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Page 2 Lecture Notes in Computer Science 2865 Edited by G. Goos ...

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54 M. Diha and S. Pierre3.3 Performance AnalysisThe performance analysis is based on the CMR (Call-to-Mobility Ratio). The CMR isthe average number of messages send to a user divided <strong>by</strong> the average number ofnetworks or subnets visited <strong>by</strong> the user <strong>in</strong> a given time stamp. The goal of the CMRanalysis is to determ<strong>in</strong>e the ratio <strong>by</strong> which the proposed model reduces the locationupdate and the tunnel<strong>in</strong>g times.CMRλ=µWhere λ is the average number of messages send to a user and µ the average numberof subnets or networks visited <strong>by</strong> the user between two consecutives messages.We def<strong>in</strong>e the follow<strong>in</strong>g parameters to compare the CMR <strong>in</strong> the Mobile IP and theproposed models:U cost for location update procedure execution <strong>in</strong> the Mobile IP model;L cost for tunnel<strong>in</strong>g procedure execution <strong>in</strong> Mobile IP model;u cost for location update procedure execution <strong>in</strong> the proposed model;l cost for tunnel<strong>in</strong>g procedure execution <strong>in</strong> the proposed model;T cost to cross a boundary between two subnets;U MIPtotal cost for the location update procedure <strong>in</strong> Mobile IP model;L MIPtotal cost for tunnel<strong>in</strong>g procedure execution <strong>in</strong> Mobile IP model;C MIPtotal cost for location update and tunnel<strong>in</strong>g procedures execution <strong>in</strong> MobileIP model;U PROPtotal cost for location update procedure <strong>in</strong> the proposed model;total cost for tunnel<strong>in</strong>g procedure execution <strong>in</strong> the proposed model;L PROPC PROPtotal cost for location update and tunnel<strong>in</strong>g procedures execution <strong>in</strong> the proposedmodel.The total costs are obta<strong>in</strong>ed as follows:U MIP=UCMR(1)(2)UCMIP = UMIP+ LMIP+ T = + L + TCMRCU PROP=uCMRu= UPROP+ LPROPT = + l + TCMRPROP+(3)(4)(5)

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