Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1142200 | Operations Research Letters | 2014 | 6 Pages |
Abstract
In this paper, we establish a new (direct) proof for existence and uniqueness of the fluid model for Gt/GI/N+GIGt/GI/N+GI queues proposed recently by Kang and Ramanan under mild conditions on the arrival, service and patience time distributions. In particular, the existence of the fluid model is established directly from the fluid model itself. Then main technique here is the application of two non-linear functional integral equations, one of which is of Volterra type.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Weining Kang,