Vacation Policy for k-out-of-n Redundant System with Reboot Delay [PDF]
Redundancy is a well-known concept for system resilience; k-out-of-n redundancy stipulates that a minimum number of functional components must be present for the system to function.
Vaishali Tyagi +3 more
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On the stochastic mechanics of the free relativistic particle
Given a positive energy solution of the Klein-Gordon equation, the motion of the free, spinless, relativistic particle is described in a fixed Lorentz frame by a Markov diffusion process with non-constant diffusion coefficient.
Carlen E. +9 more
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RELIABILITY ANALYSIS OF COMPUTER NETWORKS USING PARAMETRIC FAILURE CRITERIA
A mathematical model, which allows to obtain expressions for the determination of parameters of reliability of computer ne t w o rks co n sis t i n g o f i den t i c al recoverable elements.
Oleg A. Tkachev
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Exact finite approximations of average-cost countable Markov Decision Processes [PDF]
For a countable-state Markov decision process we introduce an embedding which produces a finite-state Markov decision process. The finite-state embedded process has the same optimal cost, and moreover, it has the same dynamics as the original process ...
Leizarowitz, Arie, Shwartz, Adam
core
Right Markov processes and systems of semilinear equations with measure data
In the paper we prove the existence of probabilistic solutions to systems of the form $-Au=F(x,u)+\mu$, where $F$ satisfies a generalized sign condition and $\mu$ is a smooth measure.
Klimsiak, Tomasz
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Sharper Model-free Reinforcement Learning for Average-reward Markov Decision Processes [PDF]
Zihan Zhang, Qiaomin Xie
openalex +1 more source
Self-similar scaling limits of non-increasing Markov chains
We study scaling limits of non-increasing Markov chains with values in the set of non-negative integers, under the assumption that the large jump events are rare and happen at rates that behave like a negative power of the current state. We show that the
Haas, Bénédicte, Miermont, Grégory
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Investigation of insertion tableau evolution in the Robinson-Schensted-Knuth correspondence
Robinson-Schensted-Knuth (RSK) correspondence occurs in different contexts of algebra and combinatorics. Recently, this topic has been actively investigated by many researchers.
Vasilii S. Duzhin
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CHARACTERISTICS OF A RANDOM PROCESS IN PROBLEMS OF COMPUTER MODELING AND ENTROPY ANALYSIS OF SYSTEMS
Background. The present time is characterized by the intensive development of the means of informatization of society, the widespread introduction of digital systems and computer technologies with support for managerial decision-making.
A.V. Poltavskiy +2 more
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A Novel System Reliability Modeling of Hardware, Software, and Interactions of Hardware and Software
In the past few decades, a great number of hardware and software reliability models have been proposed to address hardware failures in hardware subsystems and software failures in software subsystems, respectively.
Mengmeng Zhu, Hoang Pham
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