due to the effective role of markov models in customer relationship management (crm), there is a lack of comprehensive literature review which contains all related literatures. in this paper the focus is on academic databases to find all the articles that had been published in 2011 and earlier. one hundred articles were identified and reviewed to find direct relevance for applying markov models...

In the IEEE 802.11MAC layer protocol, the basic access method is the Distributed Coordination Function which is based on the CSMA/CA. In this paper, we investigate the performance of IEEE 802.11 DCF in the non-saturation condition. We assume that there is a fixed number n of competing stations and packet arrival process to a station is a poisson process. We model IEEE 802.11 DCF in non-saturati...

Growing amount of information on biological sequences has made application of statistical approaches necessary for modeling and estimation of their functions. In this paper, sensitivity and specificity of the first and second Markov chains for prediction of genes was evaluated using the complete double stranded  DNA virus. There were two approaches for prediction of each Markov Model parameter,...

  In this paper Semi-Markov models are used to forecast the triple dimensions of next earthquake occurrences. Each earthquake can be investigated in three dimensions including temporal, spatial and magnitude. Semi-Markov models can be used for earthquake forecasting in each arbitrary area and each area can be divided into several zones. In Semi-Markov models each zone can be considered as a sta...

We consider the problem of sampling a proper k-coloring of a graph of maximal degree ∆ uniformly at random. We describe a new Markov chain for sampling colorings, and show that it mixes rapidly on graphs of logarithmically bounded pathwidth if k ≥ (1+ )∆, for any > 0, using a new hybrid paths argument. ∗California Institute of Technology, Pasadena, CA, 91125, USA. E-mail: [email protected].

We present a population density and moment-based description of the stochastic dynamics of domain Ca-mediated inactivation of L-type Ca channels. Our approach accounts for the effect of heterogeneity of local Ca signals on whole cell Ca currents; however, in contrast with prior work, e.g., Sherman et al. (1990), we do not assume that Ca domain formation and collapse are fast compared to channel...

We consider a complex system composed of many non-identical parts where (i) the dynamics of each part are Ornstein–Uhlenbeck; (ii) all parts are driven by a common external Lévy noise; and (iii) the system’s collective output is the averaged aggregate of the outputs of its parts. Whereas the dynamics on the ‘microscopic’ parts-level are Markov, the dynamics on the ‘macroscopic’ system-level are...

Objective. The aim of the study is to develop a mathematical model for assessing stability functioning an informatization object (IO) in conditions computer attacks (CA), assuming that laws distribution random variables before enemy's impact and recovery time are distributed exponentially. Method. Application method discrete Markov processes solve problem IO, which differs from known approaches...