Abstract
Four variants of elastic optical data center network (DCN) architectures based on optical circuit switching were proposed in an earlier study. The necessary and sufficient values of frequency slot units (FSUs) per fiber required for these four DCNs in the sense of there being strictly nonblocking (SNB) were derived, but no results in the sense of being rearrangeable nonblocking (RNB) were presented. In reality, only limited bandwidths are available, and reducing the value of FSUs per fiber has become a critical task to realize nonblocking optical DCN architectures in practice. In this paper, we derive the sufficient value of FSUs per fiber required for the four DCNs to be RNB by two multigraph approaches. Our results show that the proposed RNB conditions in terms of FSUs per fiber for a certain two of the four DCNs reduce their SNB results down to at least half for most cases, and even down to one-third.
Highlights
High transmission speed between the servers in data centers [1] has become an increasing requirement to meet the needs of current applications such as cloud computing and data mining.To support such high transmission speed, various data center network (DCN) architectures have been proposed [1,2,3,4]
In order to derive the sufficient value of k for a DCN1(r, q, k) network in the sense of being rearrangeable nonblocking (RNB), we order to derive the sufficient value of k for a DCN1(r, q, k) network in the sense of being RNB, we propose a multigraph approach and a routing algorithm in the following
To reduce the value of frequency slot units (FSUs), we considered the four DCNs in the sense of their being RNB in this paper
Summary
High transmission speed between the servers in data centers [1] has become an increasing requirement to meet the needs of current applications such as cloud computing and data mining. The maximum number of connections generated from each input fiber in the four DCNs and W-S-W networks is limited due to the different components used. This leads to the nonblocking conditions derived for these four DCNs being different from those derived for W-S-W networks. A network is called strictly nonblocking (SNB) if a connection will never be blocked by existing. In order to reduce the value of FSUs to realize nonblocking optical architectures practice, we studied the four in thein sense being in RNB this paper, derived sufficient in practice, we studied the DCNs four DCNs the of sense ofRNB being in thisand paper, andthe derived the number.
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