Reliability-redundancy allocation Problem of a queueing system considering energy consumption

Abstract

In Reliability Redundancy Allocation Problem (RRAP), the reliability and redundancy of components in a given system configuration are determined while concerning some problem-specific constraints. RRAP can be applied to various industries. Moreover, queueing systems are among the most common systems in the manufacturing and service industries. Failure in queueing systems can result in unwanted severe damages. Reliability analysis of queueing systems should be undertaken concerning their performance measures. Therefore, an RRAP of a queueing system considering queueing costs is studied in this article. The proposed cost function includes queueing, repair, and energy consumption costs. A memetic algorithm is used to obtain optimal redundancy and failure rates of components and the system's service rate, which affects the energy consumption level. Extensive numerical experiments and sensitivity analyses are performed to present the problem's applicability and the proposed algorithm.