00020001010008main.ACT0002020012eActivity Save.EAC0100000018e4  traffic.EAC main.ACT(+/ $ ] ' [47 T_ Flow rby Ravinder Kumar Alcorn State University  , MS 39096XrkM@aE.edu BObjectY:%fSolution of elementary modeling probs #- f involves solg syst)f :ear equa\s e and interpreting the solution. T purpose ofis e-Activity to demonstrate howBve ffic fl problems. \T.F& Principle&*Fx3;A traffic network consists of roads/stree etc. Where + C such paths m( is called a$h junctionv. At tUare  kindflow: Uin andpout+o. $ `TSFS Principle\ states that=<5every:+W I = O[w\Inflow/3Exams7;M^ .82wP 6@(IO]P@<HDB:(@6#<TP8dxȨܨ,@r O^C (Ȇ<<A(dP!S xa @x ?㔣܆  `x+I,(PPqƐdQ4>xQU(7 Q@x〢&U.N<PTd8xऌPHDBܧ,@:@ x@ (  \35 R( PQ<QQQcRPu\(J@<T(8<H<DPB @#b@ Nx QDQ($QD@ NDLh'Mpp  " 'G$ & $HH*  2Ț P tH xLGM 0 *|93H@EF Ix[ I8UDYI(UD<( 0"88P̲$[\  ExplanationIn the inflow/out example &&diagram traffic -s5to junction B S#fro*Ustreets AB and DB (Arr:"indicate direHof_). ThisU equals sum!x (along[)\100DB).  $Also,ȆvʏB (̖towards4BaӐ7585 Therefore, byb TFP$ Principle: At junction B  x+100 = 160[4$= ExamJ 1: AA[Taken from Linear Algebra by Jain and Gunaverdana, Brooks Cole]Id&cThe traffic flow of vehicles at a givr rush hour c townt?interse? 1st Avenue, 2d 5th Street6isoin[foling diagram (click K picture wV=strip for seeing the diagram). Find all possible solutions, a+discuss traffic flow =a. when 5th keet is closed betweintersecW AXD.EbE2AvenueECE\DlM282(Q 1aܠ* I:p@$<3"!(xP#8d$QDSL #Tn   Yd-D6(#@<(P .||㊈$)/ AJ @(y4UJ P J PEPxP㼈 x <'(q【ȓȒj< @#P@1 QTӆ$zU /Y(Q$뎢X '' (WV |〠 @D 4q U(( <iP < x 0,,A8P|<x@<   q   ' $((<(PxQU(7 Q@x〢&U.N<PTd8xऌPHDBܧ,@:@ x@ (  \35 R( PQ<QQQcRPu\(J@<T(8<H<DPB @#b@ Nx QDQ($QD@ NDLh'Mpp  " 'G$ & $HH*  2Ț P tH xLGM 0 *|93H@EF Ix[ I8UDYI(UD<( 0"88P̲$[\  ExplanationIn the inflow/out example &&diagram traffic -s5to junction B S#fro*Ustreets AB and DB (Arr:"indicate direHof_). ThisU equals sum!x (along[)\100DB).  $Also,ȆvʏB (̖towards4BaӐ7585 Therefore, byb TFP$ Principle: At junction B  x+100 = 160[4$= ExamJ 1: AA[Taken from Linear Algebra by Jain and Gunaverdana, Brooks Cole] m&The traffic flow of vehicles at a givs rush hour d townt?interse? 