Article ID: | iaor1997374 |
Country: | United States |
Volume: | 7 |
Issue: | 3 |
Start Page Number: | 437 |
End Page Number: | 456 |
Publication Date: | Jul 1994 |
Journal: | Journal of Applied Mathematics and Stochastic Analysis |
Authors: | Stidham Shaler, El-Taha Muhammad |
Keywords: | local area network |
The authors extend the present studies of sample-path stability to multiserver input-output processes with conditional output rates that may depend on the state of the system and other auxiliary processes. The results include processes with countable as well as uncountable state spaces. The authors establish rate stability conditions for busy period durations as well as the input during busy periods. In addition, stability conditions for multiserver queues with possibly heterogeneous servers are given for the workload, attained service, and queue length processes. The stability conditions can be checked from parameters of primary processes, and thus can be verified