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Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains
Mathematics, 2020 This paper is largely a review. It considers two main methods used to study stability and to obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Markov chains with continuous time and a finite or countable state space.
Alexander Zeifman +2 more
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On the rate of convergence for a class of Markovian queues with group services
Discrete and Continuous Models and Applied Computational Science, 2020 There are many queuing systems that accept single arrivals, accumulate them and service only as a group. Examples of such systems exist in various areas of human life, from traffic of transport to processing requests on a computer network. Therefore, our
Anastasia L. Kryukova
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Population processes in cyber system variability.
PLoS ONE, 2022 Variability is inherent to cyber systems. Here, we introduce ideas from stochastic population biology to describe the properties of two broad kinds of cyber systems. First, we assume that each of N0 components can be in only one of two states: functional
Marc Mangel, Alan Brown
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On three methods for bounding the rate of convergence for some continuous–time Markov chains
International Journal of Applied Mathematics and Computer Science, 2020 Consideration is given to three different analytical methods for the computation of upper bounds for the rate of convergence to the limiting regime of one specific class of (in)homogeneous continuous-time Markov chains.
Zeifman Alexander +5 more
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On Probability Characteristics for a Class of Queueing Models with Impatient Customers
Mathematics, 2020 In this paper, a class of queueing models with impatient customers is considered. It deals with the probability characteristics of an individual customer in a non-stationary Markovian queue with impatient customers, the stationary analogue of which was ...
Yacov Satin +4 more
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A Novel Real-Time Filtering Method to General Nonlinear Filtering Problem Without Memory
IEEE Access, 2021 In this paper, the filtering problem for the general time-invariant nonlinear state-observation system is considered. Our work is based on the Yau-Yau filtering framework developed by S.-T. Yau and the third author in 2008.
Ji Shi +2 more
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The Master Equation for Large Population Equilibriums [PDF]
, 2014 We use a simple N-player stochastic game with idiosyncratic and common noises to introduce the concept of Master Equation originally proposed by Lions in his lectures at the Coll\`ege de France.
D Nualart +10 more
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Investigations of the Potential Application of k-out-of-n Systems in Oil and Gas Industry Objects
Journal of Marine Science and Engineering, 2020 The purpose of this paper was to demonstrate the possibilities of assessing the reliability of oil and gas industry structures with the help of mathematical models of k-out-of-n systems.
Vladimir V. Rykov +2 more
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Developing a drought-monitoring index for the contiguous US using SMAP [PDF]
Hydrology and Earth System Sciences, 2018 Since April 2015, NASA's Soil Moisture Active Passive (SMAP) mission has monitored near-surface soil moisture, mapping the globe (between 85.044∘ N/S) using an L-band (1.4 GHz) microwave radiometer in 2–3 days depending on location.
S. Sadri, E. F. Wood, M. Pan
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