Flex search Index synchronization fails due to message queue depth threshold error

An index synchronization job failed with an error message showing that the message queue reached its message depth threshold. When this issue occurs, the index synchronization job is terminated with the following error message shown in the SystemOut.log: [5/7/15 14:51:54:489 EDT] 000001ad SibMessage I [:] CWSIP0553W: The destination MDS.FLEX, localized at daliNode08.cubaga-MDM.SIB.cubaga has reached its message depth high threshold. [5/7/15 14:51:54:578 EDT] 000001ad SearchJobServ E com.ibm.mdm.mds.search.service.impl.SearchJobServiceImpl indexEntities Failed to queue entities for indexing java.lang.RuntimeException: add - CWSIA0067E: An exception was received during the call to the method JmsMsgProducerImpl.sendMessage (#4): com.ibm.ws.sib.processor.exceptions.SIMPLimitExceededException: CWSIK0025E: The destination MDS.FLEX on messaging engine daliNode08.cubaga-MDM.SIB.cubaga is not available because the high limit for the number of messages for this destination has already been reached.. at com.ibm.mdm.mds.search.synchronization.QueueJmsImpl.add(QueueJmsImpl.java:79) at Proxyc1007bf7_7e5e_464a_8d92_0be31b1a1aed.add(Unknown Source) at Proxyc1007bf7_7e5e_464a_8d92_0be31b1a1aed.add(Unknown Source) at Proxy3107767a_a220_44fe_b11f_daa1497e224f.add(Unknown Source) at com.ibm.mdm.mds.search.service.impl.SearchJobServiceImpl.queueEntities(SearchJobServiceImpl.java:508) at com.ibm.mdm.mds.search.service.impl.SearchJobServiceImpl.access$3(SearchJobServiceImpl.java:405)