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Ahmed Louri, Brent Weech, Costas Neocleous, "A Spanning Multichannel Linked Hypercube: A Gradually Scalable Optical Interconnection Network for Massively Parallel Computing," IEEE Transactions on Parallel and Distributed Systems, vol. 9, no. 5, pp. 497512, May, 1998.  
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@article{ 10.1109/71.679219, author = {Ahmed Louri and Brent Weech and Costas Neocleous}, title = {A Spanning Multichannel Linked Hypercube: A Gradually Scalable Optical Interconnection Network for Massively Parallel Computing}, journal ={IEEE Transactions on Parallel and Distributed Systems}, volume = {9}, number = {5}, issn = {10459219}, year = {1998}, pages = {497512}, doi = {http://doi.ieeecomputersociety.org/10.1109/71.679219}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Parallel and Distributed Systems TI  A Spanning Multichannel Linked Hypercube: A Gradually Scalable Optical Interconnection Network for Massively Parallel Computing IS  5 SN  10459219 SP497 EP512 EPD  497512 A1  Ahmed Louri, A1  Brent Weech, A1  Costas Neocleous, PY  1998 KW  Interconnection networks KW  scalability KW  massively parallel processing KW  optical interconnects KW  wavelength division multiplexing KW  product networks. VL  9 JA  IEEE Transactions on Parallel and Distributed Systems ER   
Abstract—A new, scalable interconnection topology called the Spanning Multichannel Linked Hypercube (SMLH) is proposed. This proposed network is very suitable to massively parallel systems and is highly amenable to optical implementation. The SMLH uses the hypercube topology as a basic building block and connects such building blocks using twodimensional multichannel links (similar to spanning buses). In doing so, the SMLH combines positive features of both the hypercube (small diameter, high connectivity, symmetry, simple routing, and fault tolerance) and the spanning bus hypercube (SBH) (constant node degree, scalability, and ease of physical implementation), while at the same time circumventing their disadvantages. The SMLH topology supports many communication patterns found in different classes of computation, such as busbased, meshbased, and treebased problems, as well as hypercubebased problems. A very attractive feature of the SMLH network is its ability to support a large number of processors with the possibility of maintaining a constant degree and a constant diameter. Other positive features include symmetry, incremental scalability, and fault tolerance. It is shown that the SMLH network provides better average message distance, average traffic density, and queuing delay than many similar networks, including the binary hypercube, the SBH, etc. Additionally, the SMLH has comparable performance to other highperformance hypercubic networks, including the Generalized Hypercube and the Hypermesh. An optical implementation methodology is proposed for SMLH. The implementation methodology combines both the advantages of free space optics with those of wavelength division multiplexing techniques. A detailed analysis of the feasibility of the proposed network is also presented.
[1] K. Hwang, Advanced Computer Architecture: Parallelism, Scalability, Programmability. McGrawHill, 1993.
[2] H.J. Siegel, Interconnection Networks for LargeScale Parallel Processing, Second Ed., McGrawHill, New York, 1990.
[3] H.S. Stone and J. Cocke, "Computer Architecture in the 1990s," Computer, vol. 24, no. 9, pp. 3038, Sept. 1991.
[4] A. Louri and H. Sung, "3D Optical Interconnects for HighSpeed Interchip and Interboard Communications," Computer, vol. 27, no. 10, pp. 2737, Oct. 1994.
[5] L.M. Ni and P.K. McKinley, "A Survey of Wormhole Routing Techniques in Direct Networks," Computer, vol. 26, no. 2, pp. 6276, Feb. 1993.
[6] S. Felperin, L. Gravano, G. Pifarre, and J. Sanz, "Fullyadaptive routing: Packet switching performance and wormhole algorithms," Proc. Supercomputing '91, pp. 654663, 1991.
[7] J. Kim and C.R. Das, “Hypercube Communication Delay with Wormhole Routing,” IEEE Trans. Computers, vol. 43, no. 7, pp. 806814, July 1994.
[8] Y. Saad and M. Schultz, "Topological Properties of Hypercubes," IEEE Trans. Computers, vol. 37, no. 7, pp. 867872, July 1988.
[9] K. Ghose and K.R. Desai, "Hierarchical Cubic Networks," IEEE Trans. Parallel and Distributed Systems, vol. 6, no. 4, pp. 427435, Apr. 1995.
[10] J.M. Kumar and L.M. Patnaik, "Extended Hypercube: A Hierarchical Interconnection Network of Hypercubes," IEEE Trans. Parallel and Distributed Systems, pp. 4557, 1992.
[11] N.F. Tzeng and S. Wei, “Enhanced Hypercubes,” IEEE Trans. Computers, vol. 40, no. 3, pp. 284294, Mar. 1991.
