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As already explained in MESOS-1688, there are schedulers allocating memory only for the executor and not for tasks. For tasks only CPU resources are allocated in this case.
Such a scheduler does not get offered any idle CPUs if the slave has nearly used up all memory.
This can easily lead to a dead lock (in the application, not in Mesos).
Simple example:
To fix this problem, offers must be made if either CPU or memory is allocatable.