Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Analysis of an MAP/PH/1 queue with flexible group service
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract_pl:
A novel customer batch service discipline for a single server queue is introduced and analyzed. Service to customers is offered in batches of a certain size. If the number of customers in the system at the service completion moment is less than this size, the server does not start the next service until the number of customers in the system reaches this size or a random limitation of the idle time of the server expires, whichever occurs first. Customers arrive according to a Markovian arrival process. ; An individual customer`s service time has a phase-type distribution. The service time of a batch is defined as the maximum of the individual service times of the customers which form the batch. The dynamics of such a system are described by a multi-dimensional Markov chain. An ergodicity condition for this Markov chain is derived, a stationary probability distribution of the states is computed, and formulas for the main performance measures of the system are provided. The Laplace?Stieltjes transform of the waiting time is obtained. Results are numerically illustrated.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
click here to follow the link ; AMCS, volume 27, number 1 (2017)
Language:
License CC BY 4.0:
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) > International Journal of Applied Mathematics and Computer Science (AMCS) (2017)
Last modified:
Jul 14, 2025
In our library since:
Jul 3, 2025
Number of object content hits:
25
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/100599
Show description in RDF format:
Show description in OAI-PMH format:
-
-
-
-
-
-
-
-
-
-
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 1 (2017)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 2 (2017)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 3 (2017)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 27, number 4 (2017)
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
| Edition name | Date |
|---|---|
| Analysis of an MAP/PH/1 queue with flexible group service | Jul 14, 2025 |
Objects Similar
Gaidamaka, Yuliya Pechinkin, Alexander Razumchik, Rostislav Samouylov, Konstantin Sopin, Eduard Abaev, Pavel - ed. Razumchik, Rostislav - ed. Kołodziej, Joanna - ed.
Dudin, Alexander Lee, Moon Ho Dudin, Sergey Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Fiems, Dieter De Vuyst, Stijn Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Woźniak, Marcin Kempa, Wojciech M. Gabryel, Marcin Nowicki, Robert K. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Zeifman, Alexander Satin, Yacov Korolev, Victor Shorgin, Sergey Abaev, Pavel - ed. Razumchik, Rostislav - ed. Kołodziej, Joanna - ed.
Kryazhimskii, Arkadii Triggiani, Roberto- ed. Maksimov, Vyacheslav I. - ed.
Biedrzycki, Rafał Arabas, Jarosław Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Kim, Chesoong Dudin, Alexander Dudin, Sergey Dudina, Olga Abaev, Pavel - ed. Razumchik, Rostislav - ed. Kołodziej, Joanna - ed.
