Title :
Performance Analysis of Discrete-Time Erlang Loss System
Author :
Tian, Naishuo ; Liu, Mingxin ; Ma, Zhanyou ; Xu, Xiuli
Author_Institution :
Dept. of Math., Yanshan Univ., Qinhuangdao
Abstract :
We study a discrete-time Geom/Geom/c/c Erlang loss system. In this queueing system, we give the function equation that the generating function of the number of customers satisfies in steady-state system, and get the formula of stationary mean queue length. Furthermore, we derive recursive method to compute stationary queue length probability and loss probability. Finally, using a numerical example, we exemplify the relation between loss probability, the mean number of customers and various parameters
Keywords :
discrete time systems; queueing theory; discrete-time Erlang loss system; function equation; loss probability; queueing system; recursive method; stationary mean queue length; stationary queue length probability; steady-state system; Communication networks; Computer networks; Educational institutions; Equations; Information science; Mathematics; Performance analysis; Queueing analysis; Steady-state; Telecommunication computing;
Conference_Titel :
System Theory, 2006. SSST '06. Proceeding of the Thirty-Eighth Southeastern Symposium on
Conference_Location :
Cookeville, TN
Print_ISBN :
0-7803-9457-7
DOI :
10.1109/SSST.2006.1619041
