAX_VALUE;
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for (Locker locker : solution.lockers) {
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if (locker.canAdd(item, quantity)) {
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double remainingAfterAdd = locker.remainingSpace - quantity * item.unitSpace;
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if (remainingAfterAdd < bestFit) {
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bestLocker = locker;
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bestFit = remainingAfterAdd;
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}
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}
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}
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return bestLocker;
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}
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/**
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* 性能测试和比较
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*/
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public static void performanceTest() {
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System.out.println("=== 性能测试 ===");
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// 测试数据
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List<Item> testItems = Arrays.asList(
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new Item("X", 20, 87),
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new Item("Y", 15, 63),
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new Item("Z", 34, 125),
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new Item("T", 25, 48),
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new Item("U", 40, 92)
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);
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System.out.println("测试物品数量: " + testItems.size());
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int totalItems = testItems.stream().mapToInt(item -> item.stock).sum();
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System.out.println("总物品数量: " + totalItems);
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long startTime = System.currentTimeMillis();
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PackingSolution solution = optimizedPacking(testItems);
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long endTime = System.currentTimeMillis();
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System.out.println("\n优化算法结果:");
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System.out.println("处理时间: " + (endTime - startTime) + "ms");
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System.out.println("储物柜数量: " + solution.totalLockersUsed);
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System.out.println("纯种类储物柜: " + solution.pureLockers);
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System.out.println("空间利用率: " + String.format("%.2f", solution.overallUtilization * 100) + "%");
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}
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}
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