Study on energy saving strategy and Nash equilibrium of base station in cognitive radio network by Xiao-tong MA, Shun-fu JIN, Jian-ping LIU, Zhan-qiang HUO

“…Accordingly, a two-dimensional discrete time Markov stochastic model with preemptive priority service and single working vacation was established. …”
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Mathematical and statistical approaches in epidemiological investigation of hospital infection: A case study of the 2015 Middle East Respiratory Syndrome outbreak in Korea. by Youngsuk Ko, Eunok Jung

“…Mary's Hospital, the Republic of Korea. We developed a stochastic model based on individual case data to derive a likelihood function for disease transmission. …”
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Virtual machine scheduling strategy based on dual-speed and work vacation mode and its parameter optimization by Shun-fu JIN, Shan-shan HAO, Bao-shuai WANG

“…Due to the increasingly strict environmental standards,high pollution and high energy consumption have become the significant factors restricting the development of cloud data centers (CDC).Under the premise of guaranteeing the quality of service (QoS) of CDC,dynamic power management (DPM) technology was applied,synchronous multiple working sleep mode was introduced,and a novel virtual machine (VM) scheduling strategy was proposed.By establishing a two-dimensional continuous-time Markov stochastic model with adaptive service rate and synchronous multiple work vacations,and using the method of a matrix geometric solution,the performance of the VM scheduling strategy was evaluated in terms of energy saving level and average delay of requests.Numerical results with analysis and simulation verify the energy saving effectiveness of the VM scheduling strategy.In order to achieve a reasonable balance between the response performance and the energy-saving effect,a system utility function was constructed from the perspective of economics and design a researching algorithm of the sleep parameter based on the firefly algorithm(FA).…”
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Analysis of Investment Returns as Markov Chain Random Walk by Felix Okoe Mettle, Emmanuel Kojo Aidoo, Carlos Oko Narku Dowuona, Louis Agyekum

“…The main objective of this paper is to analyse investment returns using a stochastic model and inform investors about the best stock market to invest in. …”
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On the mathematical modelling of tumor-induced angiogenesis by Luis L. Bonilla, Vincenzo Capasso, Mariano Alvaro, Manuel Carretero, Filippo Terragni

“…To reduce this complexity, for a conceptual stochastic model we have explored how to take advantage of the system intrinsic multiscale structure: one might describe the stochastic dynamics of the cells at the vessel tip at their natural microscale, whereas the dynamics of the underlying fields is given by a deterministic mean field approximation obtained by an averaging at a suitable mesoscale. …”
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A Semiempirical MIMO Channel Model in Obstructed Viaduct Scenarios on High-Speed Railway by Tao Zhou, Cheng Tao, Liu Liu, Zhenhui Tan

“…The proposed MIMO model is based on the combination of realistic single-input single-output (SISO) channel measurement results and a theoretical geometry-based stochastic model (GBSM). Temporal fading characteristics involving K-factor and Doppler power spectral density (PSD) are derived from the wideband measurement under an obstructed viaduct on Zhengzhou-Xi’an HSR in China. …”
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Anti-correlation of LacI association and dissociation rates observed in living cells by Vinodh Kandavalli, Spartak Zikrin, Johan Elf, Daniel Jones

“…Here, we systematically test this assumption using cell-to-cell variability in gene expression as a window into the in vivo association and dissociation kinetics of the model transcription factor LacI. Using a stochastic model of the relationship between gene expression variability and binding kinetics, we performed single-cell gene expression measurements to infer association and dissociation rates for a set of 35 different LacI binding sites. …”
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Stochastic control with state constraints via the Fokker–Planck equation. Application to renewable energy plants with batteries by Bermúdez, Alfredo, Padín, Iago

“…In this paper we present a methodology for the development of bidding strategies and real-time control for electricity producers in a competitive electricity marketplace. Firstly, a stochastic model of a wind power plant with battery storage is stated in the framework of stochastic differential equations (SDE). …”
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Determination of the best time series model for forecasting annual rainfall of selected stations of Western Azerbaijan province by Somayeh Soltani gerdfaramarzi, Aref Saberi, Morteza Gheisouri

“…To investigate model static, Auto Correlation Function (ACF) and Partial Auto Correlation Function (PACF) was applied and with differencing method, the non-static data transformed to static data. In next step, stochastic models to estimate the annual rainfall average were used. …”
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Inherent stochasticity, noise and limits of detection in continuous and time-gated fluorescence systems. by Nicholas H Vitale, Arjang Hassibi, Hyongsok Tom Soh, Boris Murmann, Thomas H Lee

