帮我用java语言解决基于优先队列式分支限界法解决0-1背包问题,给出实例具体展示,给出具体实现代码
时间: 2024-02-11 09:04:27 浏览: 88
好的,以下是基于优先队列式分支限界法解决0-1背包问题的Java代码实现:
```java
import java.util.Comparator;
import java.util.PriorityQueue;
public class KnapsackProblem {
static class Node {
int level;
int profit;
int weight;
double bound;
public Node(int level, int profit, int weight, double bound) {
this.level = level;
this.profit = profit;
this.weight = weight;
this.bound = bound;
}
}
static class NodeComparator implements Comparator<Node> {
@Override
public int compare(Node n1, Node n2) {
return Double.compare(n2.bound, n1.bound);
}
}
public static int knapsack(int[] weights, int[] profits, int capacity) {
int n = weights.length;
PriorityQueue<Node> pq = new PriorityQueue<>(new NodeComparator());
pq.offer(new Node(-1, 0, 0, 0));
int maxProfit = 0;
while (!pq.isEmpty()) {
Node node = pq.poll();
if (node.level == n - 1) {
continue;
}
int level = node.level + 1;
int profit = node.profit + profits[level];
int weight = node.weight + weights[level];
if (weight <= capacity && profit > maxProfit) {
maxProfit = profit;
}
double bound = calculateBound(profits, weights, capacity, level, profit, weight);
if (bound > maxProfit && weight <= capacity) {
pq.offer(new Node(level, profit, weight, bound));
}
pq.offer(new Node(level, node.profit, node.weight, bound));
}
return maxProfit;
}
private static double calculateBound(int[] profits, int[] weights, int capacity, int level, int profit, int weight) {
double bound = profit;
int n = weights.length;
while (level < n && weight < capacity) {
bound += profits[level] * (capacity - weight) / (double) weights[level];
weight += weights[level];
level++;
}
return bound;
}
public static void main(String[] args) {
int[] weights = {10, 20, 30};
int[] profits = {60, 100, 120};
int capacity = 50;
int maxProfit = knapsack(weights, profits, capacity);
System.out.println("Max profit: " + maxProfit);
}
}
```
以上代码实现了基于优先队列式分支限界法解决0-1背包问题,其中 `calculateBound` 方法用于计算节点的上界。在 `main` 方法中,我们使用了一个示例,输入了一组数据,输出了最大收益。
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