Topic 5 - Analysis Signalized Intersection

8/20/2019 Topic 5 - Analysis Signalized Intersection

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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Topic 5Topic 5

(Chapters 21, 22)(Chapters 21, 22)

Analysis o !i"nali#e$ Analysis o !i"nali#e$

%ntersections%ntersections


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

&i"h'ay Capacity anal (&C)&i"h'ay Capacity anal (&C)

* Capacity an$ +eel o !erice (+-!)* Capacity an$ +eel o !erice (+-!)

Input- Geometry

- Traffic

- Signal

Lane Group and Demand Saturation Flow Rate

Capacity and v/c

Performance ea!ure!

Delay/L"S

#ueue


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

&C .roce$re * Eaple&C .roce$re * Eaple

N

1501435

120

83

30

17

29

10

37

31 526

19

ole an$ eoetryole an$ eoetry


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

&C .roce$re * Eaple&C .roce$re * Eaple

-ther inoration-ther inoration Area type non*C Area type non*C +ane 'i$th ! +et*trn lanes 11 t, all other 12 t+ane 'i$th ! +et*trn lanes 11 t, all other 12 t ra$e 7289 ! *28ra$e 7289 ! *28 +en"th o trn :ays +T 150 t9 ;T 300 t+en"th o trn :ays +T 150 t9 ;T 300 t .ar5.&F 0=>5 8 & ! 489 E? 288 & ! 489 E? 28 o :s stopso :s stops .e$estrian 10/hr on each $irection9 ?A+@ 5 s9 F? ! 15 s9 E? 20 s.e$estrian 10/hr on each $irection9 ?A+@ 5 s9 F? ! 15 s9 E? 20 s Arrial type E? 39 ! 5 Arrial type E? 39 ! 5 .rotecte$ +T.rotecte$ +T .hases 1*!+, 2*T, 4*E?, 5*+, 6*!T.hases 1*!+, 2*T, 4*E?, 5*+, 6*!T Cycle len"th 100 sCycle len"th 100 s ello' 4 secello' 4 sec All*re$ 1 sec All*re$ 1 sec +ost tie per phase 4 s+ost tie per phase 4 s o ;T-;o ;T-;

eoetry

Traic

!i"nal Tiin"


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

!atration Flo' ;ate!atration Flo' ;ate

!atration hea$'ay an$ !atration lo' rates!atration hea$'ay an$ !atration lo' rates satration hea$'ay,satration hea$'ay, hhi i satration lo' rate,satration lo' rate, ssi i

Lpb Rpb LT RT LU abb p g HV w f f f f f f f f f f Nf s s 0=

.a"e 5>> B 605


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

!i"nal Tiin" an$ Capacity!i"nal Tiin" an$ Capacity

/s ratio as a easre o $ean$/s ratio as a easre o $ean$

!i"nal tiin" $istri:te "reen ties aon"!i"nal tiin" $istri:te "reen ties aon"

oeents (phases)oeents (phases)

Capacity,Capacity, c c i i

=C

g sc iii


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

/C ;atio, elay, an$ +-!/C ;atio, elay, an$ +-!

/c ratio ($e"ree o satration),/c ratio ($e"ree o satration), X X i i

+-!+-! elay (sec/eh)elay (sec/eh) A A D10D10

10*2010*20

CC 20*3520*35 35*5535*55

EE 55*055*0

FF 00

i

i

ii

i

i

ii

C g

sv

g s

C v

c

v X

)/(

)/(===

[ ]

[ ]C g X C g C

d /),1min(1

/15.0 2

1 ×−

−

=


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Class EerciseClass Eercise

o can either 'or< :y yorsel or 'ith other e:ers o yor "rop too can either 'or< :y yorsel or 'ith other e:ers o yor "rop tocoplete the class eercise= o are reGire$ to con$ct the intersection +-!coplete the class eercise= o are reGire$ to con$ct the intersection +-!analyses or the eaple sho'n earlier in the lectre= o nee$ to se :othanalyses or the eaple sho'n earlier in the lectre= o nee$ to se :oth!ynchro an$ istro sot'are to coplete the analyses, an$ ans'er the ollo'in"!ynchro an$ istro sot'are to coplete the analyses, an$ ans'er the ollo'in"Gestions (asseGestions (asse fixed timefixed time si"nal control or yor analyses)=si"nal control or yor analyses)=

1= Copare an$ coent on the $ierence :et'een sot'are inpts= For1= Copare an$ coent on the $ierence :et'een sot'are inpts= Foreaple, lost tie nee$s to :e anally inpt in istro, 'hile !ynchro proi$eseaple, lost tie nee$s to :e anally inpt in istro, 'hile !ynchro proi$es

$ealts=$ealts=2= ?hat are the optial cycle len"ths that :oth sot'are recoen$H2= ?hat are the optial cycle len"ths that :oth sot'are recoen$H

