Prediction of Mine Dust Concentration Based on Grey Markov Model by Zhou Xu, Guo Liwen, Zhang Jiuling, Qin Sijia, Zhu Yi

“…Then, the GM (1, 1) model is optimized by the theory of the Markov chain model. According to the relative error range generated during the prediction, the state interval is divided. …”
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A retrial queueing system with processor sharing and impatient customers by V. I. Klimenok

“…The operation of the system is described in terms of a multi-dimensional Markov chain. It is proved that for any values of the system parameters this chain has a stationary distribution. …”
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Extropy estimation of Weibull distribution under upper records by Nour El Houda Zouaoui

“…This work explores the features of parametric and non-parametric estimators based on upper record values under the a two-parameter Weibull distribution. We apply the Markov Chain Monte Carlo (MCMC) method to provide a Bayesian estimator. …”
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Analysis of loss probabilities on the call level and packet level in a multi-rate system by JIANG Hong-yan, LIN Ya-ping, HUANG Sheng-ye

“…A systematic research on the performance analysis on the call level and the packet level in a system with multi-rate VBR services was made.According to the global balance condition of a multi-dimensional Markov chain,an algorithm of accurately evaluating the probability distribution of on-line connections of each service type in a system with partial sharing policy was proposed.Further,the call blocking probability and the packet loss probability were ob-tained.Simulation results show that the algorithm is accurate.…”
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Avaliability model for reconfigurable network by Liang ZHAO, Xiao-hui ZHANG, Yu WANG

“…In this model, quantitative description of the node service capabilities and network services capabilities, based on reconfigurable network by introducing state transition theory, finite-state Markov chain theoretical analysis. To verify the validity of the availability of the model by simulation, simulation results show that the theoretical model calculations and simulation results fit better, can be used to describe the specific performance reconfigurable networks available.…”
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The Basic Reproduction Number for the Markovian SIR-Type Epidemic Models: Comparison and Consistency by Muteb Faraj Alharthi

“…The second is to assess the Martingale method by comparing its performance to that of Markov Chain Monte Carlo (MCMC) methods in terms of estimating this parameter and the infection and removal rate parameters given only removal data. …”
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High Reliable Relay Selection Approach for QoS Provisioning in Wireless Distributed Sensor Networks by Yong Jin

“…To address this problem, we focus on the reliable adaptive relay selection approach and adaptive QoS supported algorithm, based on which we present a Markov chain model, in consideration of different packet states and error control algorithm assignment. …”
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Queue stability distributed spectrum access algorithm based on Markov model for cognitive radio network by Xiao-hui LI, Jin-zhao ZHANG, Yong-qiang HEI

“…The queue stability of the secondary users in cognitive network was considered.A Markov chain model for the state of users in the cognitive network was constructed and a distributed CSMA algorithm was proposed.The secondary users adjust the parameters of back-off time due to the arrival and service rate to ensure the queue stability.Upper bound of the capacity of secondary users under the collision constrainting to primary user was derived in closed form.If the arrival rate of secondary users is smaller than the upper bound of capacity,queue stability can be ensured by the proposed algorithm.Simulations verified the effectiveness of the algorithm.…”
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Fixation Probabilities of Evolutionary Graphs Based on the Positions of New Appearing Mutants by Pei-ai Zhang

“…To calculate the fixation probability is usually regarded as a Markov chain process, which is affected by the number of the individuals, the fitness of the mutant, the game strategy, and the structure of the population. …”
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Transient community awared data forwarding mechanism for intermittent connected wireless network by Jian DU, Yuanyi XIA, Junfeng ZHAO, Zheng WANG, He WANG

