Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: A queueing system with heterogeneous impatient customers and consumable additional items
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
A single-server queueing system with a marked Markovian arrival process of heterogeneous customers is considered. Type-1 customers have limited preemptive priority over type-2 customers. There is an infinite buffer for type-2 customers and no buffer for type-1 customers. There is also a finite buffer (stock) for consumable additional items (semi-products, half-stocks, etc.) which arrive according to the Markovian arrival process. Service of a customer requires a fixed number of consumable additional items depending on the type of the customer. The service time has a phase-type distribution depending on the type of the customer. ; Customers in the buffer are impatient and may leave the system without service after an exponentially distributed amount of waiting time. Aiming to minimize the loss probability of type-1 customers and maximize throughput of the system, a threshold strategy of admission to service of type-2 customers is offered. Service of type-2 customer can start only if the server is idle and the number of consumable additional items in the stock exceeds the fixed threshold. Stationary distributions of the system states and the waiting time are computed. In the numerical example, we show some interesting effects and illustrate a possibility of application of the presented results for solution of optimization problems.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 27, number 2 (2017) ; click here to follow the link
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:
27
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/100618
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 |
|---|---|
| A queueing system with heterogeneous impatient customers and consumable additional items | Jul 14, 2025 |
Objects Similar
Kim, Chesoong Dudin, Alexander Dudin, Sergey Dudina, Olga Abaev, Pavel - ed. Razumchik, Rostislav - ed. Kołodziej, Joanna - ed.
Mészáros, András Papp, János Telek, Miklós Abaev, Pavel - ed. Razumchik, Rostislav - ed. Kołodziej, Joanna - ed.
