Abstract:In many physical systems, reliability evaluation, such as ones encountered in telecommunications, the design of integrated circuits, microwave relay stations, oil pipeline systems, vacuum systems in accelerators, computer ring networks, and spacecraft relay stations, have had applied consecutive k-out-of-n system models. These systems are characterized as logical connections among the components of the systems placed in lines or circles. In literature, a great deal of attention has been paid to the study of the reliability evaluation of consecutive kout-of-n systems. In this paper, we propose a new method to compute the reliability of consecutive k-out-of-n:F systems, with n linearly and circularly arranged components. The proposed method provides a simple way for determining the system failure probability. Also, we write R-Project codes based on our proposed method to compute the reliability of the linear and circular systems which have a great number of components.

Multi-state systems have been found to be more flexible tool than binary systems for modeling engineering systems. In literature, much attention has been paid to multi-state system modeling. El-Neweihi et al. [14] provided axioms extending the standard notion of a coherent system to the new notion of a multistate coherent system. For such systems they obtained deterministic and probabilistic properties for system performance which are analogous to well-known results for coherent system reliability. Hudson and Kapur [19] presented some models and their applications, in terms of reliability analyses, to situations where the system and all its components have a multiple states. Ebrahimi [11] proposed two types of multistate coherent system and presented various properties related to them. Brunella and Kapur [7] studied a series of reliability measures and expanded their definitions to be consisted with binary, multistate and continuum models. Kuo and Zuo [22] focused on multistate system reliability models and introduced several special multistate system reliability models. Eryılmaz [15] studied mean residual and mean past lifetime concepts for multistate systems. Also, for more details about multi-state system model one can see Andrzejczak [2] and [3].For reliability analysis, stress-strength models are of special importance. In the simplest terms, stress-strength model can be described as an assessment of the reliability of the component in terms of X and Y random variables where X is the random "stress" experienced by the Gökdere G, GürcAn M. new reliability score for component strength using kullback-leibler divergence. eksploatacja i niezawodnosc - Maintenance and reliability 2016; 18 (3): 367-372, http://dx.doi.org/10.17531/ein.2016.3.7. IntroductionAll technical systems have been designed to perform their intended tasks in a specific ambient. Some systems can perform their tasks in a variety of distinctive levels. A system that can have a finite number of performance rates is called a multi-state system. Generally multi-state system is consisted of components that they also can be multi-state. The performance rates of components can also vary as a result of their deterioration or in consequence of variable environmental conditions. Components failure can lead to the degradation of the entire multi-state system performance. The performance rates of the components can range from perfect functioning up to complete failure. The quality of the system is completely determined by components.In some cases, the status of the system depends on the effect of several stresses which cause degradation. The system may not fail fully, but can degrade and there may exist several states of the system. This situation corresponds to multistate systems. For an excellent review of multistate system we refer to Andrzejczak [1]. Indeed, a binary system is the simplest case of a multi-state system having two distinguished states; perfect functioning and completely failure. In a binary system, the definition domains of the stat...

All technical systems have been designed to perform their intended tasks in a specific ambient. Some systems can perform their tasks in a variety of distinctive levels. A system that can have a finite number of performance rates is called a multi-state system. Generally multi-state system is consisted of components that they also can be multi-state. The performance rates of components constituting a system can also vary as a result of their deterioration or in consequence of variable environmental conditions. Components failures can lead to the degradation of the entire multi-state system performance. The performance rates of the components can range from perfect functioning up to complete failure. The quality of the system is completely determined by components. In this article, a possible state for the single component system, where component is subject to two stresses, is considered under stress-strength model which makes the component multi-state. The probabilities of component are studied when strength of the component is Erlang random variables and the stresses are independent exponential random variables. Also, the probabilities of component are considered when the stresses are dependent exponential random variables.

Operation principle of the engineering systems occupies an important role in the reliability theory. In most of the studies, the reliability function of the system is obtained analytically according to the structure of the system. Also in such studies the mean operating time of the system is calculated. However, the reliability function of some systems, such as repairable system, cannot be easily obtained analytically. In this case, forming Laplace-Stieltjes transform of the system can provide a solution to the problem. In this paper, we have designed a system which consists of two components that can be repairable with the aging property. Firstly, the Laplace-Stieltjes transform of the system is formed. Later, the mean operating time of the system is calculated by means of Laplace-Stieltjes transform. The system's repair policy is evaluated depending on the geometric process. This property provides the aging of the system. We also provide special systems with different marginal lifetime distributions to illustrate the theoretical results in this study.

In engineering applications, analyzing a technical system vary according to the operating principles of the system. In some situations, the status of the system is a function of stresses which act on the system and cause degradation. In order to efficiently analysis the reliability of a system which operates under stress, assigning the various states to the components depending on their operating performance is very important. In this paper, we have investigated the linear consecutive k-out-of-n: F system and assigned multiple states to its components. Due to the reason, the operating performance of the components can easily be controlled. Apart from that the reliability of the system depending on the states of its components can be calculated at any time interval. In the numerical example, the states of the components and the reliability calculation of the system at specific time intervals are shown clearly.