This specifies the number of DMM messages (constrained to 2-65535) that will be transmitted for one iteration of a delay-measurement test, as explicitly stated in the description, directly determining the sample size behind each iteration's min/max/avg delay results. An admin raises this count to get more statistically reliable delay figures per iteration, at the cost of a longer test duration and more DMM traffic generated on the service being measured. For example, setting cienaCesCfmDelayMsgCount to 1000 rather than the protocol minimum of 2 would produce a far more statistically meaningful average and maximum delay figure per iteration, better able to catch rare spikes.