Results 21 to 30 of about 287,761 (311)
A Kronecker Algebra Formulation for Markov Activity Networks with Phase-Type Distributions
Mathematics, 2021 The application of theoretical scheduling approaches to the real world quite often crashes into the need to cope with uncertain events and incomplete information. Stochastic scheduling approaches exploiting Markov models have been proposed for this class
Alessio Angius +2 more
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Building mean field ODE models using the generalized linear chain trick & Markov chain theory
Journal of Biological Dynamics, 2021 The well known linear chain trick (LCT) allows modellers to derive mean field ODEs that assume gamma (Erlang) distributed passage times, by transitioning individuals sequentially through a chain of sub-states.
Paul J. Hurtado, Cameron Richards
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Queuing models for cellular networks with generalised Erlang service distributions
Journal of Telecommunications and Information Technology, 2003 Providing seamless handover is one of the major problems in mobile communication environments. Careful dimensioning of the network and the underlying teletraffic analysis plays a major role in determining the various grade of services (GoSs) that can be
Aruna Jayasuriya
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Mathematics, 2023 The non-Markovian systems represent almost all stochastic processes, except of a small class having the Markov property; it is a real challenge to analyze these systems. In this article, we present a general method of analyzing non-Markovian systems. The
Gabriel Ciobanu
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On the canonical representation of phase type distributions [PDF]
Performance Evaluation, 2009 The characterization and the canonical representation of order-n phase type distributions (PH(n)) is an open research problem. This problem is solved for n=2, since the equivalence of the acyclic and the general PH distributions has been proven for a long time.
Gábor Horváth 0002, Miklós Telek
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On the nature of Phase-type Poisson distributions [PDF]
Annals of Actuarial Science, 2013 AbstractMatrix-form Poisson probability distributions were recently introduced as one matrix generalization of Panjer distributions. We show in this paper that under the constraint that their representation is to be nonnegative, they have a physical interpretation as extensions of PH distributions, and we name this restricted familyPhase-type Poisson ...
Hautphenne, Sophie +2 more
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Deterministic and stochastic oscillations of fractal type during cooling of the melt [PDF]
Геосистемы переходных зон, 2021 A "single-phase" model of melt crystallization in the Penrose–Fife representation for temperature distributions under non-isothermal conditions is considered. The boundary conditions are assumed to be nonlinear and dynamic, i.e.
Igor B. Krasnyuk, Andrey E. Zabolotin
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A generalized class of correlated run shock models
Dependence Modeling, 2018 In this paper, a generalized class of run shock models associated with a bivariate sequence {(Xi, Yi)}i≥1 of correlated random variables is defined and studied. For a system that is subject to shocks of random magnitudes X1, X2, ...
Yalcin Femin +2 more
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Journal of Industrial Engineering International, 2018 Acyclic phase-type distributions form a versatile model, serving as approximations to many probability distributions in various circumstances. They exhibit special properties and characteristics that usually make their applications attractive.
Mohsen Varmazyar +3 more
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Phase-type distributions in population genetics [PDF]
Theoretical Population Biology, 2018 Abstract Probability modelling for DNA sequence evolution is well established and provides a rich framework for understanding genetic variation between samples of individuals from one or more populations. We show that both classical and more recent models for coalescence (with or without recombination) can be described in terms of the ...
Hobolth, Asger +2 more
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