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Equations and graphs are presented which relate the growth and replenishment of a population of unrepairable equipments to the mean time before failure, replacement strategy, and other significant variables involved. Results are presented in a satellite system context, but may readily be generalized to other applications. In Part I results are presented which were obtained by simulation of various systems on digital computers. Part II presents analytic equations and approximations relating the quantities of interest, and a discussion of an alternative computer approach.