Relevant bibliographies by topics / STEADY STATE PROBABILITY

Academic literature on the topic 'STEADY STATE PROBABILITY'

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Published: 11 September 2023

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Journal articles on the topic "STEADY STATE PROBABILITY"

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Murphy, Ryan H. "Steady state economic freedom." Economics and Business Letters 12, no. 2 (July 13, 2023): 132–36. http://dx.doi.org/10.17811/ebl.12.2.2023.132-136.

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This note projects forward into the distant future the number of countries existing under regimes of different levels of economic liberalism by deriving a transition probability matrix from Economic Freedom of the World data. Naively extrapolating trends from 1970-2020 suggests a modest majority of 165 countries will be economically free in the long-run steady state, with results driven by improvements in variables associated with the freedom to trade internationally and especially the quality of the legal system and property rights.
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Gotoh, Toshiyuki. "Probability density functions in steady-state Burgers turbulence." Physics of Fluids 11, no. 8 (August 1999): 2143–48. http://dx.doi.org/10.1063/1.870106.

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MADAN, DILIP B., MARTIJN PISTORIUS, and WIM SCHOUTENS. "CONIC TRADING IN A MARKOVIAN STEADY STATE." International Journal of Theoretical and Applied Finance 20, no. 02 (March 2017): 1750010. http://dx.doi.org/10.1142/s0219024917500108.

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Trading strategies are valued using nonlinear conditional expectations based on concave probability distortions. They are also referred to as expectation with respect to a nonadditive probability. The nonadditive probability attains conservatism by exaggerating upwards the probabilities of tail loss events and simultaneously deflating the probabilities of tail gain events. Fixed points for value and policy iterations are obtained when probabilities are distorted and they fail to exist for classical linear or additive expectations. Illustrations are provided for Markovian systems in one, two and five dimensions. Trading positions are seen to balance prediction rewards against the demands for hedging value functions.
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Chełminiak, Przemysław, and Michał Kurzyński. "Steady-state distributions of probability fluxes on complex networks." Physica A: Statistical Mechanics and its Applications 468 (February 2017): 540–51. http://dx.doi.org/10.1016/j.physa.2016.10.070.

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Samawi, Hani M., Martin Dunbar, and Ding-Geng (Din) Chen. "Steady-state ranked Gibbs sampler." Journal of Statistical Computation and Simulation 82, no. 8 (August 2012): 1223–38. http://dx.doi.org/10.1080/00949655.2011.575378.

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Noh, Jae Dong, and Joongul Lee. "On the steady-state probability distribution of nonequilibrium stochastic systems." Journal of the Korean Physical Society 66, no. 4 (February 2015): 544–52. http://dx.doi.org/10.3938/jkps.66.544.

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ZHANG Jian-ye, 张建业, and 朴. 燕. PIAO Yan. "Stereo matching algorithm based on improved steady-state matching probability." Chinese Journal of Liquid Crystals and Displays 33, no. 4 (2018): 357–64. http://dx.doi.org/10.3788/yjyxs20183304.0357.

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Arizono, I., and A. Yamamoto. "A simplified graphical method for deriving system steady-state probability." IEEE Transactions on Reliability 42, no. 2 (June 1993): 307–13. http://dx.doi.org/10.1109/24.229507.

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Carlevaro, Carlos M., and Luis A. Pugnaloni. "Steady state of tapped granular polygons." Journal of Statistical Mechanics: Theory and Experiment 2011, no. 01 (January 6, 2011): P01007. http://dx.doi.org/10.1088/1742-5468/2011/01/p01007.

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LIM, JAE-HAK, SANG WOOK SHIN, DAE KYUNG KIM, and DONG HO PARK. "BOOTSTRAP CONFIDENCE INTERVALS FOR STEADY-STATE AVAILABILITY." Asia-Pacific Journal of Operational Research 21, no. 03 (September 2004): 407–19. http://dx.doi.org/10.1142/s021759590400031x.

