Reliability of capacitated systems with performance sharing mechanism

Abstract Studies have been done on the reliability modelling of systems with performance sharing mechanism, which is applicable in energy systems, computing systems, pollution treatment systems, etc. Most existing researches share a common assumption that every component must satisfy its demand after proper performance redistribution, i.e., performance sharing. However, some systems may allow certain extent of performance deficiency. In this paper, we consider a system with performance sharing mechanism where the system works as long as the summed weighted deficiency is smaller than the reliable threshold (pre-set value) after two types of performance sharing: surplus redistribution and maximal redistribution. The amount of shared performance is limited by the capacity of bandwidth. A universal generating function technique is adopted to evaluate the system reliability, and numerical examples are presented to illustrate the applications.

[1]  Xiaoxin Guo,et al.  Reliability and maintenance policies for a two-stage shock model with self-healing mechanism , 2018, Reliab. Eng. Syst. Saf..

[2]  Rui Peng.  Optimal component allocation in a multi-state system with hierarchical performance sharing groups , 2019, J. Oper. Res. Soc..

[3]  Gregory Levitin,et al.  A universal generating function approach for the analysis of multi-state systems with dependent elements , 2004, Reliab. Eng. Syst. Saf..

[4]  Bentolhoda Jafary,et al.  A universal generating function-based multi-state system performance model subject to correlated failures , 2016, Reliab. Eng. Syst. Saf..

[5]  Hui Xiao,et al.  Optimal allocation and maintenance of multi-state elements in series-parallel systems with common bus performance sharing , 2014, Comput. Ind. Eng..

[6]  Hui Xiao,et al.  Reliability of multi-state systems with a performance sharing group of limited size , 2017, Reliab. Eng. Syst. Saf..

[7]  Hui Xiao,et al.  Optimal loading and protection of multi-state systems considering performance sharing mechanism , 2016, Reliab. Eng. Syst. Saf..

[8]  Lirong Cui,et al.  Reliability evaluation of generalised multi-state k-out-of-n systems based on FMCI approach , 2010, Int. J. Syst. Sci..

[9]  Yi Ding,et al.  Fuzzy Multi-State Systems: General Definitions, and Performance Assessment , 2008, IEEE Transactions on Reliability.

[10]  Yi Ding,et al.  Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique , 2009, Reliab. Eng. Syst. Saf..

[11]  Rui Peng,et al.  A Study of Reliability of Multi-State Systems with Two Performance Sharing Groups , 2016, Qual. Reliab. Eng. Int..

[12]  Wei-Chang Yeh,et al.  A simple universal generating function method for estimating the reliability of general multi-state node networks , 2008 .

[13]  Fei Zhao,et al.  Optimal element loading for linear sliding window systems , 2016 .

[14]  Yifan Zhou,et al.  Reliability evaluation of multi-state series systems with performance sharing , 2018, Reliab. Eng. Syst. Saf..

[15]  Gregory Levitin,et al.  Reliability of multi-state systems with common bus performance sharing , 2011 .

[16]  Jun Yang,et al.  Reliability analysis of repairable multi-state system with common bus performance sharing , 2014, Reliab. Eng. Syst. Saf..

[17]  Gregory Levitin,et al.  Optimal replacement and allocation of multi-state elements in k-within-m-from-r/n sliding window systems , 2016 .

[18]  Liudong Xing,et al.  Aggregated combinatorial reliability model for non-repairable parallel phased-mission systems , 2018, Reliab. Eng. Syst. Saf..

[19]  Yu Xu,et al.  State Distributions of Multi-State Consecutive-$k$ Systems , 2012, IEEE Transactions on Reliability.

[20]  Rui Peng,et al.  Defense and attack of performance-sharing common bus systems , 2017, Eur. J. Oper. Res..

[21]  Siqi Wang,et al.  Reliability analysis of multi-state k-out-of-n: G system with common bus performance sharing , 2018, Comput. Ind. Eng..

[22]  Liudong Xing,et al.  Efficient analysis of multi-state k-out-of-n systems , 2015, Reliab. Eng. Syst. Saf..

[23]  Gregory Levitin,et al.  Importance and sensitivity analysis of multi-state systems using the universal generating function method , 1999 .

[24]  Liudong Xing,et al.  Multi-Valued Decision Diagram-Based Reliability Analysis of $k$ -out-of-$n$ Cold Standby Systems Subject to Scheduled Backups , 2015, IEEE Transactions on Reliability.

[25]  Gregory Levitin,et al.  The Universal Generating Function in Reliability Analysis and Optimization , 2005 .

[26]  Bin Liu,et al.  Reliability Modeling and Analysis of Load-Sharing Systems With Continuously Degrading Components , 2018, IEEE Transactions on Reliability.

[27]  Srinivas Sriramula,et al.  Impact of common cause failure on reliability performance of redundant safety related systems subject to process demand , 2018, Reliab. Eng. Syst. Saf..

[28]  Yu Zhao,et al.  Reliability evaluation of non-repairable phased-mission common bus systems with common cause failures , 2017, Comput. Ind. Eng..