Grid Job Routing Algorithms - Phosphorus

Grid Job Routing Algorithmstransmission through a nonlinear optical fiber (causing the same amount of distortion due to chromaticdispersion).The frequency chirping of the transmitter can be modelled by:∑ { ( )} Ni i i N⎛i1 − a lk k − a l ⎞γ ⎜1 ∑ { 1 } ⎟(21)k P D P= − − − + −i ia l e l D eSPM i i i iB i= 1 a a a k = i+1⎝Where k is the chirp parameter, B is the total chromatic dispersion of the link, N is the number of fibersegments, P the input power of each segment, D the chromatic dispersion, a the attenuation and l the length ofthe respective segment. The summation in (Eq.14) can be simplified to the summation of the following termseach one representing the fibers segments that formulate the link:i i⎠P D 1 − einSMF SMFI = Mγlspan SMF ⎜ −SMFaaISMF−aSMF SMF−al( 1 )( )inSMFSMF SMFM e D l D lM ( M + 1) P+ ⎜ − ⎟− +2 aSMFP+ γ − +a⎛⎝SMF DCF DCF post postSMF−al(SMF SMF1 )( )2inSMFM γe D l D lSMF DCF DCF SMF SMFSMFP D 1 − einDCF DCF+ MγlDCF ⎜ −DCFaa⎛⎝DCF⎛⎝⎞⎠l−aDCF⎞⎟⎠lDCF DCF2M ( M + 1) PinDCF+ ⎜ M − ⎟γ− e D l + D l2 aP+ γ −a−al( 1 )( )inDCFDCF DCFM e D l− a l(DCF DCF1 )( )DCF SMF SMF DCF DCFDCFDCF post postDCF0 PREPRE PRE ⎜ PREaPRE⎛⎝⎞⎠−aPRElPREP D ⎛ 1−e ⎞= γ l − ⎟⎝ aPRE⎠P+ γ − + +⎞⎟⎠−aPRElPRE( 1 e ){ M ( D l D l ) D l }0PRE SMF SMF DCF DCF post postaPRE(21)(22)IP D ⎛ e= γl −−aPOSTlPOST1−inPOST POSTPOST POST ⎜ POST⎟aPOST⎝ aPOST⎠ (23)⎞Project:PHOSPHORUSDeliverable Number: D.5.3Date of Issue: 31/06/07EC Contract No.: 034115Document Code: Phosphorus-WP5-D5.337