Results 1 to 10 of about 15,414,698 (300)
Multivariate Fractional Phase—Type Distributions [PDF]
Fractional Calculus and Applied Analysis, 2020 We extend the Kulkarni class of multivariate phase--type distributions in a natural time--fractional way to construct a new class of multivariate distributions with heavy-tailed Mittag-Leffler(ML)-distributed marginals. The approach relies on assigning rewards to a non--Mar\-ko\-vi\-an jump process with ML sojourn times.
Albrecher, Hansjörg +2 more
openaire +4 more sources
Markov Processes in Data Center Networks
IEEE Access, 2021 A data center network is an important infrastructure in various applications of modern information technologies. Data centers store files with useful information, but the lifetime of these data centers is limited.
Fan-Qi Ma, Rui-Na Fan
doaj +1 more source
Mathematics, 2021 A new probability distribution to study lifetime data in reliability is introduced in this paper. This one is a first approach to a non-homogeneous phase-type distribution. It is built by considering one cut-point in the non-negative semi-line of a phase-
Christian Acal +3 more
doaj +1 more source
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
doaj +1 more source
Design of a Three-Phase Shell-Type Distribution Transformer Using Evolutionary Algorithms
Energies, 2023 In this paper, three metaheuristic optimization algorithms: genetic algorithm (GA), particle swarm optimization (PSO), and differential evolution (DE) are compared in terms of minimizing the total owning cost (TOC) of the active part of a three-phase ...
Juan Carlos Olivares-Galvan +4 more
doaj +1 more source
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
doaj +1 more source
On Queues with Working Vacation and Interdependence in Arrival and Service Processes
Mathematics, 2023 In this paper, we consider two queuing models. Model 1 considers a single-server working vacation queuing system with interdependent arrival and service processes.
S Sindhu +2 more
doaj +1 more source
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
openaire +2 more sources
Frontiers in Energy Research, 2022 Bubble columns represent an extreme case of gas-liquid two-phase flow, where net liquid velocity is zero and the gas simply bubbles up through the liquid.
Di Wang +5 more
doaj +1 more source
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
doaj +1 more source