1. A system for facilitating a probabilistic mission mix-based lifing process for turbine engine systems and sub-systems, said system comprising: at least one computer configured as a server, said server containing a database, said server configured to: store within said database operational data for at least one turbine engine, a plurality of cool-down curves for said at least one turbine engine, a plurality of different start types for said at least one turbine engine, at least one operating strategy and a design useful life of said at least one turbine engine; analyze said operational data stored within said database; develop at least one histogram and at least one probabilistic model using said operational data and store said at least one histogram and said at least one probabilistic model within said database; determine a mission mix for said at least one operating strategy; perform a simulation of said at least one probabilistic model combined with turbine engine cyclic life expenditure data of said at least one turbine engine; obtain a probability distribution of a total cyclic life expenditure by extending a life expended over said design useful life of said at least one turbine engine; and optimize a total turbine engine run-time.