Result: The BMAP/PH/1 retrial queueing system operating in random environment
Title:
The BMAP/PH/1 retrial queueing system operating in random environment
Source:
5th St. Petersburg workshop on simulation, St. Petersburg State University, St. Petersburg, Russia, 26 June-2 July 2005. Part IIJournal of statistical planning and inference. 137(12):3904-3916
Publisher Information:
Amsterdam; Lausanne; New York,NY: Elsevier Science, 2007.
Publication Year:
2007
Physical Description:
print, 1/4 p
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Probabilités et statistiques, Probability and statistics, Théorie des probabilités et processus stochastiques, Probability theory and stochastic processes, Processus particuliers (théorie du renouvellement, processus de renouvellement markoviens, processus semi-markoviens, modèles de la mécanique statistique, applications diverses), Special processes (renewal theory, markov renewal processes, semi-markov processes, statistical mechanics type models, applications), Statistiques, Statistics, Généralités, General topics, Inférence à partir de processus stochastiques; analyse des séries temporelles, Inference from stochastic processes; time series analysis, Applications, Biologie, psychologie, sciences sociales, Biology, psychology, social sciences, Algorithme, Algorithm, Algoritmo, Arrivée par groupe, Batch arrival, Llegada por grupo, Chaîne Markov, Markov chain, Cadena Markov, Distribution temporelle, Time distribution, Distribución temporal, Décision statistique, Statistical decision, Decisión estadística, Environnement, Environment, Medio ambiente, Ergodicité, Ergodicity, Ergodicidad, Estimation statistique, Statistical estimation, Estimación estadística, Fonction répartition, Distribution function, Función distribución, Méthode statistique, Statistical method, Método estadístico, Méthode stochastique, Stochastic method, Método estocástico, Processus Markov, Markov process, Proceso Markov, Processus arrivée, Arrival process, Proceso llegada, Processus service, Service process, Proceso servicio, Processus stochastique, Stochastic process, Proceso estocástico, Système attente, Queueing system, Sistema fila espera, Système exploitation, Operating system, Sistema operativo, Temps continu, Continuous time, Tiempo continuo, Temps service, Service time, Tiempo servicio, Test hypothèse, Hypothesis test, Test hipótesis, Test statistique, Statistical test, Test estadístico, 37A25, 60E05, 60Fxx, 60J10, 60K20, 60K37, 62M02, 62P12, 65C40, Loi stationnaire, Stationary distribution, Loi type phase, Phase type distribution, Batch Markovian arrival process, Markovian random environment, Phase-type service, Retrial queueing system
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Sangji University, Wonju, Kangwon 220-702, Korea, Republic of
Belarusian State University, 4, Nezavisimosti Avenue, Minsk 220030, Belarus
Gyeongsang National University, Jinju 660-701, Korea, Republic of
Belarusian State University, 4, Nezavisimosti Avenue, Minsk 220030, Belarus
Gyeongsang National University, Jinju 660-701, Korea, Republic of
ISSN:
0378-3758
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.19061098
Database:
PASCAL Archive
Further Information
A single-server retrial queueing model with the batch Markovian arrival process and phase-type service time distribution is analyzed. The system has R operation modes which are switched by a Markovian random environment. The multi-dimensional Markov chain describing the behavior of the system is investigated by means of continuous time asymptotically quasi-toeplitz Markov chains. It allows to obtain a constructive form ergodicity condition and elaborate stable algorithms for calculating the stationary distribution. Main performance measures are computed. Numerical illustrations are presented.