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dc.contributor.authorLo, Yuan-Hsunen_US
dc.contributor.authorZhang, Yijinen_US
dc.contributor.authorChen, Yien_US
dc.contributor.authorFu, Hung-Linen_US
dc.contributor.authorWong, Wing Shingen_US
dc.date.accessioned2018-08-21T05:54:19Z-
dc.date.available2018-08-21T05:54:19Z-
dc.date.issued2017-08-01en_US
dc.identifier.issn0018-9448en_US
dc.identifier.urihttp://dx.doi.org/10.1109/TIT.2017.2710184en_US
dc.identifier.urihttp://hdl.handle.net/11536/145793-
dc.description.abstractData centers play an important role in today's Internet development. Research to find scalable architecture and efficient routing algorithms for data center networks has gained popularity. The fat-tree architecture, which is essentially a folded version of a Clos network, has proved to be readily implementable and is scalable. In this paper, we investigate routing on a fat-tree network by deriving its global packing number and by presenting explicit algorithms for the construction of optimal, load-balanced routing solutions. Consider an optical network that employs wavelength division multiplexing in which every user node sets up a connection with every other user node. The global packing number is basically the number of wavelengths required by the network to support such a traffic load, under the restriction that each source-to-destination connection is assigned a wavelength that remains constant in the network. In mathematical terms, consider a bidirectional, simple graph, G and let N subset of V(G) be a set of nodes. A path system P of G with respect to N consists of |N|(|N|-1) directed paths, one path to connect each of the source-destination node pairs in N. The global packing number of a path system P, denoted by Phi(G, N, P), is the minimum integer k to guarantee the existence of a mapping phi : P -> {1, 2, . . . , k}, such that phi(P) not equal phi((P) over cap) if P and (P) over cap have common arc(s). The global packing number of (G, N), denoted by Phi (G, N), is defined to be the minimum Phi (G, N, P) among all possible path systems P. In additional to wavelength division optical networks, this number also carries significance for networks employing time division multiple access. In this paper, we compute by explicit route construction the global packing number of (T-n, N), where T-n denotes the topology of the n-ary fat-tree network, and N is considered to be the set of all edge switches or the set of all supported hosts. We show that the constructed routes are load-balanced and require minimal link capacity at all network links.en_US
dc.language.isoen_USen_US
dc.subjectGlobal packing numberen_US
dc.subjectfat-tree networksen_US
dc.subjectClos networksen_US
dc.subjectlatin squaresen_US
dc.subjectload-balancingen_US
dc.titleThe Global Packing Number of a Fat-Tree Networken_US
dc.typeArticleen_US
dc.identifier.doi10.1109/TIT.2017.2710184en_US
dc.identifier.journalIEEE TRANSACTIONS ON INFORMATION THEORYen_US
dc.citation.volume63en_US
dc.citation.spage5327en_US
dc.citation.epage5335en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000405634400035en_US
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