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Steady-state availability, denoted by A, has been widely used as a measure to evaluate the reliability of a repairable system. In this paper, we develop new confidence intervals for steady-state availability based on four bootstrap methods; standard bootstrap confidence interval, percentile bootstrap confidence interval, bootstrap-t confidence interval, and bias-corrected and accelerated confidence interval. We also investigate the accuracy of these bootstrap confidence intervals by calculating the coverage probability and the average length of intervals.
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Dissertations / Theses on the topic "STEADY STATE PROBABILITY"

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Eickhoff, Mirko. "Sequential Analysis of Quantiles and Probability Distributions by Replicated Simulations." Thesis, University of Canterbury. Computer Science and Software Engineering, 2007. http://hdl.handle.net/10092/1238.

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Discrete event simulation is well known to be a powerful approach to investigate behaviour of complex dynamic stochastic systems, especially when the system is analytically not tractable. The estimation of mean values has traditionally been the main goal of simulation output analysis, even though it provides limited information about the analysed system's performance. Because of its complexity, quantile analysis is not as frequently applied, despite its ability to provide much deeper insights into the system of interest. A set of quantiles can be used to approximate a cumulative distribution function, providing fuller information about a given performance characteristic of the simulated system. This thesis employs the distributed computing power of multiple computers by proposing new methods for sequential and automated analysis of quantile-based performance measures of such dynamic systems. These new methods estimate steady state quantiles based on replicating simulations on clusters of workstations as simulation engines. A general contribution to the problem of the length of the initial transient is made by considering steady state in terms of the underlying probability distribution. Our research focuses on sequential and automated methods to guarantee a satisfactory level of confidence of the final results. The correctness of the proposed methods has been exhaustively studied by means of sequential coverage analysis. Quantile estimates are used to investigate underlying probability distributions. We demonstrate that synchronous replications greatly assist this kind of analysis.
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KHARCHEVA, Anna. "Anomalous diffusion and nonlinear relaxation phenomena in stochastic models of interdisciplinary physics." Doctoral thesis, Università degli Studi di Palermo, 2020. http://hdl.handle.net/10447/430665.

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The study of nonlinear dynamical systems in the presence of both Gaussian and non-Gaussian noise sources is the topic of this research work. In particular, after shortly present new theoretical results for statistical characteristics in the framework of Markovian theory, we analyse four different physical systems in the presence of Levy noise source. (a) The residence time problem of a particle subject to a non-Gaussian noise source in arbitrary potential profile was analyzed and the exact analytical results for the statistical characteristics of the residence time for anomalous diffusion in the form of Levy flights in fully unstable potential profile was obtained. Noise enhanced stability phenomenon was found in the system investigated. (b) The correlation time of the particle coordinate as a function of the height of potential barrier, the position of potential wells and noise intensity was investigated in the case of confined steady-state Levy flights with Levy index alpha=1, that is Cauchy noise, in the symmetric bistable quartic potential. (c) The stationary spectral characteristics of superdiffusion of Levy flights in one-dimensional confinement potential profiles were investigated both theoretically and numerically. Specifically, for Cauchy stable noise we calculated the steady-state probability density function for an infinitely deep rectangular potential well and for a symmetric steep potential well. (d) For two-dimensional diffusion the general Kolmogorov equation for the joint probability density function of particle coordinates was obtained by functional methods directly from two Langevin equations with statistically independent non-Gaussian noise sources. We compared the properties of Brownian diffusion and Levy flights in parabolic potential with radial symmetry. Afterwards, we analyzed the nonlinear relaxation in the presence of Gaussian noise for the stochastic switching dynamics of the memristors. We have studied three different models. (a) We started from consideration of the simplest model of resistive switching. (b) Further, the charge-controlled and the current-controlled ideal Chua memristors with external Gaussian noise were investigated. For both cases we have obtained exact analytical expressions for the probability density function of the charge flowing through the memristor and of the memristance. (c) Moreover, we proposed a stochastic macroscopic model of a memristor, based on a generalization of known approaches and experimental results. Steady-state concentration of defects for different boundary conditions was found. Also we analysed how the concentration of defects is changed with time under arbitrary values of external voltage, noise intensity, effective diffusion coefficient and other parameters. An examination of the results was performed, the possible implications of this work and the future development of this study were outlined.
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Azhar, Muhammad. "A Stochastic Analysis Framework for Real-Time Systems under Preemptive Priority-Driven Scheduling." Thesis, Mälardalens högskola, Akademin för innovation, design och teknik, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-13100.

