If all processes try to close the Queue immediately after someone has written to it, this causes [an error][1] (see the link for more details). Uncommenting any of the `time.sleep`s makes it work consistently again.

    import multiprocessing
    import time
    import logging
    import multiprocessing.util
    multiprocessing.util.log_to_stderr(level=logging.DEBUG)
    
    queue = multiprocessing.Queue(maxsize=10)
    
    def worker(queue):
        queue.put('abcdefghijklmnop')
    
        # "Indicate that no more data will be put on this queue by the
        # current process." --Documentation
        # time.sleep(0.01)
        queue.close()
    
    proc = multiprocessing.Process(target=worker, args=(queue,))
    proc.start()
    
    # "Indicate that no more data will be put on this queue by the current
    # process." --Documentation
    # time.sleep(0.01)
    queue.close()
    
    proc.join()

Perhaps this is because I am not understanding the documentation correctly, but in that case I would contend this is a documentation bug.

    Traceback (most recent call last):
      File "/usr/lib/python3.7/multiprocessing/queues.py", line 242, in _feed
        send_bytes(obj)
      File "/usr/lib/python3.7/multiprocessing/connection.py", line 200, in send_bytes
        self._send_bytes(m[offset:offset + size])
      File "/usr/lib/python3.7/multiprocessing/connection.py", line 404, in _send_bytes
        self._send(header + buf)
      File "/usr/lib/python3.7/multiprocessing/connection.py", line 368, in _send
        n = write(self._handle, buf)
    BrokenPipeError: [Errno 32] Broken pipe

[1]: https://stackoverflow.com/q/51680479/1078199