Exactly capturing the minimum available time for a network node to transmit its synchronous messages during any given length of time is important for guaranteeing the transmission of synchronous messages before their deadlines in a timed token ring network (such as FDDI) where the timed token medium access control protocol is used. Previous results which only give a lower bound on the minimum transmission time could be too pessimistic for supporting the timely delivery of synchronous traffic in a hard real-time communication environment. This paper presents an 0(n)-time algorithm for exactly determining the minimum available transmission time. The algorithm can be used to test whether or not a given allocation of synchronous band widths can guarantee a synchronous message set with message deadlines no more than periods; the test so formed is better than any previous testing method whose test is sufficient only, in the sense that it is both sufficient and necessary and therefore optimal.
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BibTex Entry

@inproceedings{Zhang2000,
 address = {York, England},
 author = {S. Zhang and E. Lee and A. Burns and H. Yang},
 booktitle = {Proceedings of the 11th Euromicro Conference on Real-Time Systems},
 category = {scheduling},
 pages = {185 - 194},
 publisher = {IEEE Society Press},
 title = {Finding the Minimum Available Transmission Time for the Timed Token Medium Access Control Protocol},
 year = {2000}
}