In this article, a cold standby repairable system consisting of two nonidentical components and one repairman is studied. It is assumed that component 2 after a repair is "as good as new" while component 1 after a repair is not, but component 1 is given ...

A renewal process with waiting time being the life span of a product is widely used as a statistical model in the analysis of product failures. The renewal function is often the expected number of warranty services for the product. This paper proposes ...

Tails of distributions having the form of the geometric convolution are considered. In the case of light-tailed summands, a simple proof of the famous Cramér asymptotic formula is given via the change of probability measure. Some ...

This paper firstly analyzes two movement detection schemes-eager cell switching scheme and lazy cell switching scheme. Then, aiming at their drawbacks, two improved solutions-region adjustment algorithm and improved region adjustment algorithm are proposed. ...

This paper considers a renewal process in which the interarrival times and rewards are characterized as fuzzy variables. A fuzzy elementary renewal theorem shows that the expected number of renewals per unit time is just the expected reciprocal of the ...

According to the diffusion approximation and usual approximation scheme, we present two more biologically plausible so called second order spiking perceptron (SOSP) and extended second order spiking perceptron (ESOSP) based on the integrate-and-fire ...

So far, there have been several concepts about fuzzy random variables and their expected values in literature. One of the concepts defined by Liu and Liu (2003a) is that the fuzzy random variable is a measurable function from a probability space to a ...

This note presents a rigorous proof of the fact that in a renewal process, the interarrival interval containing a specific time point is stochastically larger than a "typical" interarrival interval in the process. The key of the proof is a very useful ...

This article studies a series repairable system consisting of two non-identical components and one repairer. It is assumed that each component after repair in the system is not ''as good as new''. Under this assumption, by using a geometric process repair ...

This study investigates optimal policies for determining price and warranty length when free replacement of defective items is the business policy and the demand is dependent on price, warranty, and cumulative sales. We apply optimal control theory to ...

Availability analysis is an important issue in robotic swarm systems. It can help the designer to construct a cost-effective system with high availability and fewer resources. For the model and analysis to be fully specified and practical, this paper ...

The purpose of this paper is to introduce a fuzzy random delayed renewal process in which the interarrival times between two events are characterized as fuzzy random variables. The general properties of the process are discussed. In addition, the definition ...

A stochastic successive approximation method is analyzed with a view to solving risk assessment problems that are reduced to a renewal integral equation and, in particular, to assessing the insolvency risk of an insurance company. Integrals in the equation ...

The first objective of this paper is to derive the total cost for one of the most commonly used continuous sampling plans in industry. The total cost includes the costs of inspection, reworks, and defective items returned by the customers. The continuous ...

The main focus of this study is on the modelling of the warranty claims and evaluating the warranty expenses. The cost of each warranty claim depends on the non-zero length of the repair time. Alternating renewal process is employed to model the operating ...

In this paper, we consider a synchronization queue (or synchronization node) consisting of two buffers with finite capacities. One stream of tokens arriving at the system forms a Poisson process and the other forms a PH-renewal process. ...