Heavy traffic limit theorems for a sequence of shortest queueing systems |
| |
| Authors: | Hanqin Zhang Guang -Hui Hsu Rongxin Wang |
| |
| Affiliation: | (1) Institute of Applied Mathematics, Academia Sinica, Beijing, PR China;(2) Department of Mathematics, Xian Jiaotong University, Xian, PR China |
| |
| Abstract: | A sequence of shortest queueing systems is considered in this paper. We give weak convergence theorems for the queue length and waiting time processes when the sequence of traffic intensities associated with the sequence of shortest queueing systems approaches the critical value ( =1) at appropriate rates.Research supported by the National Natural Science Foundation of China. |
| |
| Keywords: | Queueing system heavy traffic reflecting Brownian motion weak convergence |
| 本文献已被 SpringerLink 等数据库收录！ |