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This thesis work describes how to apply the stochastic analysis framework, presented in [1] for general priority-driven periodic real-time systems. The proposed framework is applicable to compute the response time distribution, the worst-case response time, and the deadline miss probability of the task under analysis in the fixed-priority driven scheduling system. To be specific, we modeled the task execution time by using the beta distribution. Moreover, we have evaluated the existing stochastic framework on a wide range of periodic systems with the help of defined evaluation parameters. In addition we have refined the notations used in system model and also developed new mathematics in order to facilitate the understanding with the concept. We have also introduced new concepts to obtain and validate the exact probabilistic task response time distribution.    Another contribution of this thesis is that we have extended the existing system model in order to deal with stochastic release time of a job. Moreover, a new algorithm is developed and validated using our extended framework where the stochastic dependencies exist due to stochastic release time patterns.
This is Second Version of the report. Submitted after few modifications made on the order of Thomas Nolte (Thesis Examiner).
START - Stochastic Real-Time Analysis of Embedded Software Systems
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Wanduku, Divine. "Stochastic Modeling of Network-Centric Epidemiological Processes." Scholar Commons, 2012. http://scholarcommons.usf.edu/etd/4252.

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The technological changes and educational expansion have created the heterogeneity in the human species. Clearly, this heterogeneity generates a structure in the population dynamics, namely: citizen, permanent resident, visitor, and etc. Furthermore, as the heterogeneity in the population increases, the human mobility between meta-populations patches also increases. Depending on spatial scales, a meta-population patch can be decomposed into sub-patches, for examples: homes, neighborhoods, towns, etc. The dynamics of human mobility in a heterogeneous and scaled structured population is still its infancy level. We develop and investigate (1) an algorithmic two scale human mobility dynamic model for a meta-population. Moreover,the two scale human mobility dynamic model can be extended to multi-scales by applying the algorithm. The subregions and regions are interlinked via intra-and inter regional transport network systems. Under various types of growth order assumptions on the intra and interregional residence times of the residents of a sub region, different patterns of static behavior of the mobility process are studied. Furthermore, the human mobility dynamic model is applied to a two-scale population dynamic exhibiting a special real life human transportation network pattern. The static evolution of all categories of residents of a given site ( homesite, visiting sites within the region, and visiting sites in other regions) over continuous changes in the intra and inter-regional visiting times is also analyzed. The development of the two scale human mobility dynamic model provides a suitable approach to undertake the study of the non-uniform global spread of emergent infectious diseases of humans in a systematic and unified way. In view of this, we derive (2) a SIRS stochastic epidemic dynamic process in a two scale structured population. By defining a positively self invariant set for the dynamic model the stochastic asymptotic stability results of the disease free equilibrium are developed(2). Furthermore, the significance of the stability results are illustrated in a simple real life scenario that is under controlled quarantine disease strategy. In addition, the epidemic dynamic model (2) is applied to a SIR influenza epidemic in a two scale population that is under the influence of a special real life human mobility pattern. The simulated trajectories for the different states (susceptible, Infective, Removal) with respect to current location in the two-scale population structure are presented. The simulated findings reveal comparative evolution patterns for the different states and current locations over time. The SIRS stochastic epidemic dynamic model (2) is extended to a SIR delayed stochastic epidemic dynamic model(3). The delay effects in the dynamic model (3) is temporary and account for natural or infection acquired immunity conferred by the disease after