Reliability Analysis for Repairable Multistate Two-Unit Series Systems When Repair Time Can Be Neglected

Jia, Xujie; Shen, Jingyuan; Xing, Rui

doi:10.1109/tr.2015.2461218

Cited by 21 publications

(16 citation statements)

References 25 publications

(39 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Compared with the approaches based on traditional binary modelling theory, the multistate model is more extensively used nowadays, because it can accurately reflect the operating state of a system. CES are an example of typical multistate repairable systems . At present, reliability research on multistate systems mainly focuses on the system running level.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Comprehensive reliability evaluation of multistate complex electromechanical systems based on similarity of cloud models

Wang

Gao

et al. 2020

Quality & Reliability Eng

View full text Add to dashboard Cite

High reliability and security have become the hallmarks of complex electromechanical systems. Owing to the difficulties in fault data collection, ambiguity and uncertainty have been inevitably associated with complex electromechanical systems. Thus, the ability to perform reliability evaluation using scarce fault data is of immense significance to these machines and is the focus of this study. A similarity based cloud model is proposed to evaluate the running state of complex electromechanical systems. By combining objective and subjective factors, the reliability of complex electromechanical systems is evaluated by calculating the similarity between the cloud models of actual and standardised states. Next, the inverter of an offshore wind turbine is used to verify the accuracy and effectiveness of the proposed approach. The cloud model based framework for reliability evaluation inherits the preponderance of the uncertainty problem, overcomes the drawbacks of the current reliability approaches, and provides a theoretical basis, as well as a practical approach for the maintenance and repair of complex electromechanical systems with missing fault data. Additionally, it also provides a new methodology for solving the uncertainty problems caused by paucity of data.

show abstract

Section: Introductionmentioning

confidence: 99%

“…CES are an example of typical multistate repairable systems. [8][9][10][11] At present, reliability research on multistate systems mainly focuses on the system running level. The universal generating function (UGF), combined with a Markov process, is widely used in reliability evaluation.…”

mentioning

confidence: 99%

Comprehensive reliability evaluation of multistate complex electromechanical systems based on similarity of cloud models

Wang

Gao

et al. 2020

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…Iscioglu 33 analyzed the dynamic performance evaluation of multi-state systems under nonhomogeneous continuous time Markov process degradation. An efficient method based on state partitions and aggregations [34][35][36][37][38][39] is further suggested for deriving reliability indexes of the considered multi-state system.…”

Section: Introductionmentioning

confidence: 99%

Aggregated Markov‐based reliability analysis of multi‐state systems under combined dynamic environments

Jia

Xing

Song

2020

Quality & Reliability Eng

Self Cite

View full text Add to dashboard Cite

Reliability of a system may differ greatly when operating under different environments. However, the existing works have either neglected the environment factor in system reliability analysis or considered this factor for binary systems or systems subject to a single environment (parameter). In this paper, we make contributions by modeling a multi‐state system operating under hybrid dynamic environments affected by multiple environmental parameters. Different Markov chains with finite states are used to represent the random system behavior and dynamic environments, leading to an aggregated Markov process that models the overall system behavior. An effective approach based on state partitions and aggregations is suggested for assessing the system reliability indexes, including reliability, availability, multi‐point availability, and environment‐based reliability. A high‐pressure homogenizer system is analyzed to demonstrate the proposed model and show the comparison of the reliability of system under fixed and dynamic environment.

show abstract

“…Maintenance models that assume a unit or a system to be either operating or failed are not applicable to many real-world systems because they do not consider deterioration of the systems. To overcome this issue, we categorize the system health into three states which is an approach considered in several papers dealing with reliability analysis and maintenance modeling of multi-unit systems (Jia, Shen, & Xing, 2016;Keizer et al, 2017;Salari & Makis, 2017a).…”

Section: Introductionmentioning

confidence: 99%

Application of Markov renewal theory and semi‐Markov decision processes in maintenance modeling and optimization of multi‐unit systems

Salari

Makiš

2020

Naval Research Logistics

View full text Add to dashboard Cite

In this paper, a condition‐based maintenance model for a multi‐unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three‐state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady‐state characteristics and the formula for the long‐run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi‐Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.

show abstract

Reliability Analysis for Repairable Multistate Two-Unit Series Systems When Repair Time Can Be Neglected

Cited by 21 publications

References 25 publications

Comprehensive reliability evaluation of multistate complex electromechanical systems based on similarity of cloud models

Comprehensive reliability evaluation of multistate complex electromechanical systems based on similarity of cloud models

Aggregated Markov‐based reliability analysis of multi‐state systems under combined dynamic environments

Application of Markov renewal theory and semi‐Markov decision processes in maintenance modeling and optimization of multi‐unit systems

Contact Info

Product

Resources

About