Deterministic Routing to Buffered Channels

Zvi Rosberg

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Consider n exponential transmission channels which transmit information with different rates. Every channel has a buffer which is capable of storing an unlimited number of messages. A new message first arrives at the controller, which immediately routes it to one of the channels according to an infinite deterministic routing sequence. A cost per unit of staying time is charged in each of the channels (channel dependent cost), and the long-run average staying cost is taken as the cost criterion. For every n and a Poisson arrival process, a lower bound to the cost is found and a new routing policy, the golden ratio policy, is presented and its cost is evaluated. It is shown that for a variety of system parameters, the golden ratio routing policy has a cost the lower bound.

Original languageEnglish
Pages (from-to)504-507
Number of pages4
JournalIEEE Transactions on Communications
Issue number5
StatePublished - 1 Jan 1986
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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