The GeoGeo1+1 Queueing System with Negative Customers
Joint Authors
Ma, Zhanyou
Guo, Yalin
Wang, Pengcheng
Hou, Yumei
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study a Geo/Geo/1+1 queueing system with geometrical arrivals of both positive and negative customers in which killing strategies considered are removal of customers at the head (RCH) and removal of customers at the end (RCE).
Using quasi-birth-death (QBD) process and matrix-geometric solution method, we obtain the stationary distribution of the queue length, the average waiting time of a new arrival customer, and the probabilities of servers in busy or idle period, respectively.
Finally, we analyze the effect of some related parameters on the system performance measures.
American Psychological Association (APA)
Ma, Zhanyou& Guo, Yalin& Wang, Pengcheng& Hou, Yumei. 2013. The GeoGeo1+1 Queueing System with Negative Customers. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1008630
Modern Language Association (MLA)
Ma, Zhanyou…[et al.]. The GeoGeo1+1 Queueing System with Negative Customers. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1008630
American Medical Association (AMA)
Ma, Zhanyou& Guo, Yalin& Wang, Pengcheng& Hou, Yumei. The GeoGeo1+1 Queueing System with Negative Customers. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1008630
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008630