[12] L.N. Bhuyan and D.P. Agrawal, "Generalized Hypercube and Hyperbus Structures Constructing Massively Parallel Computers," IEEE Trans. Computers, vol. 33, pp. 323333, 1984.
[13] Q.M. Malluhi and M.A. Bayoumi, "The Hierarchical Hypercube: A New Interconnection Topology for Massively Parallel Systems," IEEE Trans. Parallel and Distributed Systems, vol. 5, no. 1, pp. 1730, Jan. 1994.
[14] C. Chen, D.P. Agrawal, and J.R. Burke, "dBCube: A New Class of Hierarchical Multiprocessor Interconnection Networks with Area Efficient Layout," IEEE Trans. Parallel and Distributed Systems, vol. 4, no. 1, pp. 1,3321,344, Jan. 1993.
[15] K. Efe, “The Crossed Cube Architecture for Parallel Computing,” IEEE Trans. Parallel and Distributed Systems, vol. 3, no. 5, pp. 513524, Sept.Oct. 1992.
[16] J.R. Goodman and C.H. Sequin, "Hypertree: A Multiprocessor Interconnection Topology," IEEE Trans. Computers, vol. 30, pp. 923933, 1981.
[17] A. Louri and H. Sung, "A Scalable Optical HypercubeBased Interconnection Network for Massively Parallel Computing," Applied Optics, vol. 33, pp. 7,5887,598, Nov. 1994.
[18] A. Louri and H. Sung, "An Optical MultiMesh Hypercube: A Scalable Optical Interconnection Network for Massively Parallel Computing," IEEE J. Lightwave Technology, vol. 12, pp. 704716, Apr. 1994.
[19] A. Louri and S. Furlonge, "Feasibility Study of a Scalable Optical Interconnection Network for Massively Parallel Processing Systems," Applied Optics, vol. 35, pp. 1,2961,308, Mar. 1996.
[20] A. Louri, S. Furlonge, and C. Neocleous, "Experimental Demonstration of the Optical MultiMesh Hypercube: A Scalable Interconnection Network for Multiprocessors and Multicomputers.," Applied Optics, vol. 35, no. 35, pp. 6,9096,920, Dec. 1996.
[21] L.D. Wittie, "Communication Structures for Large Networks of Microcomputers," IEEE Trans. Computers, vol. 30, no. 4, pp. 264273, Apr. 1981.
[22] G. Lerman and L. Rudolph, Parallel Evolution of Parallel Processors.New York: Plenum Press, 1993.
[23] M.R. Feldman, C.C. Guest, T.J. Drabik, and S.C. Esner, "Comparison Between Electrical and Free Space Optical Interconnects for Fine Grain Processor Arrays Based on Connection Density Capabilities," Applied Optics, vol. 28, pp. 3,8203,829, 1989.
[24] J.W. Goodman, F.J. Leonberger, S.Y. Kung, and R.A. Athale, "Optical Interconnections for VLSI systems," Proc. IEEE, vol. 72, pp. 850866, July 1984.
[25] D.M. Chiarulli, S.P. Levitan, R.G. Mehlen, M. Bidnurkar, R. Ditmore, G. Gravenstreter, Z. Guo, C. Qiao, M.F. Sakr, and J.P. Teza, "Optoelectronic Buses for HighPerformance Computing," Proc. IEEE, vol. 82, no. 11, pp. 1,7011,710, Nov. 1994.
[26] P.W. Dowd, "Wavelength Division Multiple Access Channel Hypercube Processor Interconnection," IEEE Trans. Computers, vol. 41, no. 10, pp. 1,2231,241, Oct. 1992.
[27] Y. Li, A.W. Lohmann, and S.B. Rao, "FreeSpace Optical Meshconnected Bus Networks Using WavelengthDivision Multiple Access," Applied Optics, vol. 32, pp. 6,4256,437, 1993.
[28] P.B. Berra, A. Ghafoor, M. Guizani, S.J. Marcinkowski, and P.A. Mitkas, "Optics and Supercomputing," Proc. IEEE, vol. 77, pp. 1,7971,815, Dec. 1989.
[29] D.S. Miller, "Optics for Low Energy Communication Inside Digital Processors: Quantum Detectors, Sources, and Modulators as Efficient Impedance Converters," Optics Letters, vol. 14, pp. 146148, 1989.
[30] A.A. Sawchuk, C.S. Raghavandra, B.K. Jenkins, and A. Varma, “Optical Crossbar Networks,” IEEE Computer, vol. 20, no. 6, pp. 50–62, June 1987.
