1. A system for managing requests for an additional virtual machine, the system comprising: a memory; a processor communicatively coupled to the memory, where the processor is configured to perform operating at least one virtual machine accessing at least one computer resource associated with at least one physical machine within a computing cluster; receiving at least one non-deterministic virtual machine request for the computer resource; modeling an over-utilization of the computer resource as a probability distribution function, wherein the probability distribution function is a Beta distribution function to represent one of a plurality of probability distribution functions; based on a probability of a utilization of the computer resource being less than a probalistic bound on the over-utilization of the computer resource, allowing admission of an additional virtual machine on the physical machine associated with the computer resource, otherwise, rejecting the request for the computer resource.