TY - JOUR
T1 - Reliability analysis and optimization of multi-state sliding window system with sequential demands and time constraints
AU - Wang, Wei
AU - Fang, Chao
AU - Liu, Shan
AU - Xiang, Yisha
N1 - Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/4
Y1 - 2021/4
N2 - This paper proposes a new model that generalizes the multi-state sliding window system to the case involving sequential demands and time constraints. In this model, the system (named MSWS-SD&TC) contains n linearly or circularly arranged multi-state elements (MEs), and its function depends on the ability that each r-consecutive-ME group can meet the demands of sequential tasks subject to time constraints. The reliability model of the system is built with consideration of the optimal performance assignment scheme in each group of MEs. In order to effectively determine the optimal performance assignment scheme with minimum completion time in each r-consecutive-ME group, we develop a dynamic programming algorithm in this paper. We use a technique of universal generating function to represent the system states and evaluate the system reliability. Since the order of MEs has strong impact on the system reliability, we also investigate the optimal sequencing problem for the MEs in the system, and solve the problem with a genetic algorithm. Examples of evaluating system reliability and element sequencing optimization are presented for illustration.
AB - This paper proposes a new model that generalizes the multi-state sliding window system to the case involving sequential demands and time constraints. In this model, the system (named MSWS-SD&TC) contains n linearly or circularly arranged multi-state elements (MEs), and its function depends on the ability that each r-consecutive-ME group can meet the demands of sequential tasks subject to time constraints. The reliability model of the system is built with consideration of the optimal performance assignment scheme in each group of MEs. In order to effectively determine the optimal performance assignment scheme with minimum completion time in each r-consecutive-ME group, we develop a dynamic programming algorithm in this paper. We use a technique of universal generating function to represent the system states and evaluate the system reliability. Since the order of MEs has strong impact on the system reliability, we also investigate the optimal sequencing problem for the MEs in the system, and solve the problem with a genetic algorithm. Examples of evaluating system reliability and element sequencing optimization are presented for illustration.
KW - dynamic programming
KW - multi-state sliding window system
KW - optimal element sequencing
KW - sequential demands
KW - time constraint
KW - universal generating function
UR - http://www.scopus.com/inward/record.url?scp=85099262930&partnerID=8YFLogxK
U2 - 10.1016/j.ress.2021.107449
DO - 10.1016/j.ress.2021.107449
M3 - Article
AN - SCOPUS:85099262930
SN - 0951-8320
VL - 208
JO - Reliability Engineering and System Safety
JF - Reliability Engineering and System Safety
M1 - 107449
ER -