The issue of guaranteed efficiency in closed reentrant networks is examined. We provide necessary and almost sufficient conditions for the guaranteed efficiency of any balanced two station closed reentrant network. The necessary conditions arise from the examination of virtual stations and it is shown that a special type of virtual station is related to certain indices arising from a heavy traffic Brownian motion approximation of the network. Utilizing the necessary and almost sufficient conditions for guaranteed efficiency, we show that neither an open nor closed network configuration can guarantee a greater throughput.
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - 1997|
|Event||Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA|
Duration: Dec 10 1997 → Dec 12 1997