Optimum Allocation of Components in a Special 2-Port Network

A 2-port network is designed with i.i.d. components and has a) i.i.d. series stages, each with parallel components or b) i.i.d parallel strings, each with series components (dual network); components can fail in either an open or short mode. The network-success requirement is that its input-output terminals be neither open nor short. A computer algorithm is given which determines a) the number of required components from the available number of components, b) the optimum number of stages or parallel strings, and c) the optimum number of components per stage or string, to maximize system reliability. The case of an unlimited number of components is considered in connection with the design of the network to meet a prescribed level of reliability.