In this paper, for the load-sharing k-out-of-n:G systems, the repair time distribution of each component is arbitrary distributed due to repair mechanisms. This assumption is more valuable than constant repair time assumption in realistic applications. On the other hand, for the repairable load-sharing k-out-of-n: G configuration, Markov chain where the states represent the number failed components in the system is proposed with strictest assumption. Comparing with Markovian models, the flowgraph model provides a new computational way to the reliability evaluation of load-sharing k-out-of-n: G system based on moment generating functions (MGFs). By linking covariates into branch transition, MGF of the system failure are evaluated under different combination of covariates levels so that presence of external events can be described in a quantitative way. Additionally, in the proposed model, during repair process of failed components, the surviving components can fail. As shown in the challenging example, the number of path and loops increases exponentially with the number of components in the system. Advanced methodologies need to be exploited in the future work.
Recent improvements in the optical interconnection technology allow creation of interconnection networks that are larger, faster, and more power efficient than ever before. In this paper, characteristics and limitations of optical multistage interconnection networks (MIN) will be discussed. Then, an implementation of optical MIN for shuffle-exchange network will be presented, including its parameters such as connectivity, network complexity, signal path length, and total number of waveguide crossings. Shuffle-exchange network has been widely considered as a practical interconnection system due to the size of its switching elements and uncomplicated configuration. The reliability evaluation of shuffle-exchange network is demonstrated through a numerical example.
In the era of big data, analysis of complex and huge data expends time and money, may cause errors and misinterpretations. Consequently, inaccurate and erroneous reasoning could lead to poor inference and decision making, sometimes irreversible and catastrophic events. On the other hand, proper management and utilization of valuable data could significantly increase knowledge and reduce cost by preventive actions. In this field, time-to-event and survival data analysis is a kernel of risk assessment and have an inevitable role in predicting the probability of many events occurrence such as failure of a device or component. Thus, in the presence of large-scale, massive and complex data, specifically in terms of variables, applying proper methods to efficiently simplify such data before any analysis process is desired. In this paper we propose an applied data reduction approach which enables us to obtain appropriate variable selection in high dimensional and large-scale data in order to avoid aforementioned difficulties in decision making and facilitate survival data and failure analysis. This paper present applied data reduction and variable selection approach for risk assessment and decision making in complex large-scale survival data analysis.
A model for a system with several types of units is presented. A unit is replaced at failure or when its hazard (failure) rate exceeds limit L, whichever occurs first. When a unit is replaced because its hazard rates reaches L, all the operating units with their hazard rate falling in the interval (L-u,L) are replaced. This policy allows joint replacements and avoids the disadvantages resulting from the replacement of new units, down time, and unrealistic assumptions for distributions of unit life. The long-run cost rate is derived. Optimal L and u are obtained to minimize the average total replacement cost rate. Application and analysis of results are demonstrated through a numerical example.< >
The Proportional Hazard Model (PHM) is very flexible to incorporate categorical and continuous variables to the survival analysis. The model can be used to assess the risk of a set of covariates with immediate application for repeated events with multiple failure modes in many electromechanical appliances. The major advantage of not requiring a parametric equation is subjected to some challenges for a direct estimation of the survival curve, as the model is developed in terms of the hazard function. Hazards models can be easily used when operating conditions or consumer usage pattern are to be assessed, such as the experiment used in this research.