Some stochastic comparisons in series systems with active redundancy

Valdés, José E.; Arango, G.; Zequeira, Rómulo I.; Brito, Gerandy

doi:10.1016/j.spl.2010.02.005

Cited by 29 publications

(21 citation statements)

References 12 publications

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“…The general problem of where to allocate an active or standby redundant component has been studied along the 90's, as can be seen in related works . More recently, additional results have been provided by other works …”

Section: Introductionmentioning

confidence: 99%

Allocation of a relevation in redundancy problems

Belzunce

Martínez-Riquelme

Ruiz

2018

Appl Stoch Models Bus & Ind

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The relevation can be considered as a replacement or repair policy in reliability, in which, when a unit fails, the unit is restored to a working condition just previous to the failure, in the sense that the age of the unit is not changed but the failure rate changes. It can be also considered as a generalization of the minimal repair policy and the load-sharing model. In this paper, we consider the problem of where to allocate a relevation in a system to increase the reliability of the system and the particular cases of load-sharing and minimal repair policies.

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Section: Introductionmentioning

confidence: 99%

Allocation of a relevation in redundancy problems

Belzunce

Martínez-Riquelme

Ruiz

2018

Appl Stoch Models Bus & Ind

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“…Using the failure rate order, Ding and Li [8] dealt with how to allocate several parallel redundancies to a kout-of-n system consisting of independent components. Based on different stochastic orders, Valdé s et al [9] compared random lifetimes of series systems with two different redundancy allocation policies. Misra et al [10] studied stochastic orders relationships between random lifetimes of series (parallel) systems with two different redundancy allocation policies.…”

Section: Introductionmentioning

confidence: 99%

Redundancy Optimization for Series and Parallel Systems Exposed to Random Shocks

Ling¹

2019

IJPE

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This paper is devoted to redundancy allocation in series (parallel) systems subject to random shocks. The non-homogeneous Poisson process is used to describe the shock process, and redundant series (parallel) system reliability is given. The majorization order allows for stochastic comparison between random lifetimes of systems under two redundancy allocation policies. Then, the redundancy allocation policy for maximizing (minimizing) the series (parallel) system reliability is presented. Finally, the effect of the number of subsystems on system reliability is analyzed.

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“…This topic has posed many interesting problems to which many researchers have devoted themselves in the past decades; see, for example, Boland, El-Neweihi, and Proschan (1992); Shaked and Shanthikumar (1992); Singh and Misra (1994); Singh and Singh (1997); Mi (1998); Ramirez-Marquez and Coit (2004) ;Yalaoui, Chu, and Châtelet (2005); da Costa Bueno (2005); Valdés and Zequeira (2006); da Costa Bueno and do Carmo (2007); Hu and Wang (2009) ;Valdés, Arango, and Zequeira (2010) ;Brito, Zequeira, and Valdès (2011);Misra, Dhariyal, and Gupta (2009) ;Misra, Misra, and Dhariyal (2011a,b); Zhao, Chan, and Ng (2012) ;Zhao, Chan, Li, and Ng (2013a,b); Laniado and Lillo (2014) and the references therein. In general, there are two types of redundancies called active redundancy and standby redundancy commonly used in reliability engineering and system security.…”

Section: Introductionmentioning

confidence: 99%