1st Avenue, 2 5th Street6isfinRfoling diagram (click C picture strip for see9A(diagram). Find all possible solutions, aAdiscuss traffic flow =a. when 5th street is closed betweintersecW AXD.EbE2AvenueECE\DlM282X6 1aܠ* I:p@$<3"!(xP#8d$QDSL #Tn   Yd-D6(#@<(P .||㊈$)/ AJ @(y4UJ P J PEPxP㼈 x <'(q【ȓȒj< @#P@1 QTӆ$zU /Y(Q$뎢X '' (WV |〠 @D 4q U(( <iP < x 0,,A8P|<x@<   q   ' $((<(Pc阥cZu{BǮձ:֠ct:{E>co XDJ{_Ǯ/. :1 ұU:ձul5X5X5:ZtEFulMXMӱM:vB6س:v=c:֥cӱ-:vZǶtlc݅enۮcۡc:S":֣c-:KsG:t^ۤc:֥c1ֱ:֣c:yݖt_^ձ{M:ֱ7ulVұ{[Ǟұ>fc/b~pφcdb|QUSwaQY.=|O.po.cޝ)-+q-~}Kl#63W퍝RU)Y(O[QūGY]z܀,,_7V9x^n.^]6R6lX.++F7eg\Qëˆ[ʆה .[0x~BĄsXޯFgu1}dwZ9㸖ϥoZ'wߞ2"˄,YdyVS.iYκ:"rz!rz!rz!rzS.]- S߿?ib]xJ#,wM/UiWUk:4v|JSڶ%Hre}]l[K358džK>6ԗ:%0ڸi]Nh'ާ*ULg;om[tn b <(|HŶo._WߎᾘXZ35ѱGFQ 81kksb|US7_G[mڨb ؝ns-jB[hڼ 'ZwĆ⾈ +܈*B~ζ}Xj4Ϻm07سNJ4mnYմv+6Ɠ{c``j?Cx5:$d n\T^tK|O"FHrT5j[ԗ1k4a%v}q9FlT&'%`2dGSַ߲>ju[:J#6?"CHj3tX޽ a9f_lhHݟȝ=:NY5˵ܴ oE#imU#GTRc{o,Eo;܄lg9`ʊ7Re8^0ebl4jjB-jRh[gR%Fc_[IɬH_l,%7V2A")c,[Q5:sN9sMY"2L}$?Rd_>\YS[~ lc4ͮf[5ȞU{WF#V淺0rMM0>KKۻ76}=)_B͗vFMhvg4n~ = Ys*~߽rojasI9VOr%OcɰX-svXaOb:Nϸ {vD4[%ۅ7IZ+ԃD~9* gٓ!5Oe ONL2>)铦"#<1|~Lļ}$'g—规SrV;L_1g~q؝GhɣnTd'Q;7ɿ:c֎glLXsc-2/U.nrk|Oe9-K,?Idi! J\PVtfNPy*,6ȭjMrB]YPr\P&W(4"~7!y-rBiY*W(4++ d[P)Y.W(+zQVv>x nWxz;VOtۻd9c2U'VwR,˯NL}bzJ<&W.엡W \plVMnVuu oԉkڅT8vv=SWWVW 8(/|q4 vO{fo[M;u8_ƽ޲ 7ݪmjvYU+x@3X: ]-'5߶l}eΔOeNt5e'es'ϝ=>-ܶWxexdٙKDLTd̒Q6([IDlheqKuI+l[uGdԓ'9zp~ 7gg>ݳa/K{\0g"哟frlW5a憙|[s!\_9.O+2 ~obN{'pe.qkYw ٞYK^m-|c*p?~œ6}sG3s6w^t?W=)b3W^Xb/O׉ޣ Uśtݬ K׶\~ msv?&e֝[:m [w7Kw9}<'ӹ8xbo|TMs[{y?;LV^jIe}66d/6hɾpv,"*rdϲ)ϴ[؞=[w8.O/jKJ9)/0R7Fi_}7Zw:lE}jonPcV~[y xn+oӇ}WnUj_wRh;r3t>/ϓ}V}W\ޓN ϯ#)>r>c|>}gvV\\mi7j.br?Y5]zw}MK^7}po'L r!])\NzNǷ\9]%?s=wLi80s(t`'\-t7ǧ;~EIwJ{V/_?[Ox{WvEkI|_ǯ9Gteaɿ(~8f<.6N>W嗻es̍@_לd&K,2!KFY,rZjBN/%K,mt+ˈ,do*%@1\Iq<%0>W.?%9Fc>3K/Χ"j#re}TrmU]rlqyl끋Kga\Ks-q6sJ rKgK~bJ|ǒÕgU'Dp&ZҭjLw[%YL\N%%YbxzǨQ?ѓ9 B'l&\SLW? S^Yk;|UOT~I?>\g>[Hr!{NtwQ{?TV×哅/m LT)Wd͠J2oUJU*e&n| 9i fI?i?更lUFG4fPeD_NxufpIo3O9i=f9' | 8>?5;i3~ e;?tdp?1JTrB*߹QTAgH˧T2ju&'| 8'P Qq 0s3W)' ;Q3tN.x:W\f-' \2"~׮?{CSU_uwNt[Qթ;NMmwqݎT\SqfDͺ[w맺3ޑﺲ+\^1]!)ҵB-ʝF:}u5놿R:^3~fVXL;×=W}ׯxʳ6~}G2t;{M:;γ8.7͟}';=++[/Uo ]׺^3]?Z{Ȣ  î#vweOxP1ӝ9(k`Ip~thHuʭf ~KS*~E_x:Mx]wKfu+o,3~zu/vW_uK&8m-Vc^ztہ^?27n+[m{s'",گ,NwWgݙcݯg\[?uK2s ]bZ&/ƴ>w_%Ϻ&qv/"F&& w341y䳙;pitf"U{OO LD0g)N?מ|!1g\ WD.eC2sO#2a=G 6,# cJ-Þ6+  WLXV]@.hZsrnw{s&䇱mAVO^Qk cIocQ?Vxrg^wqdk3\ڟ|k^~闞ӿx̵|Ol.04a6