idempotent-redelivery-policy.xml

<jms:inbound-endpoint connector-ref="Active_MQ" exchange-pattern="one-way" queue="queue1">
    <idempotent-redelivery-policy idExpression="#[message.inboundProperties['JMSMessageID']]" />
</jms:inbound-endpoint>

jms-redelivery-exception-trace

org.mule.transport.jms.redelivery.MessageRedeliveredException: "Message with id "ID:justin-mac.local-50380-1387526838363-3:1:1:1:4" has been redelivered 2 times on endpoint "jms://queue1", which exceeds the maxRedelivery setting of 1 on the connector "Active_MQ". Message payload is of type: ActiveMQTextMessage
    at org.mule.transport.jms.redelivery.JmsXRedeliveryHandler.handleRedelivery(JmsXRedeliveryHandler.java:91)
    at org.mule.transport.jms.MultiConsumerJmsMessageReceiver$JmsWorker.preProcessMessage(MultiConsumerJmsMessageReceiver.java:428)

mule-flow.xml

<?xml version="1.0" encoding="UTF-8"?>
<mule xmlns:jms="http://www.mulesoft.org/schema/mule/jms" xmlns="http://www.mulesoft.org/schema/mule/core"
     xmlns:doc="http://www.mulesoft.org/schema/mule/documentation"
     xmlns:test="http://www.mulesoft.org/schema/mule/test" version="EE-3.4.1"
     xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
     xsi:schemaLocation="http://www.mulesoft.org/schema/mule/core http://www.mulesoft.org/schema/mule/core/current/mule.xsd
http://www.mulesoft.org/schema/mule/test http://www.mulesoft.org/schema/mule/test/current/mule-test.xsd
http://www.mulesoft.org/schema/mule/jms http://www.mulesoft.org/schema/mule/jms/current/mule-jms.xsd">
    <jms:activemq-connector name="Active_MQ" brokerURL="tcp://localhost:61616" maxRedelivery="5" />
     <flow name="jmsInFlow">
          <jms:inbound-endpoint connector-ref="Active_MQ" exchange-pattern="one-way" queue="queue1">
               <idempotent-redelivery-policy idExpression="#[message.inboundProperties['JMSMessageID']]" />
          </jms:inbound-endpoint>
          <logger level="INFO" message="Received message from JMS" />
          <test:component throwException="true" exceptionToThrow="java.lang.Exception" />
        <rollback-exception-strategy maxRedeliveryAttempts="3">
            <logger message="retrying request" level="INFO"/>
            <on-redelivery-attempts-exceeded>
                <logger message="REDELIVERY EXHAUSTED" level="ERROR"/>
            </on-redelivery-attempts-exceeded>
        </rollback-exception-strategy>
     </flow>
</mule>

mule-redelivery-exception-trace

org.mule.api.exception.MessageRedeliveredException: Maximum redelivery attempts reached. Message payload is of type: String
    at org.mule.processor.IdempotentRedeliveryPolicy.process(IdempotentRedeliveryPolicy.java:198)
    at org.mule.execution.ExceptionToMessagingExceptionExecutionInterceptor.execute(ExceptionToMessagingExceptionExecutionInterceptor.java:27)