Object
![Analysis of an MMAP/PH1, PH2/N/[ the sign of infinity] queueing system operating in a random environment](https://zbc.uz.zgora.pl/image/edition/thumbnail:docmetadata/78960)
Title: Analysis of an MMAP/PH1, PH2/N/[ the sign of infinity] queueing system operating in a random environment
Contributor:
Abaev, Pavel - ed. ; Razumchik, Rostislav - ed. ; Kołodziej, Joanna - ed.
Subtitle:
Group publication title:
Abstract:
A multi-server queueing system with two types of customers and an infinite buffer operating in a random environment as a model of a contact center is investigated. The arrival flow of customers is described by a marked Markovian arrival process. Type 1 customers have a non-preemptive priority over type 2 customers and can leave the buffer due to a lack of service. The service times of different type customers have a phase-type distribution with different parameters. ; To facilitate the investigation of the system we use a generalized phase-type service time distribution. The criterion of ergodicity for a multi-dimensional Markov chain describing the behavior of the system and the algorithm for computation of its steady-state distribution are outlined. Some key performance measures are calculated. The Laplace-Stieltjes transforms of the sojourn and waiting time distributions of priority and non-priority customers are derived. A numerical example illustrating the importance of taking into account the correlation in the arrival process is presented.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 24, number 3 (2014) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2014)
Last modified:
Apr 25, 2024
In our library since:
Apr 25, 2024
Number of object content hits:
32
All available object's versions:
https://zbc.uz.zgora.pl/publication/88761
Show description in RDF format:
Show description in OAI-PMH format:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 1 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 2 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 3 (2014)
- Fitting traffic traces with discrete canonical phase type distributions and Markov arrival processes
- A discrete-time system with service control and repairs
- Analysis of an MMAP/PH1, PH2/N/[ the sign of infinity] queueing system operating in a random environment
- On truncations for weakly ergodic inhomogeneous birth and death processes
- Analysis of an M|G|1|R queue with batch arrivals and two hysteretic overload control policies
- Using a vision cognitive algorithm to schedule virtual machines
- High-performance simulation-based algorithms for an alpine ski racer`s trajectory optimization in heterogeneous computer systems
- Multiple-instance learning with pairwise instance similarity
- Imitation learning of car driving skills with decision trees and random forests
- A simultaneous localization and tracking method for a worm tracking system
- Methods for estimating vehicle queues at a marine terminal: A computational comparison
- A factor graph based genetic algorithm
- An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination
- Multiple neural network integration using a binary decision tree to improve the ECG signal recognition accuracy
- Data mining methods for gene selection on the basis of gene expression arrays
- Forecasting return products in an integrated forward/reverse supply chain utilizing an ANFIS
- Modeling acquaintance networks based on balance theory
- A RED modified weighted moving average for soft real-time application
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 4 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24, number 1 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Analysis of an MMAP/PH1, PH2/N/[ the sign of infinity] queueing system operating in a random environment | Apr 25, 2024 |