“…Both the ensemble and stochastic models presented in this work have been verified using Monte Carlo molecular dynamic simulations that utilize the Gillespie algorithm. …”
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On Individual Repositioning Distance along Platform during Train Waiting by Fabien Leurent, Xiaoyan Xie

“…This paper provides a stochastic model, in which user’s journey is decomposed into phases of, successively, walking in the access station, platform positioning, waiting for boarding, train riding, and walking in the egress station. …”
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Probabilistic-fuzzy programming model with chance-constrained to optimize wastewater treatment plants: A case study with the Bantul wastewater treatment plant layout by Armanda Adiqya May Dwi, Sutrisno, Sunarsih, Widowati, Kartono

“…Unlike traditional deterministic or stochastic models, this approach integrates both probabilistic and fuzzy uncertainties capturing real-world variations in Biological Oxygen Demand (BOD) degradation rates and wastewater loads. …”
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Multiobjective Multistate System Preventive Maintenance Model with Human Reliability by Chao-Hui Huang, Chun-Ho Wang, Guan-Liang Chen

“…The MSS performance based on mean system unavailability and total maintenance cost is evaluated using a stochastic model approach, and then, the MSSPMM is used for optimisation. …”
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The mean and noise of stochastic gene transcription with cell division by Qi Wang, Lifang Huang, Kunwen Wen, Jianshe Yu

“…In this paper, we study the impact of cell division on the mean and noise of mRNA numbers by using a two-state stochastic model of transcription. Our results show that the steady-state mRNA noise with symmetric cell division is less than that with binomial inheritance with probability 0.5, but the steady-state mean transcript level with symmetric division is always equal to that with binomial inheritance with probability 0.5. …”
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Exploring Route Choice Behaviours Accommodating Stochastic Choice Set Generations by Shin-Hyung Cho, Seung-Young Kho

“…Many studies have focused on route choice behaviour using the stochastic model, and they have tried to construct the heterogeneous route choice model with various types of data. …”
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A General 3D Nonstationary Vehicle-to-Vehicle Channel Model Allowing 3D Arbitrary Trajectory and 3D-Shaped Antenna Array by Qiuming Zhu, Weidong Li, Ying Yang, Dazhuan Xu, Weizhi Zhong, Xiaomin Chen

“…This paper develops a general 3D nonstationary V2V channel model, which is based on the traditional geometry-based stochastic models (GBSMs) and the twin-cluster approach. …”
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Assessing the potential impact of grasshopper outbreaks on Patagonian wetlands through mathematical modelling by Laura Soledad Serrano, Ana Laura Pietrantuono, María Fabiana Laguna, Mariana Weigandt, María Emilia Amadio, Valeria Fernández-Arhex

“…We employed this information to develop a spatially explicit stochastic model based on individuals. This model demonstrates that the potential impact of these species depends on both their densities and the wetland’s vegetal biomass. …”
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SEDIMENT RUNOFF AND WATER TURBIDITY OF THE MAIN TRIBUTARIES OF THE LAKE LADOGA by Marina V. Shmakova, Sergey A. Kondratyev

“…The modeling of annual solid runoff and turbidity of the Ladoga tributaries is based on an analytical formula for sediment flow by M.V. Shmakova and a stochastic model of annual solid runoff (M.V. Shmakova). …”

Exact Recovery for System Identification With More Corrupt Data Than Clean Data by Baturalp Yalcin, Haixiang Zhang, Javad Lavaei, Murat Arcak

“…We examine non-asymptotic properties of these estimators in two separate scenarios, corresponding to deterministic and stochastic models for the attack times. We prove that when the system is stable and attacks are injected periodically, the sample complexity for exact recovery of the system dynamics is linear in terms of the dimension of the states. …”
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A Combination of Classification Robust Adaptive Kalman Filter with PPP-RTK to Improve Fault Detection for Integrity Monitoring of Autonomous Vehicles by Hassan Elsayed, Ahmed El-Mowafy, Amir Allahvirdi-Zadeh, Kan Wang, Xiaolong Mi

“…Epoch-wise weighting adjustments in the robustness test create a more accurate stochastic model, aided by an adaptive unit weight variance (UWV) calculated with a sliding window, achieving a 7–28% UWV reduction. …”
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