A Tandem BMAPG1→•MN0 Queue with Group Occupation of Servers at the Second Station
Joint Authors
Kim, CheSoong
Klimenok, Valentina
Taramin, Olga
Dudin, Alexander N.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-15
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We consider a two-stage tandem queue with single-server first station and multiserver second station.
Customers arrive to Station 1 according to a batch Markovian arrival process (BMAP).
A batch may consist of heterogeneous customers.
The type of a customer is determined upon completion of a service at Station 1.
The customer's type is classified based on the number of servers required to process the request of the customer at Station 2.
If the required number of servers is not available, the customer may leavethe system forever or block Station 1 by waiting for the required number of servers.
We determine thestationary distribution of the system states at embedded epochs and derive the Laplace-Stieltjes transformof the sojourn time distribution.
Some key performance measures are calculated, and illustrative numericalresults are presented.
American Psychological Association (APA)
Kim, CheSoong& Dudin, Alexander N.& Klimenok, Valentina& Taramin, Olga. 2011. A Tandem BMAPG1→•MN0 Queue with Group Occupation of Servers at the Second Station. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-1029537
Modern Language Association (MLA)
Kim, CheSoong…[et al.]. A Tandem BMAPG1→•MN0 Queue with Group Occupation of Servers at the Second Station. Mathematical Problems in Engineering No. 2012 (2012), pp.1-26.
https://search.emarefa.net/detail/BIM-1029537
American Medical Association (AMA)
Kim, CheSoong& Dudin, Alexander N.& Klimenok, Valentina& Taramin, Olga. A Tandem BMAPG1→•MN0 Queue with Group Occupation of Servers at the Second Station. Mathematical Problems in Engineering. 2011. Vol. 2012, no. 2012, pp.1-26.
https://search.emarefa.net/detail/BIM-1029537
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029537