[31] D.P. Agrawl, C. Chen, and J.R. Burke, "A Comparison of Hybrid Graph Based Topologies," IEEE Computer Society Techinal Committee on Computer Architecture Newsletter, E.F. Gehringer, ed., pp. 58, Winter 199495.
[32] V. Kumar, A. Grama, A. Gupta, and G. Karypis, Introduction to Parallel Computing: Design and Analysis of Algorithms. Benjamin Cummings, 1994.
[33] T. Szymanski, "Hypermeshes: Optical Interconnection Networks for Parallel Computing," J. Parallel and Distribted Computing, vol. 26, pp. 123, 1995.
[34] D. Reed and R. Fujimoto, Multicomputer Networks: MessageBased Parallel Processing. MIT Press, 1987.
[35] F.P. Preparata and J. Vuillemin, “The CubeConnected Cycles: A Versatile Network for Parallel Computation,” Comm ACM, vol. 24, no. 5, pp. 300309, 1981.
[36] E. Ganesan and D.K. Pradhan,“The hyperde Bruijn multiprocessor networks: Scalable versatile architecture,” IEEE Trans. Parallel and Distributed Systems, vol. 4, no. 9, pp. 962978, Sept. 1993.
[37] S.R. Öhring and S.K. Das, "The Folded Petersen Cube Network: New Competitors for the Hypercubes," IEEE Trans. Parallel and Distributed Systems, vol. 7, no. 2, pp. 151168, Feb. 1996.
[38] L. Klienrock, Queueing Systems: Vol. II, Computer Applications.New York: Wiley, 1976.
[39] P. Sweazey, "Limits of Performance of Backplane Buses," Digital Bus Handbook.New York: McGrawHill, 1990.
[40] A.D. McAulay, Optical Computer Architectures: The Application of Optical Concepts to Next Generation Computers. John Wiley and Sons, 1991.
[41] A. Louri and H. Sung, "Efficient Implementation Methodology for ThreeDimensional SpaceInvariant HypercubeBased FreeSpace Optical Interconnection Networks," Applied Optics, vol. 32, pp. 7,2007,209, Dec. 1993.
[42] A. Cisneros and C.A. Brackett, "A Large ATM Switch Based on Memory Switches and Optical Star Couplers," IEEE J. Selected Areas Comm., vol. 9, pp. 1,3481,360, Oct. 1991.
[43] P.F. Moulton, "Tunable Solid State Lasers," Proc. IEEE, vol. 80, pp. 348364, Mar. 1992.
[44] B.D. Metcalf and J.F. Providakes, "HighCapacity Wavelength Demultiplexer with a LargeDiameter GRIN Rod Lens," Applied Optics, vol. 21, pp. 794796, 1982.
[45] F.N Tinofeev, P. Bayvel, J.E. Midwinter, and M.N. Sokolskii, "HighPerformance, FreeSpace Ruled Concave Grating Demultiplexer," Electronics Letters, vol. 31, pp. 2,2002,201, Dec. 1995.
[46] F.N Tinofeev, P. Bayvel, J.E. Midwinter, M.N. Sokolskii, E.G Churin, and A. Stavdas, "FreeSpace AberrationCorrected Grating Demultiplexer for Application in DenselySpaced, Subnanometer WavelengthRouted Optical Networks.," Electronics Letters, vol. 31, pp. 1,3681,370, Aug. 1995.
[47] T.V. Moui, "Receiver Design for HighSpeed Optical Fiber Systems," IEEE J. Lightwave Technology, pp. 243267, 1984.
[48] D. Israel, R. Baets, M.J. Goodwin, N. Shaw, M.D. Salik, and C.J. GrovesKirkby, "Comparison of Different Polymetric Multimode Star Couplers for Backplane Optical Interconnect," IEEE J. Lightwave Technology, vol. 13, pp. 1,0571,064, June 1995.
[49] R.A. Morgan, "Advances in Vertical Cavity Surface Emitting Lasers," Proc. SPIE, vol. 2,147, pp. 97119, 1994.
[50] A. Takai, T. Kato, S. Yamashita, S. Hanatani, Y. Motegi, K. Ito, H. Abe, and H. Kodera, "200Mb/s/ch 100m Optical Subsystem Interconnections Using 8channel 1.3 m Laser Diode Arrays and SingleMode Fiber Arrays," IEEE J. Lightwave Technology, vol. 12, pp. 260269, Feb 1994.
[51] N.K. Shankaranarayanan, U. Koren, B. Glance, and G. Wright, "TwoSection dBr Laser Transmitters with Accurate Channel Spacing and Fast ArbitrarySequence Tuning for FDMA Networks," Technical Digest of Fiber Optical Comm., pp. 3637.Washington, DC: Optical Soc. of America, 1994.