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Wavelength Assignment Algorithms on Trees of Rings under Different Communication Models
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    Abstract:

    This paper studies wavelength assignment algorithms on WDM all-optical trees of rings under different models: static, incremental and dynamic. It is shown that 5L/2 is the tight bound of the number of required wavelengths for static trees of rings with load L. This paper also proposes an O[log2(t+1)]-approximation and a ∑i=1hmaxr∈Ri[log | V(r)|] +h-approximation algorithm for incremental and dynamic trees of rings respectively, where t,h and Ri are the number of rings, the number of the layers of the underlying tree and the set of rings of layer i in the network respectively.

    Reference
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    [2]Gerstel O,Kutten S.Dynamic wavelength allocation in WDM ring networks In:Proc.of the ICC'97.1997.432-436.
    [3]Li GZ,Simha G.On bounds for the wavelength allocation problem on optical ring networks Journal of High Speed Networks,1999,8(4):303-310.
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    [6]Xu YL,Chen GL,Huang LS,Wan YY.Optimal bandwidth utilization of all-optical ring with a converter of degree 4 Journal of Computer Science & Technology,2002,17(4):411-419.
    [7]Wan YY,Chen GL,XuYL,Gu J.Wavelength assignment on all optical ring with fixed wavelength converters.Journal of Software,2002,13(8):1456-1464 (in Chinese with English abstract).http://www.jos.org.cn/1000-9825/13/1456.pdf
    [8]Kaklamanis SC,Persiano G,Erlebach T,Jansen K.Constrained bipartite edge coloring with applications to wavelength routing In:Proc.of the 24th Int'l Colloquium on Automata,Languages and Programming (ICALP'97) LNCS1256,Springer-Verlag,1997.493-504.
    [9]Erlebach T,Jansen K,Kaklamanis C,Persiano P.Optimal wavelength routing on directed fiber trees Theoretical Computer Science,1999,211:119-137.
    [10]Kumar E,Schwabe E.Improved access to optical bandwidth in trees In:Proc.of the 8th Annual ACM-SIAM Symp.on Discrete Algorithm (SODA)'97.1997.437-444.
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    [12]Deng XT,Li GJ,Zang WA.Wavelength allocation on tree of rings NETWORKS,2000,35(4):248-252.
    [13]Lu X,Chen J,He S.Wavelength assignment method for WDM network of star topology.Electronics Letters,2004,40(10):625-626.
    [14]Lu X,He S.Wavelength assignment forWDM ring.Electronics Letters,2003,39(19):1400-1402.
    [15]Li GZ,Simha R.On the wavelength assignment problem in multifiber WDM star and ring networks.IEEE/ACM Trans.on Networking,2001,9(1):60-68.
    [7]万颖瑜,陈国良,许胤龙,顾钧.有固定波长转换器的全光环网波长分配算法.软件学报,2002,13(8):1456-1464.http://www.jos.org.cn/1000-9825/13/1456.pdf
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许胤龙,王启华,陈国良.不同通信模型下的全光树环网波长分配算法.软件学报,2006,17(2):200-208

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History
  • Received:June 23,2003
  • Revised:July 08,2005
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