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The paper deals with the problems of cloud computing applied for industrial applicationson the ground of practical experiences in certain manufacturing corporation. The main part of paperis orientated to proposal of the numerical model on the base of infrastructure as a service (IaaS) and its mathematical description. In addition the model has been extended to include the requirements of mission critical systems with real time behaviour and fail-safe features. The models were realised via virtualisation software Hypervisor which creates a group of available virtual resources through physical infrastructure, which can be offered to customers. Proposal solution enables to create a proper sizeof cloud infrastructure for hardware provisioning according to customer requirements.