disease recovery. Again, we justify the model validation as a prerequisite for the dynamic modeling. Moreover, we also exhibit the real life scenario under controlled quarantine disease strategy.In addition, the developed delayed SIR dynamic model is also applied to SIR influenza epidemic with temporary immunity to an influenza disease strain. The simulated results reveal an oscillatory effect in the trajectory of the naturally immune population. Moreover, the oscillations are more significant at the homesite. We further extended the stochastic temporary delayed epidemic dynamic model (3) into a stochastic delayed epidemic dynamic model with varying immunity period(4). The varying immunity period accounts for the varying time lengths of natural immunity against the infectious agent exhibited within the naturally immune population. Obviously, the stochastic dynamic model with varying immunity period generalizes the SIR temporary delayed dynamic.
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Oliveira, José Carlos Francisco de. "Noções de grafos dirigidos, cadeias de Markov e as buscas do Google." Universidade Federal de Sergipe, 2014. https://ri.ufs.br/handle/riufs/6482.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
This paper has as its main purpose to highlight some mathematical concepts, which are behind the ranking given by a research made on the website mostly used in the world: Google. At the beginning, we briefly approached some High School’s concepts, such as: Matrices, Linear Systems and Probability. After that, we presented some basic notions related to Directed Graphs and Markov Chains of Discrete Time. From this last one, we gave more emphasis to the Steady State Vector because it ensures foreknowledge results from long-term. These concepts are extremely important to our paper, because they will be used to explain the involvement of Mathematic behind the web search “Google”. Then, we tried to detail the ranking operation of the search pages on Google, i.e., how the results of a research are classified, determining which results are presented in a sequential way in order of relevance. Finally we obtained “PageRank”, an algorithm which creates what we call Google’s Matrices and ranks the pages of a search. We finished making a brief comment about the historical arising of the web searches, from their founders to the rise and hegemony of Google.
O presente trabalho tem como objetivo destacar alguns conceitos matemáticos que estão por trás do ranqueamento dado por uma pesquisa feita no site de busca mais usados do mundo, o “Google”. Inicialmente abordamos de forma breve alguns conteúdos da matemática do ensino médio, a exemplo de: matrizes, sistemas lineares, probabilidades. Em seguida são introduzidas noções básicas de grafos dirigidos e cadeias de Markov de tempo discreto; essa última, é dada uma ênfase ao vetor estado estacionário, por ele garantir resultados de previsão de longo prazo. Esses conceitos são de grande importância em nosso trabalho, pois serão usados para explicar o envolvimento da matemática por trás do site de buscas “Google”. Na sequência, buscamos detalhar o funcionamento do ranqueamento das páginas de uma busca no “Google”, isto é, como são classificados os resultados de uma pesquisa, determinando quais resultados serão apresentados de modo sequencial em ordem de relevância. Finalmente, chegamos na obtenção do “PageRank”, algoritmo que gera a chamada Matriz do Google e ranqueia as páginas de uma busca. Encerramos com um breve histórico do surgimento dos sites de buscas, desde os seus fundadores até a ascensão e hegemonia do Google.
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Kuo, Cheng-Han, and 郭承翰. "The probability density function of M/M/2/4 in steady state." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/tkxj53.

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碩士
國立交通大學
應用數學系所
106
In this thesis, we are interested in the states which are related to time. By system balanced diagram, we have the balanced equations and some initial conditions. Also we solve the marginal probability density functions by using the homogeneous linear system. Finally, we show that the limiting probabilities are same as Birth-Death process and compare the difference of the marginal probability density functions of M/M/2/3 and M/M/2/4.
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Yen, Tian-Bao, and 顏天保. "The Numerical Solution of Density Function and Stationary Probability in Steady State of M/G/2/3." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/x2mm82.

