Redundancy optimization problems with fuzzy random lifetimes

By using fuzzy random lifetimes as basic variables, three types of system performances-expected system lifetime, (/spl alpha/,/spl beta/)-system lifetime and system reliability-evaluated by fuzzy random theory are presented respectively. Some fuzzy random simulations are designed to estimate these system performances. Further, a spectrum of redundancy optimization models are constructed. In order to solve the proposed models, a hybrid intelligent algorithm is designed. Finally, a multistage system is provided for the sake of illustration.