Optimization of Service Time and Memory Space in a Self Stabilizing Token Circulation Protocol on Anonymous Unidirectional Rings

نویسنده

  • Colette Johnen
چکیده

We present a self stabilizing token circulation protocol on unidirectional anonymous rings This protocol does not required processor identi ers no distinguished processor i e all processors perform the same algorithm The algorithm can deal with any kind of schedulings even unfair ones Our protocol is a randomized self stabilizing meaning that starting from an arbitrary con guration in response to an arbitrary perturbation modifying the memory state it reaches with probability a legitimate con guration i e a con guration with only one token in the network Once the system is stabilized the circulation of the sole token is fair i e in every round every processor obtains the token once N token circulations are done in at most N computation steps where N is the ring size The memory space required by our algorithm on each processor O MN MN being the smallest non divisor of ring size In BGJ a it was been proven that the minimal memory space required by a self stabilizing token circulation under any unfair distributed scheduler is O MN Previ ous randomized self stabilizing token circulation protocols design to work under unfair distributed schedulers require O N memory space or they have not bound on the service time i e duration of a token round Thus we present the rst protocol having the two major advantages a bounded service time and optimal in memory space

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تاریخ انتشار 2002