Results 1 to 10 of about 2,455,160 (79)

Stability of Queueing Systems with Impatience, Balking and Non-Persistence of Customers

Mathematics
The operation of many queueing systems is adequately described by the structured multidimensional continuous-time Markov chains. The most well-studied classes of such chains are level-independent Quasi-Birth-and-Death processes, GI/M/1 type and M/G/1 ...
Alexander N. Dudin, Sergey A. Dudin, Valentina I. Klimenok, Olga S. Dudina   +3 more
doaj   +3 more sources

Randomized Threshold Strategy for Providing Flexible Priority in Multi-Server Queueing System with a Marked Markov Arrival Process and Phase-Type Distribution of Service Time

Mathematics, 2023
In this paper, we analyze a multi-server queueing system with a marked Markov arrival process of two types of customers and a phase-type distribution of service time depending on the type of customer.
A. N. Dudin, S. A. Dudin, O. S. Dudina
doaj   +1 more source

Analysis of retrial queue with heterogeneous servers and Markovian arrival process

Informatika, 2020
Multi-server retrial queueing system with heterogeneous servers is analyzed. Requests arrive to the system according to the Markovian arrival process. Arriving primary requests and requests retrying from orbit occupy an available server with the highest ...
Mei Liu
doaj   +1 more source

Analysis of BMAP/PH/N-Type Queueing System with Flexible Retrials Admission Control

Mathematics
This research examines a multi-server retrial queueing system with a batch Markov arrival process and a phase-type service time distribution. The system’s distinguishing feature is its ability to control the admission of retrial customers.
Sergei A. Dudin, Olga S. Dudina, Azam A. Imomov, Dmitry Y. Kopats   +3 more
doaj   +1 more source

Development of a Constructive Method for Verification of Ergodicity and Calculation of the Stationary Distribution of Quasi-Birth-And-Death Processes with Spatially Inhomogeneous Transitions

Mathematics
The problem of verifying ergodicity and calculating the stationary distribution for continuous-time multidimensional Markov chains with a block tridiagonal generator (Quasi-Birth-and-Death (QBD) processes) is investigated.
Sergei A. Dudin, Alexander N. Dudin, Olga S. Dudina   +2 more
doaj   +1 more source

Disquisition of a Retrial Queueing System with Batch Markovian Arrival Process, Nonidentical Service Devices and Phase-Type Distribution of Service Times

Axioms
We study a retrial queueing system with N ranked heterogeneous service devices where processing times at each device follow a phase-type (PH) distribution with device-dependent parameters.
Mei Liu, Alexander N. Dudin
doaj   +1 more source

Algorithmic Analysis of Queuing System with Varying Number of Servers, Phase-Type Service Time Distribution, and Changeable Arrival Process Depending on Random Environment

Computation
An MAP/PH/N-type queuing system functioning within a finite-state Markovian random environment is studied. The random environment’s state impacts the number of available servers, the underlying processes of customer arrivals and service, and the ...
Alexander Dudin, Olga Dudina, Sergei Dudin   +2 more
doaj   +1 more source

Continuous-Time Asymptotically Quasi-Toeplitz Markov Chains

, 2014
We introduce into consideration and study continuous-time multi-dimensional asymp-totically quasi-toeplitz Markov chains. Sufficient conditions for stability are proved and algorithm for calculation of the steady state probabilities is presented.
Klimenok, V., Dudin, A.
openaire   +1 more source

Unification of the Nature's Complexities via a Matrix Permanent-Critical Phenomena, Fractals, Quantum Computing, ♯P-Complexity. [PDF]

Entropy (Basel), 2020
Kocharovsky V, Kocharovsky V, Tarasov S.
europepmc   +1 more source

Multiscale analysis of slow-fast neuronal learning models with noise. [PDF]

J Math Neurosci, 2012
Galtier M, Wainrib G.
europepmc   +1 more source