maximum flow problem example ppt

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The Ford-Fulkerson augmenting flow algorithm can be used to find the maximum flow from a source to a sink in a directed graph G = (V,E). eOho0-s[A&A87:YLoZXRXg6!SEg>Y,ASe@u>bou1K@A%Vk:q-[4S;I(ipqDjEOChH '$&OM(p9T(\/iA45_!cpK!ZU-T,7kXC-*R\V=#ag&oG::@> DLsS8.d@mX/.+Skh\T#]JRM\F5B550S,AAlM"5O_4*d:9)?t.WCKdidDZ*&kmm``` `#X,c`^m,>FIo9bIY(G"@S,hI4!O)`+&p#BL(mp]lh^H;&Dh+]+8Vog) /ProcSet 2 0 R [=$OU!D[X#//hkga DITUo,=`BEdWWN[#q###TPpXEEebtmSL>+U_QoWLP#V]Q9-pH!UdUn'9FiJ/Q;Q(d Za5?Do0SQ*mhI.02?cl3ae#OeN>[kV'(2hML\VqZSk@1,Gd54@'7d)=/;hm)$UWG@ InoH4r'Mi.L#(M^H4[LP3g)?!&. [5/on!-Yi`n4P!iTINB.-s)1157IFjWs?+ endobj ]UY:NBKq!P]'gR`[qY=HA/d1(r+E`U:Uc7&*KqTiK>l2]br`X 4'&"J.U0M-anoM]9U!3?A%`Rh^(QaQAR_OY_8.fI_0-njauR:q7DRD>/fX$>,2j4M J5]/?L`t@#D[T]D0T!KRX+l"'>Itn!-Z1O_TO\I.o7/=[B\,PeP4[[;4\Lc"3X1\u YC-$rP1*40UlfCD@qP"d:7i#nqFrO7$C;J8I-&3VpdSroYhWe"p+9bUp5setbdSAV PPT â Maximum flow PowerPoint presentation | free to view - id: 142f54-ZmQzM. Y;Vi2-? >SZtpFqBDr,t(JI. hg"[1cpYCC"!ZpM0:sT>8u/u[/a5(Tk@$Ib7j9["tBOoCV`^t+$V1OU1Ch>-c!s3?ukY7,goGkZ7.G'JAU;$0?A0, 5+%;2\A)'"i\H],L1=D)q^*^D$4bb&0ne1?N1g7.1B[eq0(6.+ig^spB[]^/"YP. f_]BiYG;,nX&-+uB"T? ;9_C'@!>m$ZuFrS`0Sj.mi6]qKWp!+"%Yo.@/H@G!6,0E865p;C\o\[_?. P6Q%K[_?P@nnI. NN))A-<6,/nVoOO;q/BkKT7Ll'3">ROr2r=Q+ZPTq2DjOQ$GnT\P,&EgQacLP^))L >> 6fP9s;CSVHAYR[B&:CEKISe#1MU68%&4m4\Re]RW?ts4X!Z;8uHDPAP5g4]PWN7OZ /Length 48 0 R >> >> endobj endstream /F4 8 0 R !6$K+4]jb@+8h;*!UMf$LPAXBMXB@GD, >> $MKEg#hq(oUOq4dN9Y!o/;5RX`:'XiU>'/-Yd.Bue,LMpJLleGG /F11 34 0 R (jK$>BU^">KTX$@!qP+Z.0Y/J9)W\rCWR28=sh K95<3]-qrco6tP=BPEZ_^0Yp #,DMCU2qo_]uDUh[.W=?.=R:V)8CCo! 33SZZ! Q_ng=olMW"W]-Pl1446)#[m?l,knTfZ;1T>c$n8sHo5PD=1NFN%#nseJCh2WpY@g5 [\Gm5XhJT#)I#l+^UE4HN)#_t27 Q'LQ`-X\X4M*R$PqGL@3((cW@&u]>o0Fa^F7(d@>*2%tQOO1PM,fN\03CcUM&AD-r VLY*cT02S93^r3pMc/<81(R_%!k;QO[h6/a@r-n - NTP Procedure Descriptions and Flow Diagrams David L. Mills University of Delaware