Optimal design for a class of noncoherent systems

The author addresses the optimization of (k-to-l)-out-of-n:G systems. A (k-to-l)-out-of-n:G system is a noncoherent system in which `no fewer than k and no more than l´ out of n units may function for the successful operation of the system. Examples of noncoherent systems are found in communication, multiprocessor and transportation systems. This class of noncoherent systems is very general and includes coherent systems, e.g. parallel, series, and N-modular redundancy, as special cases. There is an optimal system-size which maximizes the mean system profit. A numerical example illustrates the results