The symbol for a queue

Keep 2 stacks, let's call them inbox and outbox.

Enqueue:

• Push the new element onto inbox

Dequeue:

• If outbox is empty, refill it by popping each element from inbox and pushing it onto outbox

• Pop and return the top element from outbox

Using this method, each element will be in each stack exactly once - meaning each element will be pushed twice and popped twice, giving amortized constant time operations.

Here's an implementation in Java:

public class Queue<E>
{

    private Stack<E> inbox = new Stack<E>();
    private Stack<E> outbox = new Stack<E>();

    public void queue(E item) {
        inbox.push(item);
    }

    public E dequeue() {
        if (outbox.isEmpty()) {
            while (!inbox.isEmpty()) {
               outbox.push(inbox.pop());
            }
        }
        return outbox.pop();
    }

}

That looks very unsafe (very little synchronization); how about something like:

class SizeQueue<T>
{
    private readonly Queue<T> queue = new Queue<T>();
    private readonly int maxSize;
    public SizeQueue(int maxSize) { this.maxSize = maxSize; }

    public void Enqueue(T item)
    {
        lock (queue)
        {
            while (queue.Count >= maxSize)
            {
                Monitor.Wait(queue);
            }
            queue.Enqueue(item);
            if (queue.Count == 1)
            {
                // wake up any blocked dequeue
                Monitor.PulseAll(queue);
            }
        }
    }
    public T Dequeue()
    {
        lock (queue)
        {
            while (queue.Count == 0)
            {
                Monitor.Wait(queue);
            }
            T item = queue.Dequeue();
            if (queue.Count == maxSize - 1)
            {
                // wake up any blocked enqueue
                Monitor.PulseAll(queue);
            }
            return item;
        }
    }
}

(edit)

In reality, you'd want a way to close the queue so that readers start exiting cleanly - perhaps something like a bool flag - if set, an empty queue just returns (rather than blocking):

bool closing;
public void Close()
{
    lock(queue)
    {
        closing = true;
        Monitor.PulseAll(queue);
    }
}
public bool TryDequeue(out T value)
{
    lock (queue)
    {
        while (queue.Count == 0)
        {
            if (closing)
            {
                value = default(T);
                return false;
            }
            Monitor.Wait(queue);
        }
        value = queue.Dequeue();
        if (queue.Count == maxSize - 1)
        {
            // wake up any blocked enqueue
            Monitor.PulseAll(queue);
        }
        return true;
    }
}