Production reliability evaluation of continuum-state manufacturing system based on universal generating function

2013 ◽  
Author(s):  
Fen Kuang ◽  
Wei Dai ◽  
Yu Zhao
Keyword(s):  
Generating Function ◽  
Manufacturing System ◽  
Reliability Evaluation ◽  
Continuum State ◽  
Universal Generating Function

scholarly journals Modelling and evaluation of multi-state reliability of repairable non-series manufacturing system with finite buffers

2019 ◽  
Vol 11 (6) ◽  
pp. 168781401985548 ◽  
Author(s):  
Jianguo Duan ◽  
Nan Xie ◽  
Lianhui Li
Keyword(s):  
Generating Function ◽  
Flexible Manufacturing ◽  
Manufacturing Systems ◽  
Manufacturing System ◽  
System Structure ◽  
Function Technique ◽  
Practical Case ◽  
Finite Buffers ◽  
Measurement Models ◽  
Universal Generating Function

The capacity and capability of flexible manufacturing system varies with different market demands. To satisfy the requirements of performance expressions, avoid the problem of combinatorial explosion and consider the influence of intermediate buffer stations, a new reliability modelling and evaluating methodology for repairable non-series hybrid flexible manufacturing systems with finite buffers is proposed using an extended vector universal generating function technique. For repairable modular machines, the Markov models of modular machines are established using stochastic process analysis and the corresponding theoretical steady-state probability in various states is obtained. Furthermore, the original system in combination with multi-state reliability measures of buffer stations is equivalent to a system with independent machines which can be expressed by vector u-functions. Based on the probability distributions of the states of subsystems, the composition operators for series connections and parallel connections are defined. Consequently, the entire system is simplified to one component represented by the polynomial universal generating function. In particular, reliability indicators and measurement models are given to assess the system’s reliability through promoting the basic ones. Finally, a practical case of engine head machining line is utilized to verify the effectiveness of the method. The results demonstrate that the use of vector universal generating functions can describe the system structure and states more appropriately while providing efficient assessment.

Reliability evaluation of repairable weighted system using interval valued universal generating function

2020 ◽  
Vol 37 (6/7) ◽  
pp. 957-981
Author(s):  
Soni Bisht ◽  
S. B. Singh ◽  
Renu Tamta
Keyword(s):  
Markov Process ◽  
Generating Function ◽  
Design Methodology ◽  
Reliability Evaluation ◽  
Content Type ◽  
Reliability Indices ◽  
System Parameters ◽  
Reliability Characteristics ◽  
Interval Valued ◽  
Universal Generating Function

PurposeTo find the reliability characteristics of repairable weighted (u, v)- out-of-(x, y) system using the interval valued universal generating function (IUGF).Design/methodology/approachIn this paper (u, v)-out-of-(x, y) system is an extension of the k-out-of-n system. Here, the interval valued universal generating function (UGF) is present and the corresponding operators are defined.FindingsThe present paper proposes a interval valued universal generating function (IUGF) to compute the reliability indices of the considered system. The current study investigates the reliability and sensitivity of the proposed system with respect to system parameters by applying Markov process with the help of the interval valued UGF approach.Originality/valueIn this work, the considered system, i.e. repairable weighted (u, v)-of-the- (x, y) is the extension of k-out-of-n system for the assessment of reliability characteristics using the interval valued UGF.

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