Availability analysis for general repairable systems with repair time threshold

Availability analysis is an important issue in many practical fields. This paper investigates the availability for general repairable systems with repair time threshold. Based on practical applications, a repair time threshold is introduced. If the period of a repair is less than a predefined time threshold, then the system may be considered as working during this period, i.e., the effect of the repair could be neglected. Otherwise, if the period of a repair is longer than the given threshold, then the system is considered as working from the beginning of the system failure until the repair time exceeding the threshold, i.e., the time point of the system down could be delayed. We consider both constant and random repair time threshold. This paper valuates the user-perceived availability, when the user does not experience any service interruption because the duration of repair is too short. The results can be applied in reliability engineering, queueing theory and many other fields. A numerical example for ventilator system is presented to demonstrate the application of the developed approach.     

On a redundant repairable system with switching failure: Bayesian approach

System characteristics of a redundant repairable system are studied from a Bayesian viewpoint with different types of priors assumed for the unknown parameters. The system consists of two primary units, one standby unit, and one repair facility which is activated when switching to standby fails. Times to failure and times to repair of the operating units are assumed to follow exponential distributions. When time to failure and time to repair have uncertain parameters, a Bayesian approach is adopted to evaluate system characteristics. Monte Carlo simulation is used to derive the posterior distribution for the mean time to system failure and steady-state availability. Some numerical experiments are performed to illustrate the results derived in this paper.     

按收入比例还款型助学贷款探微

20世纪50年代就已提出的,作为助学贷款两种基本类型之一的按收入比例还款型助学贷款,以其普遍可获得性、还贷的确定性、提高教育参与率、管理的方便等优点而备受教育学界的青睐。本文基于高等教育财政收费制度的基础上,系统的阐述了按收入比例还款型助学贷款目前实施的成效及存在的问题。     

The Optimal Preventive Maintenance Policy for the Multistate System Profit

Here, the problem of preventive maintenance optimization for the multistate system is investigated considering a three-state system. The optimal numbers of preventive maintenance that maximize the expected profit values of this system are evaluated and these numbers are then used to increase the three-state system availability.     

An alternative approach to reliability analysis of cold standby systems

ABSTRACT

An alternative approach is applied for reliability analysis of standby systems on the basis of matrix renewal function. In this regard, a single-server, two identical unit cold standby systems with an imperfect switch is considered as a three-state semi-Markov process. Several important reliability measures such as availability, mean time to failure, expected number of failures, etc., are obtained for general lifetime distributions. Also, the main results have been treated to the case of exponential lifetimes and explicit formulas obtained for this case in addition of some numerical illustrations. This approach can easily be extended to more general standby systems with different configurations.     

Risk Perception and Movies: A Study of Availability as a Factor in Risk Perception

Media effects on risk perception have often been explained by Tversky and Kahneman's availability principle, but research has not consistently supported it. What seem like media effects based on availability may be effects of new information. In an experimental study, entertainment movies depicting dramatic risk events were shown. They were found to produce no average effects on perceived risks in spite of large mood effects and being perceived as credible. We found, however, evidence of idiosyncratic effects of the movies, that is, people reacted immediately after the movies with enhanced  or  diminished risk beliefs. These reactions had faded after 10 days. Implications for the availability heuristic and risk perception are discussed.     

Proportional Hazards in Information Security

Nonparametric methods can be used to analyze failure times and estimate probability distributions for failures of systems due to successful attacks on confidentiality, integrity, and availability in information security. However, such methods do not take full advantage of supplemental information regarding the configurations of systems in an information infrastructure that is usually also available. One approach, which does take advantage of such information, views the risks of systems failing from various causes as competing risks and determines the correlation coefficients of different treatments to system longevity. Since the times and causes of failure in such studies are usually uncorrelated, the hazards associated with each risk are proportional. By correlating system survival times to the use of specific design enhancements and security countermeasures, as well as to system exposure based on choice of operational functionality, guidance can be obtained for making investments in information security.     

Simple bounds on availability in a model with unknown life and repair distributions

We take a fresh look at the classic model of a device supported by a single statistically identical spare and provision for repairs, with system failure resulting whenever the currently operating unit fails before the repair of the previously failed unit is completed to allow it to become a spare. The limiting availability A(F,G) of this system depends on the life distribution F and repair time distribution G through α=∫GdF and the expected downtime. In this paper we derive several computable and sharp bounds on A(F,G) when F,G have suitable life distribution characteristics in the sense of reliability theory but are otherwise unknown except for at most two moments. Among other results, we find a sharp bound which involves the MTBF, MTTR and the second moment of the life-distribution of the device through its coefficient of variation. This leads to a maximin result for DFR repairs and DMRL lives.     

ASYMPTOTIC PROPERTIES FOR MAXIMUM LIKELIHOOD ESTIMATORS FOR RELIABILITY AND FAILURE RATES OF MARKOV CHAINS

ABSTRACT

In this paper, we shall study a homogeneous ergodic, finite state, Markov chain with unknown transition probability matrix. Starting from the well known maximum likelihood estimator of transition probability matrix, we define estimators of reliability and its measurements. Our aim is to show that these estimators are uniformly strongly consistent and converge in distribution to normal random variables. The construction of the confidence intervals for availability, reliability, and failure rates are also given. Finally we shall give a numerical example for illustration and comparing our results with the usual empirical estimator results.