Some results for repairable systems with general repair

Kijima, Masaaki

doi:10.1017/s0021900200041826

Cited by 245 publications

(342 citation statements)

References 5 publications

Supporting

Mentioning

333

Contrasting

Unclassified

Order By: Relevance

“…Thus, on using (11) and (14), we get that k 3 (t) ≥ 0. Further, X 1 ≤ hr X 2 and ω(u) ≥ g(α)u imply that…”

Section: General Scenariomentioning

confidence: 97%

See 1 more Smart Citation

On Stochastic Comparisons for Load-Sharing Series and Parallel Systems

Finkelstein

Hazra

2016

Prob. Eng. Inf. Sci.

View full text Add to dashboard Cite

We study the allocation strategies for redundant components in the load-sharing series/parallel systems. We show that under the specified assumptions, the allocation of a redundant component to the stochastically weakest (strongest) component of a series (parallel) system is the best strategy to achieve its maximal reliability. The results have been studied under cumulative exposure model and for a general scenario as well. They have a clear intuitive meaning, however, the corresponding additional assumptions are not obvious, which can be seem from the proofs of our theorems.

show abstract

“…Thus, on using (11) and (14), we get that k 3 (t) ≥ 0. Further, X 1 ≤ hr X 2 and ω(u) ≥ g(α)u imply that…”

Section: General Scenariomentioning

confidence: 97%

“…Thus, we must recalculate the component's age t before the switching and obtain its initial age after the switching to be called the virtual age (see, e.g., Kijima [11] and Finkelstein [5]). Denote it by ω(u).…”

Section: Introductionmentioning

confidence: 99%

On Stochastic Comparisons for Load-Sharing Series and Parallel Systems

Finkelstein

Hazra

2016

Prob. Eng. Inf. Sci.

View full text Add to dashboard Cite

show abstract

“…Here, the effect of PM results in a restoration of the item so that the item's virtual remaining life is effectively increased. The concept of virtual age is introduced in Kijima et al 1988; and then extended in Kijima (1989). In this study, the jth PM only reimburses the damage accrued during the time between the (j -1)th and the jth PM activities, as a result an arithmetic reduction of virtual remaining life can be obtain (Martorell et al 1999).…”

Section: Assumptionsmentioning

confidence: 99%

Money-back guarantee warranty policy with preventive maintenance strategy for sensor-embedded remanufactured products

Alqahtani

Gupta

2018

J Ind Eng Int

View full text Add to dashboard Cite

In today's global environment, technology is constantly evolving. Being able to stay up-to-date with the very latest technological advances can be extremely hard to accomplish. As a result of these changes and developments in technology, which often come unexpectedly, consumers are frequently tempted to update their devices to the very latest model. The result is that the life cycle of a product is becoming shorter and shorter than before. Manufacturers attempt to respond to consumers' concerns involving environmental issues as well as the more governmentally stringent environmental legislations by establishing facilities which include the minimization of the totality of waste relocated to landfills by recovering materials and components from returned, or End-Of-Life products and reuse them to build a remanufactured product, and/ or novel components. With the rapid growth of interest in remanufactured products' market, offering warranty for remanufactured products and components is becoming a necessity for remanufacturer in order to meet customers' requirement and as a marketing mechanism. During that process, maintenance policies are of great importance in order to reduce the warranty cost on the remanufacturer. In this paper, an optimization simulation model for remanufactured items sold with one-dimensional non-renewing money-back guarantee (MBG) warranty policy is proposed from the view of remanufacturer, in which, an End-Of-Life product is subjected to upgrade action at the end of its past life and during the warranty period, preventive maintenance actions are carried out when the remaining life of the product reaches a prespecified value so that the remanufacturer's expected profit can be maximized. Finally, a numerical example and design of experiment analysis are provided to demonstrate the proposed approach.

show abstract

“…The forthcoming cycles are defined in a similar way to form a process of general repair (Kijima, 1989;Finkelstein, 2000). The sequence of ages after the i th repair …”

Section: Aging Of Repairable Systemsmentioning

confidence: 99%

On damage accumulation and biological aging

Finkelstein¹

2009

Journal of Statistical Planning and Inference

View full text Add to dashboard Cite

If biological aging is understood as some process of damage accumulation, it does not necessarily lead to increasing mortality rate. Within the framework of suggested models and relevant examples we show that even for the monotonically increasing degradation, the mortality rate can, at least, ultimately decrease. Aging properties of systems with imperfect repair are also studied. It is shown that for some models of imperfect repair the corresponding age process is monotone and stable. This means that as ∞ → t , degradation slows down, which results in the mortality rate deceleration and its possible convergence to a constant.

show abstract

Some results for repairable systems with general repair

Cited by 245 publications

References 5 publications

On Stochastic Comparisons for Load-Sharing Series and Parallel Systems

On Stochastic Comparisons for Load-Sharing Series and Parallel Systems

Money-back guarantee warranty policy with preventive maintenance strategy for sensor-embedded remanufactured products

On damage accumulation and biological aging

Contact Info

Product

Resources

About