Solution algorithms for a nonhomogeneous multi-component inspection model

In this paper, we present three solution algorithms for an established multi-component inspection system model based upon the delay time concept. First, Algorithm 1 is developed for obtaining the system replacement time if the defect arrival process is non-homogeneous. Algorithm 2 is presented as an extension to Algorithm 1 in which the non-constant optimal inspection intervals are also determined. Algorithm 3 is a numerical algorithm for solving an integral equation arising within the model in the case of opportunistic inspection at failures. Finally, an example is given to demonstrate the algorithm set in practice. The proof of the existence and uniqueness of solutions are presented.