It is shown that a Partitioned Optical Passive Stars (POPS) network with g groups and d processors per group can route any permutation among the n = dg processors in one slot when d = 1 and 2 d/g slots when d > 1. The number of slots used is optimal in the worst case, and is at most the double of the optimum for all permutations π such that π ́(i) \neq i, for all i.
Routing Permutations in Partitioned Optical Passive Star Networks
RIZZI, ROMEO
2002-01-01
Abstract
It is shown that a Partitioned Optical Passive Stars (POPS) network with g groups and d processors per group can route any permutation among the n = dg processors in one slot when d = 1 and 2 d/g slots when d > 1. The number of slots used is optimal in the worst case, and is at most the double of the optimum for all permutations π such that π ́(i) \neq i, for all i.
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