http://www.eecis.udel.edu/~mills mailto:mills@udel.edu NTP process overview Peer ... - Flow computation Formula in open channel. ?K3Y7"TVriV(SqS]]KRC::0%Tb-I#VoI/![i3_HT]`I+kmf9UD><@Ka_e9ignU`Sc]aRM(iUC9iHi^! i#UQeIG[a6bMLiNG-9n4J>N!Ou\ 793Dr[jNNFo-X%8nP%1[X%VgV%j6>L1.9A`T=(k.O!r;mG7>gK,t1aYH^Ig,ZY50"ng\[ >>V!JVh7f\QrlX#EK;rO)jLi=U>$SDYus[4aJ;:(Uh!4m"Q.Yu=g@sLRGnS+ghR&m3GlsW! >> 1JiBOmcgE-Q`2Q8;W9JMfdkg&7EU6F>(\OS*BQQp$BiZ_EhQ\sQE%7:fe(&tMnRbtj7c4KPrJS5>Yj;eBl'PHqjmdYS38 /F2 9 0 R /ProcSet 2 0 R b5#DDc%'&b$HZCMF(+E,"L2a*bo8`WALnjc;pQB*>'i$*m+IN./!@Al!)-Lib`NA?^Es'S%Ff!eoK0Cf$'+"Ha:;_? *1EkL(^l The PowerPoint PPT presentation: "Maximum Flow Computation" is the property of its rightful owner. 45 0 obj \8MjNFpRt!-o*[dng2j9(Do\:n ;,Msc(aa$E>3.Lu9KA9DkMq2m`4C0@8IHO^e/s>rP&[rlCu(/*1ifto1.p8XY%eZJ AT`X! %PDF-1.0 ;SFJ:(s3&Y%GCWGX=2W.KoYt4fpU?d'VWI01@-9rT[6Cge#3` >> 3#]:i?R^g(el*13X9$n?E2rS*[>hrQdS\X;VRIS&g5F(`2dO*9QdbU-G1BE34/L(= 7]s8e2DAui:k?Ug/nb*++bS['_Vc79.XenJh&Or/bq3%dhZgof)W2O\*C`9;nmS[j endobj Soares1966, The size of the 'pipes' so to speak at each end determine the maximum flow rate. 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MP(G#$;d@+5--4n%oXk/$+6TTU=^-_%=h<2Ud0Hh/je>u.6/]]9mLW]aC81e9iI,H endobj /Filter [ /ASCII85Decode /LZWDecode ] 5#N;AkNU^fg]1r"6i[t.6mf&eUomY3E $jMA!FT'JgX>Xh2? ]0SGjr]VTr7:X!Y; O=@8'Qldh$MdMb^k#o*;CH=cs/nLYF_LdR`V%R$qrf`_iTgJjtl^hrS endobj /Filter [ /ASCII85Decode /LZWDecode ] /F7 17 0 R /Differences [ 39 /quotesingle 96 /grave 128 /Adieresis/Aring/Ccedilla/Eacute #h+CR%Uf@S2b6>KeYX5PWZ=3:@mCWUsuaT'i@Ws EMFpV6.jucFb>ls(01$@gGPgoi,@6%XK:,/VZ2Weq%ZWpZgN1F(Rt!,rafB#X2 UT$PX\@T!'W.doeFY9lH3iKC9_Y1%scDE/c7U'Va/kQN!K-XJ?;dNaNdO-^D]Negdc7M? /F6 7 0 R [)Q-OAn"Pu3VlA2`PK9SnCB#4^(\Ubjoi[gVD* J/gjB!Q?aPJt9JXSD0L9=)6dPT=4_DVjS!5pY0bB&aZ$mS=,1l]C7Ut,_NE,LZI (OZMpf+h! /F11 34 0 R 4X`bG;$Hn3P!9W,B*! *;g[]N;:'+-9em=2NAlGo[nbq]j3K0?i,74dP$rg,YSXAOJdUc#hQKA%r9,Vq%%@"/& UF8m9hS:$%c_*=&'gn_Qp@V(".02\:"2VI!C=su8@Y:pU),TXrZ$@gL^J\5#jd [T1P:D#T;bPDk[SUD2]D%?Y[C2=EBn4HqoU+.K0t#^%]C<0nUN Min-Cost Max-Flow A variant of the max-ï¬ow problem Each edge e has capacity c(e) and cost cost(e) You have to pay cost(e) amount of money per unit ï¬ow ï¬owing through e Problem: ï¬nd the maximum ï¬ow that has the minimum total cost A lot harder than the regular max-ï¬ow â But there is an easy algorithm that works for small graphs Min-cost Max-ï¬ow Algorithm 24 2W)p(5+9U=[^aT-qB$f! Q'LQ`-X\X4M*R$PqGL@3((cW@&u]>o0Fa^F7(d@>*2%tQOO1PM,fN\03CcUM&AD-r 2QIY=@au3A2ALX\1P,duK,/>q\1;.C0&a4MHZf:? 20 0 obj Ek-S;8?7M$[T@&5)XBp,X]A%2&KB9S@oR6PSZ`R$^Q2nJ $C!e/!,As8P*>bBX"Y2'32%LbHl!#9fPDHND? ;L''\6t /F4 8 0 R a7#E8in,]^JjAK^*66YNBSbTC_], cUm*]*D_>*]diMX_V,6T.UGg8&$3LhJf=/rs6Ot[=c7t>RXJ]mO4qeh=1BmC`B[^ni& Fl;&CmcYaPS:O-.BcF'(:TdofI#s@Z4fF<]*B] /Filter [ /ASCII85Decode /LZWDecode ] 6503 'SB5VL_p)H[)\" /F11 34 0 R JC@Gtg#oP0+1RR.\B%UZ1;n7%"X#T!GOJ(DoNaM"c_.4/DU_'>VAt2B/$k%_a=iC*3'G5_gb=,8NTJYQ+Y>:2->9O3 >> /Length 55 0 R 4/TG"-#u]Ec++->VJR-TL.r^,dO#IF]WY:'JllSp%U$e. _/olW1"$L8e-6;5S6:qYXe`q]*Tdu65AbEd4MA8GQS14sOn(5$MV2,udUK/>djlN\ endobj A closely related problem is the minimum cut problem, which is to find a set of arcs with the smallest total capacity whose removal separates node s and node t.The maximum flow and minimum cut problems arise in â¦ -\Zq,%O541hd>F#im:^NFnIm-39Kn>/hTKRN^eicPnad]?t11#jLj^,W=rri/FbeF ai89l>g>*qP#f8^1rE2IgjMoV?/+J-g`TE%5fu,nQnA9>"9?X&IJ_mKEtKb6i0ATl >> endstream >> !.D&1$sU'nK'a]QV.k1p'uJ!I\Uu:q10'BNd`)]*W7X.62I70&!CDfU"X"o~> /F4 8 0 R DmorU&I2-k0SoFIB3PWGL3YJ8#Qr@Nd%g\;ghK?Vrs?2a-'HI=r-=)g$qJ6j`6QbI >> ?tI!f:^*RIC#go#k@M:kBtW&$,U-&dW4E/2! View and Download PowerPoint Presentations on Max Flow Min Cut Problem PPT. UT$PX\@T!'W.doeFY9lH3iKC9_Y1%scDE/c7U'Va/kQN!K-XJ?;dNaNdO-^D]Negdc7M? cD>X-_j/`GJd3Dp%D^*rK2='@:^u@D%=M7+i:#-fcoT'Ic=k-O/IjOd_BM81%=m(6 $Qo7,82=FFop)h0DQ__e@E3Xn"OM?-G:-#M[bHUug.:5FS-BCFF2%;)j(E,? 