下面是一个简单的例子，你可以用它来进行初步学习:

import java.util.Comparator;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Random;

public class PQExample {

    public static void main(String[] args) {
        //PriorityQueue with Comparator
        Queue<Customer> cpq = new PriorityQueue<>(7, idComp);
        addToQueue(cpq);
        pollFromQueue(cpq);
    }

    public static Comparator<Customer> idComp = new Comparator<Customer>(){

        @Override
        public int compare(Customer o1, Customer o2) {
            return (int) (o1.getId() - o2.getId());
        }

    };

    //utility method to add random data to Queue
    private static void addToQueue(Queue<Customer> cq){
        Random rand = new Random();
        for(int i=0;i<7;i++){
            int id = rand.nextInt(100);
            cq.add(new Customer(id, "KV"+id));
        }
    }


    private static void pollFromQueue(Queue<Customer> cq){
        while(true){
            Customer c = cq.poll();
            if(c == null) break;
            System.out.println("Customer Polled : "+c.getId() + " "+ c.getName());
        }
    }

}

只是为了回答add() vs offer()问题(因为另一个问题在我看来已经完美回答了，这可能不是):

根据接口Queue上的JavaDoc，“offer方法尽可能插入一个元素，否则返回false。这与合集不同。方法，该方法只能通过抛出未经检查的异常来添加元素。offer方法设计用于故障是正常情况，而不是异常情况，例如在固定容量(或“有界”)队列中。”

That means if you can add the element (which should always be the case in a PriorityQueue), they work exactly the same. But if you can't add the element, offer() will give you a nice and pretty false return, while add() throws a nasty unchecked exception that you don't want in your code. If failure to add means code is working as intended and/or it is something you'll check normally, use offer(). If failure to add means something is broken, use add() and handle the resulting exception thrown according to the Collection interface's specifications.

它们都是通过这种方式实现的，以便在Queue接口上通过返回false(在有容量限制的队列中首选的方法)来指定offer()失败，并在Collection接口上通过抛出异常来维护add()总是失败的契约。

无论如何，希望这至少澄清了问题的那一部分。

没有区别，正如在javadoc中声明的那样:

public boolean add(E e) {
    return offer(e);
}

使用构造函数重载，它接受Comparator<?super E>比较器，并传入一个比较器，它会按照排序顺序进行比较。如果你给出一个你想要如何排序的例子，如果你不确定的话，我们可以提供一些示例代码来实现比较器。(其实很简单。)

正如在其他地方所说:offer和add只是不同的接口方法实现。在JDK源代码中，添加calls offer。虽然add和offer通常具有潜在的不同行为，因为offer能够表示由于大小限制而不能添加值，但这种差异在PriorityQueue中是无关的，因为PriorityQueue是无界的。

下面是一个优先级队列按字符串长度排序的例子:

// Test.java
import java.util.Comparator;
import java.util.PriorityQueue;

public class Test {
    public static void main(String[] args) {
        Comparator<String> comparator = new StringLengthComparator();
        PriorityQueue<String> queue = new PriorityQueue<String>(10, comparator);
        queue.add("short");
        queue.add("very long indeed");
        queue.add("medium");
        while (queue.size() != 0) {
            System.out.println(queue.remove());
        }
    }
}

// StringLengthComparator.java
import java.util.Comparator;

public class StringLengthComparator implements Comparator<String> {
    @Override
    public int compare(String x, String y) {
        // Assume neither string is null. Real code should
        // probably be more robust
        // You could also just return x.length() - y.length(),
        // which would be more efficient.
        if (x.length() < y.length()) {
            return -1;
        }
        if (x.length() > y.length()) {
            return 1;
        }
        return 0;
    }
}

输出如下:

短 媒介 确实很长

下面是一个简单的例子，你可以用它来进行初步学习:

import java.util.Comparator;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Random;

public class PQExample {

    public static void main(String[] args) {
        //PriorityQueue with Comparator
        Queue<Customer> cpq = new PriorityQueue<>(7, idComp);
        addToQueue(cpq);
        pollFromQueue(cpq);
    }

    public static Comparator<Customer> idComp = new Comparator<Customer>(){

        @Override
        public int compare(Customer o1, Customer o2) {
            return (int) (o1.getId() - o2.getId());
        }

    };

    //utility method to add random data to Queue
    private static void addToQueue(Queue<Customer> cq){
        Random rand = new Random();
        for(int i=0;i<7;i++){
            int id = rand.nextInt(100);
            cq.add(new Customer(id, "KV"+id));
        }
    }


    private static void pollFromQueue(Queue<Customer> cq){
        while(true){
            Customer c = cq.poll();
            if(c == null) break;
            System.out.println("Customer Polled : "+c.getId() + " "+ c.getName());
        }
    }

}

在这里，我们可以定义用户定义的比较器:

以下代码:

 import java.util.*;
 import java.util.Collections;
 import java.util.Comparator; 


 class Checker implements Comparator<String>
 {
    public int compare(String str1, String str2)
    {
        if (str1.length() < str2.length()) return -1;
        else                               return 1;
    }
 }


class Main
{  
   public static void main(String args[])
    {  
      PriorityQueue<String> queue=new PriorityQueue<String>(5, new Checker());  
      queue.add("india");  
      queue.add("bangladesh");  
      queue.add("pakistan");  
 
      while (queue.size() != 0)
      {
         System.out.printf("%s\n",queue.remove());
      }
   }  
}  

输出: 印度 巴基斯坦 孟加拉国

提供和添加方法的区别:链接