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Stochastic Modeling for Reliability

About: The article was published on 2013-01-01. It has received 108 citations till now. The article focuses on the topics: Reliability (statistics) & Stochastic optimization.
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Journal ArticleDOI
TL;DR: A system subject to two typical failure modes, degradation-based failure and sudden failure is studied to jointly optimize the replacement interval, monitoring interval and reliability criterion such that the expected cost per unit time is minimized.

129 citations

Journal ArticleDOI
TL;DR: This paper proposes a preventive maintenance policy for a single-unit system whose failure has two competing and dependent causes, i.e., internal deterioration and sudden shocks such that the expected cost per unit time is minimized.

87 citations


Additional excerpts

  • ...It is provided by Finkelstein [48], which focuses on general cases of two-stage failure processes....

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Journal ArticleDOI
TL;DR: A two-stage shock model with self-healing mechanism is proposed as an extension of cumulative shock and delta-shock models and the finite Markov chain imbedding approach is employed to obtain the probability mass function, the distribution function and the mean of shock length.

86 citations

Journal ArticleDOI
TL;DR: This paper designs the optimal mission abort policies based on the information of early-warning signals, which indicates the possible forthcoming fatal malfunction, and extends the proposed model to the scenario of a random mission duration and derives the corresponding optimal abort decisions.
Abstract: The mission abort is an effective action to reduce the risk of casualties and enhance the survivability of mission-based systems such as aircrafts, submarines, and unmanned aerial vehicles (UAVs). A main task in real operations is to strive for balance between the mission reliability and the system survivability via elaborate mission abort plans. In this paper, we design the optimal mission abort policies based on the information of early-warning signals, which indicates the possible forthcoming fatal malfunction. Depending on the acquisition time of such information, the operator may immediately abort the mission, or ignore the information and continue the task. Within the framework of a constant mission duration, we carry out an economic analysis for the above problem. The optimal abort decision that minimizes the expected total economic loss is investigated. We further extend the proposed model to the scenario of a random mission duration and derive the corresponding optimal abort decisions. A case study on a UAV executing power-grid inspection missions is used to illustrate the applicability of the abort policies.

80 citations


Cites background from "Stochastic Modeling for Reliability..."

  • ...ing the expected total economic loss model that combines the cost of both the mission failure and the system malfunction [6], [14]–[16]....

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Journal ArticleDOI
TL;DR: This article considers a policy when a mission is aborted and a rescue procedure is activated upon occurrence of the mth shock, and demonstrates the tradeoff between the system survivability and the mission success probability that should be balanced by the proper choice of the decision variable m.
Abstract: Many real-world critical systems, e.g., aircrafts, manned space flight systems, and submarines, utilize mission aborts to enhance their survivability. Specifically, a mission can be aborted when a certain malfunction condition is met and a rescue or recovery procedure is then initiated. For systems exposed to external impacts, the malfunctions are often caused by the consequences of these impacts. Traditional system reliability models typically cannot address a possibility of mission aborts. Therefore, in this article, we first develop the corresponding methodology for modeling and evaluation of the mission success probability and survivability of systems experiencing both internal failures and external shocks. We consider a policy when a mission is aborted and a rescue procedure is activated upon occurrence of the mth shock. We demonstrate the tradeoff between the system survivability and the mission success probability that should be balanced by the proper choice of the decision variable m. A detailed illustrative example of a mission performed by an unmanned aerial vehicle is presented.

68 citations