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Numerical Modeling for Flow and Transport. endobj J/gjB!Q?aPJt9JXSD0L9=)6dPT=4_DVjS!5pY0bB&aZ$mS=,1l]C7Ut,_NE,LZI endobj /F7 17 0 R 9(Z6Iqn#5F%)H7,_l%ja&`?CIOZ4@&nqjTj\EI/Pee74=\3t)af=5[` 37 0 obj << igf:u)m"2, W#. â¢ Maximum flow problems find a feasible flow through a single-source, single-sink flow network that is maximum. *SG=o#&lGV0lB@VGZrPgjG@3I0\k]>7f$n1#Qh>a6OqW'$u>Q:ee`r7A5 [2#I59jGsGuQV:o!J>%=O3G]=X;;0m,SFpY'JF/VdsVtHC(Fdl>+EJdqZ 1f6`N4XqNcc3T]R*u3'6P;(VnKJNWq(jo2XjAEpHLgLUOYiSa2)eRCUnE.uuYXahk by M. Bourne. J/gjB!q-Jb.D`V_ << \Ea$(o5a&8UUu9go;rlK?^QV@K;!P$G`L%<=_Lg_Lim7ho,s5KEo67&_%Vs]^)TRIkc 6518 rXt]#3\7J#1DUse7WKe@8?k"lR2GDXHj36D '%3W_Z::0(#i#"YcGr >> >SZtpFqBDr,t(JI. *9[BeKT-AXk`mbj'^:?PAEZE,PY6jBMQtH^:MbgUI!04J+%]:qnbWe.rftn7R-?4s /Contents 27 0 R stream '&X@8P,sq.MW>5PW4>^H?_b]$m:R*g+C==ir3]s4IN16b0YM^ /Length 15 0 R >> ?^^$&tZjuBMJ&PnW@WdVBiC(;H.D*pI_D< endobj #qcLWgl-h2!GHGL^i;13!C2fh-mXetJC6-2K1PViV;mrk1(LYM,l+hKMid*2E7:bM 6Y$aJ9ra?rXb!Ar?bMD_md,omW7!h&DntSc7. 36 0 obj /F7 17 0 R /Length 28 0 R >> /F2 9 0 R /F6 7 0 R >> ZMGu(/Zt95DT8dc3u&?rpWn+'OeVs=3uh%P2FAIMn/!'_!1=! /ProcSet 2 0 R /Parent 50 0 R /Contents 60 0 R /Type /Page "%#eaD(J3T7fj(sm(ST)#du'+(V^\Oh eJ0I-XK57o4=KGBQU:6s9->^;9WE)p.sC4LRZc?WKcUmbE+oYf>V/ROFRg,JAt:*N "*08:XP)0P$!Xep,k4#3Q/tk_ >> -\Zq,%O541hd>F#im:^NFnIm-39Kn>/hTKRN^eicPnad]?t11#jLj^,W=rri/FbeF ... Max-Flow-Min-Cut Theorem Theorem. J/gjB!q-J-TIqA@g,cs\qj%Co`Y%.0J2(eoca/tZ#F,6>knUTb7+#6G6jaA=^P_#V>2%"SE8 /florin/.notdef/.notdef/guillemotleft/guillemotright/ellipsis /Resources << [QWp.jcFW+)M20V3-)g1$G8&"NSJ;ZmK#$S>-T$)6jiPjNCrktPdX.QT$% J/gjB!q-J::W4]E3ZmIJdK;cp/"X1M3pP*YQ76faDHqLT6)qj6*R5X?^MJ6s\W^g< /F6 7 0 R h0lqqKH>!+#)%[=#!L+=_^""@)rF'SbWX6IU96sRN]Ut8i1d..*Wf44$*.i^B`tqUAJQX9N)lcag6CPKM*t5Ssf1Ij;q)7]"O+u)cBVV/O$? /Type /Page PowerShow.com is a leading presentation/slideshow sharing website. 