Abstract: The emergence of Cloud data centers has revolutionized
the IT industry. Private Clouds in specific provide Cloud services
for certain group of customers/businesses. In a real-time private
Cloud each task that is given to the system has a deadline that
desirably should not be violated. Scheduling tasks in a real-time
private CLoud determine the way available resources in the system
are shared among incoming tasks. The aim of the scheduling policy is
to optimize the system outcome which for a real-time private Cloud
can include: energy consumption, deadline violation, execution time
and the number of host switches. Different scheduling policies can be
used for scheduling. Each lead to a sub-optimal outcome in a certain
settings of the system. A Bayesian Scheduling strategy is proposed
for scheduling to further improve the system outcome. The Bayesian
strategy showed to outperform all selected policies. It also has the
flexibility in dealing with complex pattern of incoming task and has
the ability to adapt.