“…Different methods have been developed for solving the RAPs. Exact optimization methods like dynamic programming (Fyffe et al, 1968;Ng & Sancho, 2001), integer programming (Misra & Sharma, 1991), Lagrangean multipliers (Misra, 1972), and various types of the meta-heuristic algorithms such as genetic algorithm (Hamadani & Khorshidi, 2013;Ardakan et al, 2015), ant-colony optimization (Chia & Smith, 2004), Immune algorithm (Chen & You, 2004), the surrogate constraint method (Onishi et al, 2007), variable neighborhood search (VNS) algorithms (Liang & Chen, 2007), Tabu search (TS) algorithm (Ouzineb et al, 2008), and particle swarm optimization (Beji et al, 2010;Wu et al, 2011;Garg, 2013) have been used for maximizing system reliability.…”