Failure distributions of components and assemblies are commonly approximated by analytical functions, e.g. by exponential or Weibull distributions. The advantages of this approach are its simplicity and the staightforwardness of the calculations. Another possibility is to describe failure distributions by means of Markov or semiMarkov chains, however several constraints are thereby introduced. ...

A major issue of locally repairable codes is their robustness. If a local repair group is not able to perform the repair process, this will result in increasing the repair cost. Therefore, it is critical for a locally repairable code to have multiple repair groups. In this paper we consider robust locally repairable coding schemes which guarantee that there exist multiple alternative local repa...

Locally repairable codes are desirable for distributed storage systems to improve the repair efficiency. In this paper, we first build a bridge between locally repairable code and packing. As an application of this bridge, some optimal locally repairable codes can be obtained by packings, which gives optimal locally repairable codes with flexible parameters. Index Terms Distributed storage, loc...

Kijima and Sumita have proposed a stochastic model called the generalized renewal process (GRP) to describe the availability characteristics of repairable systems by introducing the notion of the virtual age of the system. Yanez et al. offer maximum likelihood estimation (MLE) approach for estimating parameters of the GRP models. Due to the complexity of the equations, a close solution is not a...

Problem statement: Many authors have studied k-out of-n repairable system with dependent failure and standby support. The question was raised whether the repair and standby units support increase the reliability of the system. Determine the efficiency of repair and standby support on the reliability of the system. Approach: In this study the statistical analysis of k-out of-n repairable system ...

Systems often operate over a set of time periods, known as phases, in which their reliability structure varies and many include both repairable and nonrepairable components. Success for such systems is defined as the completion of all phases, known as a phased mission, without failure. An example of such a system is an aircraft landing gear system during a flight. The Binary Decision Diagram (B...

Recently, locally repairable codes has gained significant interest for their potential applications in distributed storage systems. However, most constructions in existence are over fields with size that grows with the number of servers, which makes the systems computationally expensive and difficult to maintain. Here, we study linear locally repairable codes over the binary field, tolerating m...

This paper presents a decomposition technique for the service station reliability in a discrete-time repairable Geom/G/1 queueing system, in which the server takes exhaustive service and multiple adaptive delayed vacation discipline. Using such a novel analytic technique, some important reliability indices and reliability relation equations of the service station are derived. Furthermore, the s...

This paper describes the use of the mean cumulative function (MCF) and linear estimates based on the recurrence rate to predict the expected number of failures in the future. Reliability data from two repairable units are used to verify the procedure and comparison. The empirical data used in the paper is based on field data gathered during the operational life of the Swedish military aircraft ...