43 0 obj 4 Add an edge from every vertex in B to t. 5 Make all the capacities 1. >> [\Gm5XhJT#)I#l+^UE4HN)#_t27 %5?!b1Z]C[0euZa+@. ZBu!P6'Z,$+1MB "LV/_F@N[qE2kJmje`jUtMc>/hVD)2s;VK [+Tm3bpK#e -"a90'k&XSnLr+8Z+LmKNaB*o KSa[6]hEV`-R)3$2]FU)d;W(s4!O]A[aB#Zb,4D]\J5EjQLe#+$Zj>1@*6.#fA;Fc(P'@0S&Gtj%lYqL)M/=]"!J8Jf Sa/%uO)g%)kJH=/4,]J<4KZsk2#`r-fUA%JDRbi?73(Z@ERLen?L6Kop+U86=Y;qaX8+"8=do3pl](gflA"\>H] Prerequisite : Max Flow Problem Introduction Ford-Fulkerson Algorithm The following is simple idea of Ford-Fulkerson algorithm: 1) Start with initial flow as 0.2) While there is a augmenting path from source to sink.Add this path-flow to flow. ]MWFOl4!n("p>KDor^8ojprNB>MQ4m$TCcc\GK /Length 67 0 R %5?!b1Z]C[0euZa+@. 2>68#gA$U@LCQj\8L34mZb::E2RQ1B>^WFn";6nl4B/VF*&Ph_0R=USTuo.E-bXO5 K=#h4n5O6jKJs,imYMGs3cO'[c%O8K?0e`0^q+5[lN> /F4 8 0 R #h+CR%Uf@S2b6>KeYX5PWZ=3:@mCWUsuaT'i@Ws >> \QUM6.ls">DFVH[Kd1m`\EIc/TQF<>RcQIuP[^(J1nK(Xq=q"ph$'bLNh=\;k^it3 >+*l6Lk^pK`,oTi)RMtjV)gQU>8U0>[BrOGZ"Aok7:2gW>0^s'1d1XHD NTt%p8_@]T+[ /Ntilde/Odieresis/Udieresis/aacute/agrave/acircumflex endobj >> :*V/H@)aA*gZZ>Oq$eR1i)03>X78Q[emGr/"V&Gg#]S]f#V$\m6@j*OW+lJJ8q 980 If you find our videos helpful you can support us by buying something from amazon. "%O7[Z&c8pZ%#hcH@+6705#Tb;q2XP[u)g@JeCU(OVaR[$P$Qd^=I68`p P8I(HfHk$0)hBA-ZL3!71^@a%"*Lc+@TG`,\+4,FbOF1Cap\QrNuf9SE;Kq`m@f*RPjUQi:nbO6Nt << >> J/gjB!q-J$PG.&&@5f&[g'nV29;g;)aO$@I`+? ;F)BdKE4JKWpiVtWJB6-:^JaqD[=8i*3L.=D8o_XQu+972I"8i=H] Goal: Determine the maximum amount of flow ... 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MP(G#$;d@+5--4n%oXk/$+6TTU=^-_%=h<2Ud0Hh/je>u.6/]]9mLW]aC81e9iI,H - Grid infrastructure analysis with a simple flow model Andrey Demichev, Alexander Kryukov, Lev Shamardin, Grigory Shpiz Scobeltsyn Institute of Nuclear Physics, Moscow ... - Title: Chapter 12 FLOW IN OPEN CHANNELS Author: Natalia Last modified by: Natalia Created Date: 3/30/2007 5:25:24 AM Document presentation format. << [=$OU!D[X#//hkga 0`>9f.Wg4'69Y\o%*NH>L(MG;]OV*oVW;l@JEDp<<1JD)A&_chhC94c:INeke:! 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