Reliability–redundancy allocation problem with cold-standby redundancy strategy

A robust loss function approach for a multi-objective redundancy allocation problem

“…Besides, to make the modeling robust, the variances of the above two estimates are minimized as well. As the existing approaches often ignore variances of the system reliability [8] U À Unique solution Coit and Smith [2] U À Unique solution Bulfin and Liu [6] U À Unique solution Ghare and Taylor [28] U À Unique solution Sung and Cho [29] U À Unique solution Painton and Campbell [30] U À Unique solution Rubinstein et al [31] U À Unique solution Chambari et al [13] U À Unique solution Ardakan and Hamadani [14] U À Unique solution Agarwal and Sharma [15] U À Unique solution Wang and Li [16] U À Unique solution Misra and Sharma [7] U U Posterior Pareto optimality Li [ and cost estimates, this is a new formulation of the MORAP that presents special perspectives on system reliability design. It is extremely unlikely to obtain a single solution that optimizes all objective at the same time, so the MORAP involves a trade-off between objectives.…”

“…(5)- (7), (13) and (14). A flowchart of employing the loss function approach to optimize a MORAP based on bias and robustness is shown in Fig.…”

“…Chern [1] proved that the RAP is an NP-hard problem. The traditional objective for this problem is to identify optimal system configuration (the number and type of redundant components in each subsystem) to maximize system reliability (see for example [4][5][6][7][8][9][10][11][12][13][14][15][16]). Wang and Li [16] proposed a particle swarm optimization based approach to maximize the system availability with a limited budget of multi-state systems with bridge topology.…”

“…However, their approach suffered from inefficiencies and non-convergence. As a result, some other researchers involving Ghare and Taylor [5], Bulfin and Liu [6], Misra and Sharma [7] and Abouei and Hamadani [14] amended it using integer programming techniques. Besides, an improved dynamic programming technique was suggested by Nakagawa and Miyazaki [8].…”

Reliable and flexible steam and power system design

“…Unfortunately, redundant devices in hot standby and cold standby result in higher capital cost and more complex operation. Strategies on the redundant system design [21] and reliability estimation [22] mainly are applied in some safety-critical systems, such as fly-by-wire and hydraulic systems in aircraft [23], space systems, and missile systems. The concept of redundancy and its application would be extended to the key units in other fields.…”