The invention concerns a method, arrangement (26), computer program and a computer program product for allocating physical cloud computing resources (12, 16, 18) to processes, where at least some of the cloud computing resources (12, 16, 18) have different ages, said cloud computing resources (12, 16, 18) having individual primary failure probabilities, each being based on an age dependent failure probability function of the cloud computing resource. The receives requests for performing computational tasks for a number of processes, where the processes have different process priorities, investigates the availability of the cloud computing resources for performing the tasks of the requests, and assigns the available cloud computing resources to the based on the process priorities, where processes with the highest process priorities are assigned to the cloud computing resources (12, 16, 18) having the lowest primary failure probabilities.