Results 21 to 30 of about 4,895,065 (306)
Correct Approximation of Stationary Distributions
, 2023 Abstract A classical problem for Markov chains is determining their stationary (or steady-state) distribution. This problem has an equally classical solution based on eigenvectors and linear equation systems. However, this approach does not scale to large instances, and iterative solutions are desirable.
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Analysis of a Class of Predation-Predation Model Dynamics with Random Perturbations
Mathematics, 2022 In this paper, we study a class of predation–prey biological models with random perturbation. Firstly, the existence and uniqueness of systematic solutions can be proven according to Lipschitz conditions, and then we prove that the systematic solution ...
Xuewen Tan +3 more
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Mathematics, 2022 In view of prey’s delayed fear due to predators, delayed predator gestation, and the significance of intra-specific competition between predators when their populations are sufficiently large, a prey–predator population model with a density-dependent ...
Yuanfu Shao, Weili Kong
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Stationary Stability for Evolutionary Dynamics in Finite Populations
Entropy, 2016 We demonstrate a vast expansion of the theory of evolutionary stability to finite populations with mutation, connecting the theory of the stationary distribution of the Moran process with the Lyapunov theory of evolutionary stability.
Marc Harper, Dashiell Fryer
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New Approach for Finding Basic Performance Measures of Single Server Queue
Journal of Probability and Statistics, 2014 Consider the single server queue in which the system capacity is infinite and the customers are served on a first come, first served basis. Suppose the probability density function f(t) and the cumulative distribution function F(t) of the interarrival ...
Siew Khew Koh, Ah Hin Pooi, Yi Fei Tan
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Stationary distributions of persistent ecological systems [PDF]
Journal of Mathematical Biology, 2021 We analyze ecological systems that are influenced by random environmental fluctuations. We first provide general conditions which ensure that the species coexist and the system converges to a unique invariant probability measure (stationary distribution). Since it is usually impossible to characterize this invariant probability measure analytically, we
Alexandru Hening, Yao Li
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Markov Chain States Classification in a Tandem Model with a Cyclic Service Algorithm with Prolongation [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 There is a limited list of papers about crossroads tandems. Usually the following service algorithms are under consideration: a cyclic algorithm with fixed duration, a cyclic algorithm with a loop a cyclic algorithm with regime changes etc.
Kocheganov, Victor Mihaylovich
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Multi-server queueing system with reserve servers
Журнал Белорусского государственного университета: Математика, информатика, 2019 In this paper, we investigate a multi-server queueing system with an unlimited buffer, which can be used in the design of energy consumption schemes and as a mathematical model of unreliable real stochastic systems.
Valentina I. Klimenok
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Analytical Model and Feedback Predictor Optimization for Combined Early-HARQ and HARQ
Mathematics, 2021 In order to fulfill the stringent Ultra-Reliable Low Latency Communication (URLLC) requirements towards Fifth Generation (5G) mobile networks, early-Hybrid Automatic Repeat reQuest (e-HARQ) schemes have been introduced, aimed at providing faster feedback
Tatiana Rykova +4 more
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Irreducibility and uniqueness of stationary distribution
Osaka Journal of Mathematics, 2009 In this paper, we shall prove that the irreducibility in the sense of fine topology implies the uniqueness of invariant probability measures. It is also proven that this irreducibility is strictly weaker than the strong Feller property plus irreducibility in the sense of original topology, which is the usual uniqueness condition.
He, Ping, Ying, Jiangang
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