Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
An introduction to photonic switching fabrics
An introduction to photonic switching fabrics
Banyan networks for partitioning multiprocessor systems
ISCA '73 Proceedings of the 1st annual symposium on Computer architecture
Blocking behaviors of crosstalk-free optical Banyan networks on vertical stacking
IEEE/ACM Transactions on Networking (TON)
Wide-sense nonblocking Banyan-type switching systems based on directional couplers
IEEE Journal on Selected Areas in Communications
IEEE Journal on Selected Areas in Communications
NPC'07 Proceedings of the 2007 IFIP international conference on Network and parallel computing
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A combination of horizontal expansion and vertical stacking of optical banyan (HVOB) is the general scheme for building banyan-based optical switching networks. The HVOB networks usually require either higher hardware cost or larger depth to guarantee the nonblocking property. In this paper, we analyse the blocking probabilities of HVOB networks with one extra stage and develop their upper bound. The bound depicts accurately the overall blocking behaviours of HVOB networks and reveals the inherent relationships among blocking probability, network depth and network hardware cost and enables a desirable tradeoff to be made among them.