Xor-Implications and E-Implications: Classes of Fuzzy Implications Based on Fuzzy Xor
Electronic Notes in Theoretical Computer Science (ENTCS)
Trie Partitioning in distributed PC based routers
COMSNETS'09 Proceedings of the First international conference on COMmunication Systems And NETworks
On the associative property of fuzzy Xor connectives
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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An IP router must forward packets at gigabit speed in order to guarantee a good quality of service. Two important factors make this task a challenging problem: (i) for each packet, the longest matching prefix in the forwarding table must be quickly computed; (ii) the routing tables contain several thousands of entries and their size grows significantly every year. Because of this, parallel routers have been developed which use several processors to forward packets. In this work we present a novel algorithmic technique which, for the first time, exploits the parallelism of the router also to reduce the size of the routing table. Our method is scalable and requires only minimal additional hardware. Indeed, we prove that any IP routing table T can be split into two subtables T1 and T2 such that: (a) |T1| can be any positive integer k ≤ |T| and |T2| ≤ |T| - k + 1; (b) the two routing tables can be used separately by two processors so that the IP lookup on T is obtained by simply XOR-ing the IP lookup on the two tables. Our method is independent of the data structure used to implement the lookup search and it allows for a better use of the processors L2 cache. For real routers routing tables, we also show how to achieve simultaneously: (a) |T1| is roughly 7% of the original table T; (b) the lookup on table T2 does not require the bestmatching prefix computation.