“…In order to solve the problem of data forwarding in intermittent connected wireless network effectively,a transient community awared data forwarding mechanism for intermittent connected wireless network (ICWN) was proposed.Utilizing the semi-Markov chain model,the transfer process of nodes’s between multiple geographic locations was described and the time probability distribution of nodes’ encountering in the future was predicted,then the encountering time and locations could be obtained,which provided theoretical basis for the selection of next relay node.Experiment results show that the proposed mechanism can effectively improve the forecasting accuracy of nodes’ encounter and has a great improvement in the data delivery ratio and transmission delay.…”
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Stochastic Stability of Neural Networks with Both Markovian Jump Parameters and Continuously Distributed Delays by Quanxin Zhu, Jinde Cao

“…The jumping parameters are modeled as a continuous-time, finite-state Markov chain. By constructing appropriate Lyapunov-Krasovskii functionals, some novel stability conditions are obtained in terms of linear matrix inequalities (LMIs). …”
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Research on Spectrum Access Mechanism Based on Polling Scheduling by Jin Lu, Ming Huang, Zhijun Yang

“…Based on the analysis method of embedded Markov chain and probability generating function, the key parameters of average queue length, bandwidth utilization and forced termination probability were obtained through solving the stationary distribution of equilibrium state. …”
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Finite-State-Space Truncations for Infinite Quasi-Birth-Death Processes by Hendrik Baumann

“…For dealing numerically with the infinite-state-space Markov chains, a truncation of the state space is inevitable, that is, an approximation by a finite-state-space Markov chain has to be performed. …”
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First Hitting Place Probabilities for a Discrete Version of the Ornstein-Uhlenbeck Process by Mario Lefebvre, Jean-Luc Guilbault

“…A Markov chain with state space {0,…,N} and transition probabilities depending on the current state is studied. …”
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A Bayesian approach to discrete multiple outcome network meta-analysis. by Rebecca Graziani, Sergio Venturini

“…The remaining elements of the hierarchial random effects model are specified in a standard way, with the logit of the success probabilities given by the sum of a baseline log-odds and random effects comparing the log-odds of each treatment against the reference and having a Gaussian distribution centered at the vector of pooled effects. An adaptive Markov Chain Monte Carlo algorithm is devised for running posterior inference. …”
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An Analytical Approach to Opportunistic Transmission under Rayleigh Fading Channels by Yousaf Bin Zikria, Sung Won Kim, Heejung Yu, Seung Yeob Nam

“…Under this model, we develop a generic Markov chain model to obtain the analytical results and verify the effectiveness of the statistical analysis. …”
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Delay analysis of multi-state Markov channels by Zhiqiang ZHOU, Tong YE, Dong LI

“…With the rapid development of wireless technology,the wireless communication offers great flexibility and convenience to mobile users.However,due to the slow/fast fading caused by multipath effect,the transmission rate of wireless fading channel is unstable,which will affect the transmission delay and communication quality.In literature,the wireless fading channel is also called Markov channel.The transition of channel state is controlled by a Markov chain.A detailed analysis was given for a three-state Markov channel.The whole system was modeled as an M/MMSP/1 queuing system considering the arrivals and services of packets.By defining conditional start service probability and conditional expected delay,the analytical expressions of mean service time and mean waiting time of packets were given using the state transition matrix.At last,by discussing the mean waiting time in limiting cases,the factors that affect the delay were given.…”
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Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble by Amol Aggarwal, Jiaoyang Huang

“…To realize this comparison, we require a nearly optimal concentration estimate for the tiling height function, which we establish by exhibiting a certain Markov chain on the set of all tilings that preserves such concentration estimates under its dynamics.…”
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Parameter Estimation on a Stochastic SIR Model with Media Coverage by Changguo Li, Yongzhen Pei, Meixia Zhu, Yue Deng

“…In order to reduce the computational load, the Newton-Raphson algorithm and Markov Chain Monte Carlo (MCMC) technique are incorporated with maximum likelihood estimation. …”
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Inference of Process Capability Index Cpy for 3-Burr-XII Distribution Based on Progressive Type-II Censoring by Rashad M. EL-Sagheer, Mustafa M. Hasaballah

“…The Bayesian estimates for the index Cpy have been obtained by the Markov Chain Monte Carlo method. Also, the credible intervals are constructed by using MCMC samples. …”
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