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碩士
國立交通大學
統計學研究所
105
By studying the sub-density of the M/G/2/3 queuing system,$f_1(s)$、$f_2(s,t)$、$f_3(s,t)$,which respectively stand for the density function of the system in a steady state when the system has 1,2,3 people and they are has been serving for s, (s ,t), (s, t) unit of time, we can find the density function of the system and other special values (e.g.stationary probability). In this study, we find the analytical solution of the M/M/2/3, the numerical solution and the approximate solution of M/G/2/3 where the approximate solution can be expressed as the linear combination of several known functions and have good efficiency and approximation. We then try to extend the algorithm to M/G/2 /K and discuss possible approaches to M/G/C/K calculations. The structure of this paper is as follows. In the first chapter, we review the similar literature and introduce the method used in this study. In chapter 2, we discuss the situation of M/M/2/3, and solve the density function and the stationary probability. The third chapter to explore the M/G/2/3 situation, and lists the numerical algorithm and approximate algorithm. The fourth chapter lists the experimental results. The fifth chapter will be extended to M/G/2/K and discuss the case of M/G/C/K. In the end, the chapter sixth is the conclusion.
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KUMAR, VARUN. "IMPROVING SYSTEM AVAILABILITY THROUGH OPPORTUNISTIC MAINTENANCE." Thesis, 2016. http://dspace.dtu.ac.in:8080/jspui/handle/repository/16106.

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Most modern systems are equipped with complex, expensive and high technology components whose maintenance costs have become an increasingly large portion of the total operating cost of these systems. Therefore, some efforts are required to reduce this cost and opportunistic maintenance is an alternate available to overcome this problem. This project deals with opportunistic maintenance modeling for availability analysis of repairable mechanical systems using Markovian approaches. The conventional techniques such as reliability block diagram, fault tree analysis and reliability graphs are of no use when there comes repairs and other dependencies. The Markovian approaches considered for modeling as it can incorporate repair and other dependency features in the model. In this work availability models are developed for a multi stage reciprocating air compressor system to see the gain due to opportunistic maintenance. Stochastic modelling and analysis are carried out using Markovian and Semi-Markovian approaches. The system availability is evaluated considering different types of repair actions, namely, perfect repair and imperfect repair.
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Ibrahim, Basil. "Queueing Analysis of a Priority-based Claim Processing System." Thesis, 2009. http://hdl.handle.net/10012/4796.

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We propose a situation in which a single employee is responsible for processing incoming claims to an insurance company that can be classified as being one of two possible types. More specifically, we consider a priority-based system having separate buffers to store high priority and low priority incoming claims. We construct a mathematical model and perform queueing analysis to evaluate the performance of this priority-based system, which incorporates the possibility of claims being redistributed, lost, or prematurely processed.
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Books on the topic "STEADY STATE PROBABILITY"

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Simon, M. Steady-state probability density function of the phase error for a DPLL with an integrate-and-dump device. Pasadena, Calif: National Aeronautics and Space Administration, Jet Propulsion Laboratory, California Institute of Technology, 1986.

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J, Mileant, and Jet Propulsion Laboratory (U.S.), eds. Steady-state probability density function of the phase error for a DPLL with an integrate-and-dump device. Pasadena, Calif: National Aeronautics and Space Administration, Jet Propulsion Laboratory, California Institute of Technology, 1986.

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Jiang, Da-Quan. Mathematical theory of nonequilibrium steady states: On the frontier of probability and dynamical systems. Berlin: Springer, 2004.

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1927-, Qian Min, and Qian Min-Ping, eds. Mathematical theory of nonequilibrium steady states: On the frontier of probability and dynamical systems. Berlin: Springer, 2004.

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Steady-state probability density function of the phase error for a DPLL with an integrate-and-dump device. Pasadena, Calif: National Aeronautics and Space Administration, Jet Propulsion Laboratory, California Institute of Technology, 1986.

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Steady-state probability density function of the phase error for a DPLL with an integrate-and-dump device. Pasadena, Calif: National Aeronautics and Space Administration, Jet Propulsion Laboratory, California Institute of Technology, 1986.

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Qian, Ming-Ping, Da-Quan Jiang, and Min Qian. Mathematical Theory of Nonequilibrium Steady States: On the Frontier of Probability and Dynamical Systems. Springer London, Limited, 2003.

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Book chapters on the topic "STEADY STATE PROBABILITY"

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Asmussen, Søren, and Peter W. Glynn. "Steady-State Simulation." In Stochastic Modelling and Applied Probability, 96–125. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-69033-9_4.

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Derrida, B., and M. R. Evans. "Exact Steady State Properties of the One Dimensional Asymmetric Exclusion Model." In Probability and Phase Transition, 1–16. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8326-8_1.

