Research of Reliability Allocation Based on Gray Theory

Qian, Yugang; Jiang, Chendi; Su, Lee Hyun

doi:10.1088/1757-899x/1043/2/022006

Cited by 2 publications

(2 citation statements)

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“…This method is suitable for the reliability-allocation task in the initial stage of system design and has been widely used in practical applications. Many researchers [5][6][7][8][9][10] have studied the method in depth by considering one or multiple factors like structural complexity, technical maturity, failure hazards, maintenance difficulties, operation conditions, etc. For example, Du et al [7] proposed a reliability-allocation method for re-manufacturing machine tools based on the failure influence, which was determined by the ratio of the downtime caused by element failure to the total downtime.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, many scholars studied the influence of expert subjectivity. For example, Qian et al [9] carried out a weighted correction of expert data through a gray correlation analysis. Neha et al [10] combined fuzzy theory to establish a hierarchical structure that is related to the expectations of users, software engineers, and programmers for software systems, and determined the reliability allocation according to Pythagorean fuzzy numbers.…”

Section: Introductionmentioning

confidence: 99%

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An Optimization Method of Flexible Manufacturing System Reliability Allocation Based on Two Dimension-Reduction Strategies

Xu,

Tao,

Pei

et al. 2023

Machines

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As increasingly extensive applications of flexible manufacturing systems (FMSs) arise, their reliability allocation has been a research hot spot. But, since FMSs are always composed of transfer and buffer devices, production machines, and complex control systems, the large number of basic elements makes the number of variables and constraints of reliability-allocation optimization increase greatly, which leads to the difficulty and inefficiency of optimization. To solve the above problem, two dimension-reduction strategies are proposed for the FMS reliability optimization with low cost and a high level of reliability as the objectives, and they are the reliability-weight double-threshold qualification strategy (RWTS) and the bi-level optimization strategy (BLOS), respectively. Based on these two strategies, an overall reliability-allocation optimization model and a bi-level reliability-allocation optimization model are established based on the FMS reliability evaluation presented in our previous work, and their algorithms based on particle swarm optimization (PSO) are presented. In terms of their contributions, for the RWTS, thresholds of reliability and the weight index of each basic element are set to dynamically reduce the number of variables in each iteration of the optimization; for the BLOS, the overall reliability-allocation optimization problem for transitioning from the FMS to basic elements can be transformed into simpler allocation optimizations from the FMS to subsystems and from subsystems to basic elements, which have fewer variables, and this can largely improve the optimization convergence performance. Through applying this to a box-parts finishing FMS, compared with the traditional optimization method, the high efficiency and the good allocation effect of the optimization based on these two strategies for improving convergence speed are verified by the simulation results. The proposed method has great significance for FMS design due to its limited cost but high-reliability requirement.

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