High-speed crosstalk-free routing for optical multistage interconnection networks

Parallel routing and wavelength assignment for optical multistage interconnection networks

“…4 (a) and (b)). An Ò-dimensional [11], Thus, the rout- Considering our routing and wavelength assignment algorithm for a WRSR ´AE µ, we can see that the total time for routing on À´AE ¾µ only depends on the decomposition algorithm [10], which can be implemented in Ç´ÐÓ ¿ AEµ time on À´AE ¾µ since each pointer jumping step on a completely connected multiprocessor system can be imple- Therefore, when our routing and wavelength assignment algorithm for a WRSR ´AE µ is implemented on À´AE ¾µ, it has a slowdown factor of Ç´ÐÓ AEµ and its time complexity is Ç´ÐÓ AEµ.…”

“…Benes networks are space-division-multiplexing rearrangeable nonblocking. By [10,26], we know that each permutation can be decomposed into two crosstalk-free partial permutations so that each CF partial permutation can be routed in an optical Benes network simultaneously. Hence, if we assign the same wavelength to the connections in the same CF partial permutation and assign the different wavelengths to the connections in different CF partial permutations, two wavelengths are sufficient for a WRSR ´AE µ in which SEs may contain non-basic states.…”

“…Our routing and wavelength assignment algorithm uses the permutation decomposition algorithm of [10] as a subalgorithm and the vertex coloring technique similar to that of [4] We define a wavelength class as the set of connections assigned the same wavelength. A wavelength is called a free wavelength for a connection if is not assigned to any connection conflicting with .…”

“…In [10], we presented a parallel permutation decomposition algo-rithm to decompose a partial permutation into two partial semi-permutations and proved the following lemma 2 . The parallel decomposition algorithm of [10] is equivalent to an algorithm that finds a ¾-edge coloring of a bipartite graph with ¡´ µ ¾, where ¡´ µ is the degree of , the maximum number of edges incident at a vertex.…”

The Development of Crosstalk-Free Scheduling Algorithms for Routing in Optical Multistage Interconnection Networks

“…It involve the switching of optical signals, rather than electronic signals as in conventional electronic systems. A hybrid OMIN can be built from electro-optic SEs such as common Lithium Niobate (LiNbO 3 ) directional coupler with two inputs and two outputs (Yang, et al, 2000 andLu, et al, 2003). OMIN has been an attractive solution that offers a combination of high bandwidth, low error probability, and large transmission capacity in the design of high-speed communication networks and switches (Lu, et al, 2003).…”