K-mixed strategy: A new redundancy strategy for reliability problems

Peiravi, Abdossaber; Karbasian, Mahdi; Ardakan, Mostafa Abouei

doi:10.1177/1748006x17736166

Cited by 11 publications

(6 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A k-mixed redundancy strategy has a similar procedure to a mixed strategy, with the difference that one idle component engages in the subsystem, if possible, whenever an operating component fails. 37 As switches may fail, the k-mixed redundancy strategy is expected to outperform the other ones by giving a longer time to repair or replace the failed switch. Figure 5 represents the k-mix redundancy strategy.…”

Section: Redundancy Strategiesmentioning

confidence: 99%

“…efficient estimates). Since standby, mixed, and k-mixed redundancy strategies are complex 37 and the components have a complex interaction with random decision-making variables, no closed-form analytical equations have been proposed for accuracy system reliability assessment. Previous methods sought to perform lower bound maximization on the problem Lagrangian.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Redundancy allocation of heterogeneous components by simulation-based optimization

Chambari

Azimi

Najafi

2021

Proceedings of the Institution of Mechanical Engineers, Part O:

View full text Add to dashboard Cite

The present study proposes a novel simulation-based optimization model for a series-parallel redundancy allocation problem (RAP) under heterogeneous components for reliability maximization subjected to system-level constraints through the identification of the optimal redundancy strategy, component type, and subsystem component count. To obtain higher practicality, active, cold-standby, mixed, and K-mixed redundancy strategies are incorporated as the decision variables. In general, as it is difficult to determine a closed-form (excluding active redundancy strategies), it is not possible to analytically assess system reliability. Earlier studies on system reliability optimization applied convenient lower bound approximation. This limits higher reliability levels. In order to tackle this problem, this study adopted simulation sampling to make unbiased efficient reliability estimates. To this end, 4Dscript interpreting programming was utilized to develop a simulation model. As RAP has a combinatorial nature and is a random and NP-hard problem, this study adopted the genetic algorithm (GA) optimization. To validate the model and assess GA efficiency, the numerical findings of some benchmark tests were employed. The proposed approach outperformed earlier approaches in reliability and confidence.

show abstract

Section: Redundancy Strategiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Redundancy allocation of heterogeneous components by simulation-based optimization

Chambari

Azimi

Najafi

2021

Proceedings of the Institution of Mechanical Engineers, Part O:

View full text Add to dashboard Cite

show abstract

“…Up until now, different redundancy strategies including active, standby, mixed 10 and K-mixed 11,12 have been introduced for a subsystem. Active, standby and mixed redundancy strategies are considered in this study.…”

Section: Introductionmentioning

confidence: 99%

Reliability optimization for non-repairable series-parallel systems with a choice of redundancy strategies and heterogeneous components: Erlang time-to-failure distribution

Sadeghi

Roghanian

Shahriari

et al. 2020

Proceedings of the Institution of Mechanical Engineers, Part O:

View full text Add to dashboard Cite

The redundancy allocation problem (RAP) of non-repairable series-parallel systems considering cold standby components and imperfect switching mechanism has been traditionally formulated with the objective of maximizing a lower bound on system reliability instead of exact system reliability. This objective function has been considered due to the difficulty of determining a closed-form expression for the system reliability equation. But, the solution that maximizes the lower bound for system reliability does not necessarily maximize exact system reliability and thus, the obtained system reliability may be far from the optimal reliability. This article attempts to overcome the mentioned drawback. Under the assumption that component time-to-failure is distributed according to an Erlang distribution and switch time-to-failure is exponentially distributed, a closed-form expression for the subsystem cold standby reliability equation is derived by solving an integrodifference equation. A semi-analytical expression is also derived for the reliability equation of a subsystem with mixed redundancy strategy. The accuracy and the correctness of the derived equations are validated analytically. Using these equations, the RAP of non-repairable series-parallel systems with a choice of redundancy strategies is formulated. The proposed mathematical model maximizes exact system reliability at mission time given system design constraints. Unlike most of the previous formulations, the possibility of using heterogeneous components in each subsystem is provided so that the active components can be of one type and the standby ones of the other. The results of an illustrative example demonstrate the high performance of the proposed model in determining optimal design configuration and increasing system reliability.

show abstract

“…Van Gemund and Reijns 8 studied the reliability of K -out-of- N system with a single cold standby component and Eryilmaz 9 studied the system with a single warm standby component. Besides, Peiravi et al 10 extended the mixed strategy to K -mixed strategy in which K components are kept in active mode as long as possible. Zhai et al 11 used the multi-valued decision diagram (MDD) to evaluate the reliability of system with a series of cold standby components.…”

Section: Introductionmentioning

confidence: 99%

Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems

Gong¹,

Liu

Peng

2020

Proceedings of the Institution of Mechanical Engineers, Part O:

View full text Add to dashboard Cite

In system design process, standby redundancy is a widely used technique to improve system reliability and availability. Typical standby techniques involve cold standby, hot standby, and warm standby. In this article, we investigate the repairable K-out-of- N system with mixed standby strategy containing both warm and cold standby. In the proposed system, each component can be in failure, cold, warm, and active states and the components are assumed to be repairable. The systems are modeled by continuous time Markov chain and the system long-run availability is derived. Furthermore, the optimal configuration of standby components in the system is studied considering both system availability and system running cost. Illustrative examples are presented to show the applications of the proposed model.

show abstract

K-mixed strategy: A new redundancy strategy for reliability problems

Cited by 11 publications

References 29 publications

Redundancy allocation of heterogeneous components by simulation-based optimization

Redundancy allocation of heterogeneous components by simulation-based optimization

Reliability optimization for non-repairable series-parallel systems with a choice of redundancy strategies and heterogeneous components: Erlang time-to-failure distribution

Redundancy allocation of mixed warm and cold standby components in repairable K-out-of-N systems

Contact Info

Product

Resources

About