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CoK>hct.ii.t .sk,o-k>{ 4. J i 1. 'l--page.math.tu-berlin.de/~moehring/adm3/adm3-2015/04.pdf · ......

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~>01eS~1.i ... ~ ~ <b~a.ct... f,.e_ 1 ? r 1

~~ ?~\\- ?~ ke:i,,'4-.

~~+ ~t'-<.k 9v-L<k ~ t...~ t...b~

1~ rv~Hk A2 r21e't"

L

}~l Wll}J ~: ~~\A~ %J rL.e Tec.-A.e !µ)~ ~1

>,·9i ~1.u

:re.;~ ~-~> 'Y~eekc; ü+ IM-c..xr'~..Q_ ~ {11·12,i.v.~x)( 1-t· l:kLa-.x)

A- < 1 A. lt1 " ({- II

L4<J ~ l~\ w.J t ) t., ~ S) a.kt ( -=-t> ?~~k) S ~'2-co. lJ,'\ s; ... J

t' f,(l-_~ ü1 ~ [~ ~"t ~

} 'Au+G~'i>E 4-:~\ , ____ ,___,,

~~,L< .... ~: lC<..__i., ~·~ o4H () c~ e('):i 'L......_) ik.,~"1·<:..-t e..-. ~,~

( ~IL.,, 03,) ~o s~j f'~i~""'J.., Ae1.,..;fl "'~~

1'-ln~"""+ ~h''""'"'"'? ~ l~Ck..,(l)e._~ ~\~ ~ >J<~ewl---e urr

~J ~-~ ~k ~,Qo~ kll Lß ~·~ Jev:, c?rl-1""' i. ~ ~ tS f'

:vi~ G„'k ~ ~Si--c....L k""c,, ~·ot·4r '· .4. ~~3· J~Q{- ~,-~

4-. ~ 'ßtl >?1 ~ L. ~ ( 'S 0 ') ( fo) 0)

> S:l 1f ;:-,o „ (<'>;1) ~. 7 ~ ,

(61 1.0 ) (ö; R0)

L = !:Jo 2 )

/~GWt~ec~ ~~k4 UTS ~ s (.(.1.1.J

Dp4-.j, k „k, R„~ e,.. --rs; 1

== 1> 1-tt.tr 12 ( i h · 'Co' ) App-rox l 1.,,.~ ~·c..v, ~ <'k_

~0 ~~·~- ~Mw~'-t·'~i.<vq ~~~~ LMQ.-i.~ 61.,, lt~tk.. '1 )

'<M.~ Gtt>~1~~t '7.4<7 ~<.-J a~ ~te_

~ ke <)> C>V r °' ~ r<... (,IJ( ~i ,.'\ k Cs P - ?.~"'-'..{__

Analysis of fairness

1 Factor

-~„-. „.„„.

UE 0.8 -···-„•·4-•••••• 1.01

, , , „,M„„Mo„ .... „ 1.02 >. 1.03 ~ 0.6 --··- ·· -·· 1.05 j :.a C'tl

-- --- --- so -4 .0 0 0.4 ,_ 0..

0.2 .; ,;;

.,.../ - -~" ,,.,., & ';./ .1 - · xr'~ ,„·· r ····· ,,.--

0 , „. ~„.„ ......... .......

0.6 0.7 0.8 0.9 1 1.1 1.2

UE unfairness

• 75% of the users travel less than in equilibrium

• Only 0.4% of the users travels 10% more than in equilibrium

'"' so wJ.., ~ f%

1.16

1.08

1.00

Results

• UE ISO

SF F w

SF Sioux Fall F Friedrichshain

WWinnipeg

N

• CSO ISO

MPF CS B

N Neukölln MPF Berlin Mitte

CS Chicago Sketch


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