[ BUILD # : 200710301200 ]
[ JDK VERSION : 1.6.0_02 ]

The code could look as follows:

    private Message createJMSMessageForjmsMyQueue(Session session,
String messageData) throws JMSException {
        TextMessage message = session.createTextMessage(messageData);
        return message;
    }

    private void sendJMSMessageToMyQueue(String messageData) throws
JMSException {
        Connection connection = null;
        Session session = null;
        try {
            connection = myQueueFactory.createConnection();
            session = connection.createSession(false,
javax.jms.Session.AUTO_ACKNOWLEDGE);
            MessageProducer messageProducer =
session.createProducer(myQueue);
           
messageProducer.send(createJMSMessageForjmsMyQueue(session,
messageData));
        } finally {
            if (session != null) {
                session.close();
            }
            if (connection != null) {
                connection.close();
            }
        }
    }