Object
Title: A discrete-time system with service control and repairs
Contributor:
Abaev, Pavel - ed. ; Razumchik, Rostislav - ed. ; Kołodziej, Joanna - ed.
Subtitle:
Group publication title:
Abstract:
This paper discusses a discrete-time queueing system with starting failures in which an arriving customer follows three different strategies. Two of them correspond to the LCFS (Last Come First Served) discipline, in which displacements or expulsions of customers occur. The third strategy acts as a signal, that is, it becomes a negative customer. Also examined is the possibility of failures at each service commencement epoch. ; We carry out a thorough study of the model, deriving analytical results for the stationary distribution. We obtain the generating functions of the number of customers in the queue and in the system. The generating functions of the busy period as well as the sojourn times of a customer at the server, in the queue and in the system, are also provided. ; We present the main performance measures of the model. The versatility of this model allows us to mention several special cases of interest. Finally, we prove the convergence to the continuous-time counterpart and give some numerical results that show the behavior of some performance measures with respect to the most significant parameters of the system.
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:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- 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:
13
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/88760
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 |
|---|---|
| A discrete-time system with service control and repairs | Apr 25, 2024 |