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Koh, Younsuk, and Kiseon Kim. "Evaluation of Steady-State Probability of Pareto/M/1/K Experiencing Tail-Raising Effect." In Lecture Notes in Computer Science, 561–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-45076-4_56.

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Gross, Donald, Bingchang Gu, and Richard M. Soland. "The Biconjugate Gradient Method for Obtaining the Steady-State Probability Distributions of Markovian Multiechelon Repairable Item Inventory Systems." In Numerical Solution of Markov Chains, 473–89. Boca Raton: CRC Press, 2021. http://dx.doi.org/10.1201/9781003210160-25.

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"Steady-State Probability Distribution." In Encyclopedia of Systems Biology, 1987. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4419-9863-7_101400.

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Venugopal, Deneshkumar, Senthamarai Kannan Kaliyaperumal, and Sonai Muthu Niraikulathan. "Stock Market Trend Prediction Using Hidden Markov Model." In Forecasting in Mathematics - Recent Advances, New Perspectives and Applications [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.93988.

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In Recent years many forecasting methods have been proposed and implemented for the stock market trend prediction. In this Chapter, the trend analyses of the stock market prediction are presented by using Hidden Markov Model with the one day difference in close value for a particular period. The probability values π gives the trend percentage of the stock prices which is calculated for all the observe sequence and hidden sequences. This chapter helps for decision makers to make decisions in case of uncertainty on the basis of the percentage of probability values obtained from the steady state probability distribution.
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Laxmi, P. Vijaya, Veena Goswami, and K. Jyothsna. "Performance Analysis of a Markovian Working Vacations Queue with Impatient Customers." In Advances in Business Information Systems and Analytics, 258–80. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-5958-2.ch013.

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This chapter analyzes a steady-state finite buffer M/M/1 working vacation queue wherein the customers can balk or renege. Unlike the classical vacation queues, the server can still render service to customers during the working vacations, at a different rate rather than completely terminating the service. The inter-arrival times of customers follow exponential distribution. The arriving customers either decide not to join the queue (that is, balk) with a probability or leave the queue after joining without getting served due to impatience (that is, renege) according to negative exponential distribution. The service times during a regular busy period, service times during a working vacation period, and vacation times are all independent and exponentially distributed random variables. Using Markov process, the steady-state equations are set and the steady-state system length distributions at arbitrary epoch are derived using blocked matrix method. A cost model is formulated to determine the optimum service rate. Sensitivity analysis is carried out to investigate the impact of the system parameters on various performance indices.
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Chu, C. Y. Cyrus. "Age-Specific Population Models: Steady States and Comparative Statics." In Population Dynamics. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780195121582.003.0007.

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Mainstream demographers studying the pattern of human population are used to classifying people by their ages. In the terminology of branching processes, the type space of the stochastic process is a subset of positive real numbers that characterize human ages. This chapter deals with this case and studies the corresponding steady states and comparative statics. I showed in chapter 2 that the dynamics of any type-specific population structure can be described by the equation Nt = QNt·l and that Q is block-decomposable in the age-specific case. The fact that the northeast block of Q being a zero matrix not only helps us derive the eigen-values and eigenvectors of Q but also helps us characterize the dynamic evolution of the birth size. Let Bt be the size of birth at period t, la = p1 × • • • × pa be the probability that a person can survive to age a, and ma be the average number of births per surviving member aged a. We see that the following accounting identity must hold: which is Lotka’s (1939) well-known renewal equation. is useful for deriving the steady-state age distribution. Given the assumption of a time-invariant fertility function mu, the total size of birth Bt, which is a linear combination of birth sizes of all fertile age groups, naturally grows at a constant rate in the steady state.
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"Sustainable Evolution in an Ever-Changing Environment." In Boundedness and Self-Organized Semantics: Theory and Applications, 149–68. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2202-9.ch008.

