A wind farm is a collection of wind turbines built in an area to provide electricity. Wind power is a renewable energy resource and an alternative to non-renewable fossil fuels. In this paper impact of wind farms in power system reliability is investigate and a new procedure for reliability assessment of wind farms in HL1 level is proposed. In proposed procedure, application of Fuzzy – Markov f...

in this paper, absorbing markov chain models are developed to determine the optimum process mean levels for both a single-stage and a serial two-stage production system in which items are inspected for conformity with their specification limits. when the value of the quality characteristic of an item falls below a lower limit, the item is scrapped. if it falls above an upper limit, the item is ...

In this paper, we obtain the Rényi entropy rate for irreducible-aperiodic Markov chains with countable state space, using the theory of countable nonnegative matrices. We also obtain the bound for the rate of Rényi entropy of an irreducible Markov chain. Finally, we show that the bound for the Rényi entropy rate is the Shannon entropy rate.

BACKGROUND The length of time between two successive live births (birth interval), is associated with child survival in the developing world. Short birth intervals (<24 months) contribute to infant and child mortality risks. Contraceptive use contributes to a reduction in short birth intervals, but evidence is lacking in the DRC. We aimed to investigate the proportion of short birth intervals a...

By generating the specifics of a network structure only when needed (on-the-fly), we derive a simple stochastic process that exactly models the time evolution of susceptible-infectious dynamics on finite-size networks. The small number of dynamical variables of this birth-death Markov process greatly simplifies analytical calculations. We show how a dual analytical description, treating large s...

3 2.3. The embedded discrete-time Hawkes process 5 2.4. Drift of a discrete-time Markov process 6 2.5. A digression on stochastic stability 7 3. Auxiliary Results 8 3.1. V−uniform ergodicity of the intensity of a Hawkes process 8 3.2. V−uniform ergodicity of the intensity of a multivariate Hawkes process 10 3.3. V-uniform ergodicity of a " birth-death " Hawkes process 13 4. Application to order...

In this manuscript, we portray the composition and availability analysis of leaf spring. wheeled vehicles for suspension, an elementary form spring i.e. is usually utilized. Particularly in industrial vehicles, Leaf springs are one widely recognized suspension segments they frequently used. A method presented that tests each part involved system as well a whole. Besides, demonstrates optimizati...

We consider probability mass functions V supported on the positive integers using arguments introduced by Caputo, Dai Pra and Posta, based on a Bakry–Émery condition for a Markov birth and death operator with invariant measure V . Under this condition, we prove a new modified logarithmic Sobolev inequality, generalizing and strengthening results of Wu, Bobkov and Ledoux, and Caputo, Dai Pra and...

We take on a Random Matrix theory viewpoint to study the spectrum of certain reversible Markov chains in random environment. As the number of states tends to infinity, we consider the global behavior of the spectrum, and the local behavior at the edge, including the so called spectral gap. Results are obtained for two simple models with distinct limiting features. The first model is built on th...

To develop an understanding of cancer evolution and its implications, e.g. for therapy, we examine some simple models of mutation and population growth. This is based on branching processes, Markov processes (either discrete or continuous time) that describe probabilistic growth processes. A key assumption is that cells are independent, i.e. birth and death rates are independent of population s...