Efficient Routing of Permutations in Partitioned Optical Passive Stars Networks

Title: Efficient Routing of Permutations in Partitioned Optical Passive Stars Networks

Research Question: Can we develop an efficient method for routing permutations in Partitioned Optical Passive Stars (POPS) networks, which is applicable to all permutations and improves upon existing methods?

Methodology: We propose a novel method for routing permutations in POPS networks. Our approach is based on the concept of "super-slots," which allows us to combine multiple slots into one, effectively doubling the network's capacity. We also introduce the concept of "virtual channels," which enables us to route packets more efficiently.

Results: We have shown that our method can route any permutation in a POPS (d, g) network in at most 2 ⌈d/g⌉ slots, which is an improvement over existing methods. Our method is applicable to all permutations, making it a universal solution for routing in POPS networks.

Implications: Our research has significant implications for the field of parallel computing. Our efficient routing method can lead to faster communication times in POPS networks, which can improve the performance of parallel algorithms. Additionally, our method can be applied to other types of networks, making it a versatile and valuable tool for researchers in the field.

In conclusion, we have developed an efficient method for routing permutations in Partitioned Optical Passive Stars (POPS) networks. Our approach is based on the concept of "super-slots" and "virtual channels," which allow us to route packets more efficiently and effectively. Our method is applicable to all permutations and improves upon existing methods, making it a valuable tool for parallel computing.

Link to Article: https://arxiv.org/abs/0109027v1 Authors: arXiv ID: 0109027v1