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It is suggested that the notion of equation-of-state serves as appropriate common basis for studying the macroscopic behavior of both traditional physical systems and complex systems. The reason is that while the equilibrium systems are characterized both by their energy function and the corresponding equation-of-state, the steady states of out-of-equilibrium systems are defined only by their dynamics, i.e. by their equations-of-state. It is demonstrated that there exists a common measure which generalizes the notion of Gibbs measure so that it acquires two-fold meaning: it appears both as local thermodynamical potential and as probability for robustness to environmental fluctuations. It is proven that the obtained Gibbs measure has very different meaning and role than its traditional counterpart. The first one is that it is derived without prerequisite requirement for simultaneous achieving of any extreme property of the system such as maximization of the entropy.
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Ikhlef, Lyes. "Performance Modeling of Finite Sources Retrial Queue using Markov Regenerative Approach." In Markov Model [Working Title]. IntechOpen, 2023. http://dx.doi.org/10.5772/intechopen.1000858.

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We study a finite source retrial queue with deterministic service times using an approach based on the theory of Markov Regenerative Process (MRP). A Deterministic Stochastic Petri Net (DSPN) model which copes with the complexity of this queue is given. For the steady state of this model, we construct the one step transition probability matrix of embedded Markov chain and the conversion matrix. As an example the retrial system M/D/1/2/2 is detailed. We establish an algorithm in Matlab environment based on the theoretic results obtained in order to compute efficiently various performance measures and to study the effect of system parameter's on the characteristics of the DSPN models the retial queue M/D/1/N/N.
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Conference papers on the topic "STEADY STATE PROBABILITY"

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Zhao, Xiaochuan, and Ali H. Sayed. "Probability distribution of steady-state errors and adaptation over networks." In 2011 IEEE Statistical Signal Processing Workshop (SSP). IEEE, 2011. http://dx.doi.org/10.1109/ssp.2011.5967673.

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Pal, Ranadip. "Analyzing steady state probability distributions of Context-sensitive Probabilistic Boolean Networks." In 2009 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS). IEEE, 2009. http://dx.doi.org/10.1109/gensips.2009.5174325.

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Karim, Md Shahriar, David M. Umulis, and Gregery T. Buzzard. "Steady state probability approximation applied to stochastic model of biological network." In 2011 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS). IEEE, 2011. http://dx.doi.org/10.1109/gensips.2011.6169442.

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Křetínský, Jan. "LTL-Constrained Steady-State Policy Synthesis." In Thirtieth International Joint Conference on Artificial Intelligence {IJCAI-21}. California: International Joint Conferences on Artificial Intelligence Organization, 2021. http://dx.doi.org/10.24963/ijcai.2021/565.

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Decision-making policies for agents are often synthesized with the constraint that a formal specification of behaviour is satisfied. Here we focus on infinite-horizon properties. On the one hand, Linear Temporal Logic (LTL) is a popular example of a formalism for qualitative specifications. On the other hand, Steady-State Policy Synthesis (SSPS) has recently received considerable attention as it provides a more quantitative and more behavioural perspective on specifications, in terms of the frequency with which states are visited. Finally, rewards provide a classic framework for quantitative properties. In this paper, we study Markov decision processes (MDP) with the specification combining all these three types. The derived policy maximizes the reward among all policies ensuring the LTL specification with the given probability and adhering to the steady-state constraints. To this end, we provide a unified solution reducing the multi-type specification to a multi-dimensional long-run average reward. This is enabled by Limit-Deterministic Büchi Automata (LDBA), recently studied in the context of LTL model checking on MDP, and allows for an elegant solution through a simple linear programme. The algorithm also extends to the general omega-regular properties and runs in time polynomial in the sizes of the MDP as well as the LDBA.
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Velasquez, Alvaro. "Steady-State Policy Synthesis for Verifiable Control." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. California: International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/784.

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In this paper, we introduce the Steady-State Policy Synthesis (SSPS) problem which consists of finding a stochastic decision-making policy that maximizes expected rewards while satisfying a set of asymptotic behavioral specifications. These specifications are determined by the steady-state probability distribution resulting from the Markov chain induced by a given policy. Since such distributions necessitate recurrence, we propose a solution which finds policies that induce recurrent Markov chains within possibly non-recurrent Markov Decision Processes (MDPs). The SSPS problem functions as a generalization of steady-state control, which has been shown to be in PSPACE. We improve upon this result by showing that SSPS is in P via linear programming. Our results are validated using CPLEX simulations on MDPs with over 10000 states. We also prove that the deterministic variant of SSPS is NP-hard.
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Müller, Frank, Peter Zeiler, and Bernd Bertsche. "Coverage Probability of Methods for Steady-State Availability Inference with a Confidence Interval." In Proceedings of the 29th European Safety and Reliability Conference (ESREL). Singapore: Research Publishing Services, 2020. http://dx.doi.org/10.3850/978-981-14-8593-0_3528-cd.

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Ghosh, Debjani, Satya Sankalp Gautam, and Mayank Pandey. "An Extension For PRISM Model Checker To Reduce Computation Time For Steady State Probability Analysis." In 2020 International Conference on Innovative Trends in Information Technology (ICITIIT). IEEE, 2020. http://dx.doi.org/10.1109/icitiit49094.2020.9071527.

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Wagner, Kevin T., and Milos I. Doroslovacki. "Joint conditional and steady-state probability densities of weight deviations for proportionate-type LMS algorithms." In 2011 45th Asilomar Conference on Signals, Systems and Computers. IEEE, 2011. http://dx.doi.org/10.1109/acssc.2011.6190326.

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Yang, Dingbang, Lina Zhu, Huajin Yu, and Xiangyu Yan. "One Dimensional Thermal Steady State Code of Sodium Heated Large Straight Tube Steam Generator." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-92490.

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Abstract Sodium heated once through steam generator (SG) is an important part of sodium cooled fast reactor. It converts the heat of hot sodium into water and water into superheated steam. Steam can turn a turbine to generate electricity. Compared with modular steam generator, large steam generator has great advantages in the application of large commercial sodium cooled fast reactor. Large steam generator can reduce its manufacturing cost and improve the economy of sodium cooled fast reactor. At the same time, the design of double-wall tube structure reduces the probability of sodium-water reaction and improves the safety and reliability of steam generator. In this paper, the heat transfer regions of the fluid in the heat transfer tube were reasonably divided, the heat transfer relations suitable for the double-wall tube steam generator were compared and analyzed, the contact thermal resistance of the double-wall tube was studied, and a set of physical models suitable for One-dimensional Steady-state calculation of large double-wall straight tube steam generator were established. In order to test the established physical model, the calculation results of the program were compared with the design data of some double-wall straight tube steam generators. It was found that the two agree well, which verified the correctness of the program. The 1-D steady-state thermal analysis of double-wall straight tube steam generator (DWTSG) was carried out by using the calculated results of the code.
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Mengran Xue and Sandip Roy. "Spectral and graph-theoretic bounds on steady-state-probability estimation performance for an ergodic Markov chain." In 2011 American Control Conference. IEEE, 2011. http://dx.doi.org/10.1109/acc.2011.5990901.

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Reports on the topic "STEADY STATE PROBABILITY"

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Montalvo-Bartolomei, Axel, Bryant Robbins, and Jamie López-Soto. Backward erosion progression rates from small-scale flume tests. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/42135.

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Backward erosion piping (BEP) is an internal erosion mechanism by which erosion channels progress upstream, typically through cohesionless or highly erodible foundation materials of dams and levees. As one of the primary causes of embankment failures, usually during high pool events, the probability of BEP-induced failure is commonly evaluated by the U.S. Army Corps of Engineers for existing dams and levees. In current practice, BEP failure probability is quantitatively assessed assuming steady state conditions with qualitative adjustments for temporal aspects of the process. In cases with short-term hydraulic loads, the progression rate of the erosion pipe may control the failure probability such that more quantitative treatment of the temporal development of erosion is necessary to arrive at meaningful probabilities of failure. This report builds upon the current state of the practice by investigating BEP progression rates through a series of laboratory experiments. BEP progression rates were measured for nine uniform sands in a series of 55 small-scale flume tests. Results indicate that the pipe progression rates are proportional to the seepage velocity and can be predicted using equations recently proposed in the literature.
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