3= ?hat are the +-! reslts ro :oth sot'areH3= ?hat are the +-! reslts ro :oth sot'areH

4= ?hat are the si"nal tiin" reslts ro :oth sot'areH4= ?hat are the si"nal tiin" reslts ro :oth sot'areH

5= ?hat are the /c ratios ro :oth sot'areH Can yo i$entiy the critical5= ?hat are the /c ratios ro :oth sot'areH Can yo i$entiy the criticalphases/oeents ro the sot'are otptsH ?hich sot'are $o yo :elieephases/oeents ro the sot'are otptsH ?hich sot'are $o yo :eliee

ses ?e:sterIs etho$olo"y to $erie the si"nal tiin"Hses ?e:sterIs etho$olo"y to $erie the si"nal tiin"H6= oes the sot'are report $elay, /c, an$ +-! :ase$ on lane "ropsH6= oes the sot'are report $elay, /c, an$ +-! :ase$ on lane "ropsH

J= &o' can yo o:tain the satration lo' rates or each lane "rop :ase$ onJ= &o' can yo o:tain the satration lo' rates or each lane "rop :ase$ onthe sot'are otptsH oes :oth sot'are yiel$ siilar satration lo' ratesHthe sot'are otptsH oes :oth sot'are yiel$ siilar satration lo' ratesH

= &o' can yo o:tain the capacities or each lane "rop or oeent :ase$= &o' can yo o:tain the capacities or each lane "rop or oeent :ase$on sot'are otptsH &o' can yo eriy they are correctHon sot'are otptsH &o' can yo eriy they are correctH


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

!atration Flo' ;ate!atration Flo' ;ate

!atration hea$'ay an$ !atration lo' rates!atration hea$'ay an$ !atration lo' rates satration hea$'ay,satration hea$'ay, hhi i satration lo' rate,satration lo' rate, ssi i

Lpb Rpb LT RT LU abb p g HV w f f f f f f f f f f Nf s s 0=

.a"e 5>> B 605


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

A$Kstent Factors or !atration Flo' ;ate A$Kstent Factors or !atration Flo' ;ate

f f w w – lane 'i$th – lane 'i$th f f HV HV – heay ehicles – heay ehicles

f f g g – "ra$e – "ra$e

f f p p – par


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

+et*trn A$Kstent Factor,+et*trn A$Kstent Factor, f f LT LT

LCase 1 – eclsie +T lane 'ith protecte$ controlLCase 1 – eclsie +T lane 'ith protecte$ control

Case 2 – eclsie +T lane 'ith peritte$ controlCase 2 – eclsie +T lane 'ith peritte$ control

Case 3 – eclsie +T lane 'ith ./. controlCase 3 – eclsie +T lane 'ith ./. control

LCase 4 – share$ lane 'ith protecte$ controlLCase 4 – share$ lane 'ith protecte$ control Case 5 – share$ lane 'ith peritte$ controlCase 5 – share$ lane 'ith peritte$ control

L .rotecte$ +TL .rotecte$ +T

lanes shared for P

f

lanesexclusive for f

LT

LT

LT

05.00.1

195.0

+==


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Eaple oEaple o f f LT LT

Asse the :ase satration lo' rate is 2000 phpl= Asse the :ase satration lo' rate is 2000 phpl=

(a) ?hat is the satration lo' rate or an eclsie let*(a) ?hat is the satration lo' rate or an eclsie let*

trn lane 'ith protecte$ let*trn controlsHtrn lane 'ith protecte$ let*trn controlsH(:) ?hat is the satration lo' rate or a share$(:) ?hat is the satration lo' rate or a share$

let/thro"h lane on a one*'ay street, assin" +Tlet/thro"h lane on a one*'ay street, assin" +T

traic is 208Htraic is 208H


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Copleities oCopleities o f f LT LT

'ith .eritte$ Control'ith .eritte$ Control

The $ischar"e o let*trn ehicles $epen$s on theThe $ischar"e o let*trn ehicles $epen$s on the

opposin" lo' rate= ?ith eclsie +T lanes, it can :eopposin" lo' rate= ?ith eclsie +T lanes, it can :e

o$ele$ :ase$ ono$ele$ :ase$ on "ap*acceptance"ap*acceptance theory=theory=

?ith share$ lane(s), a let*trn ehicle 'aitin" or?ith share$ lane(s), a let*trn ehicle 'aitin" or

a


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

+ane Mtili#ation, +ane Mtili#ation, +M+M

A$Kstent or lane tili#ation acconts or neGal se A$Kstent or lane tili#ation acconts or neGal se

o lanes :y the traic lo' in a lti*lane "rop=o lanes :y the traic lo' in a lti*lane "rop=

N v

v

f g

g

LU 1=

EapleEaple

At a 2*lane approach, the satration lo' rate in each At a 2*lane approach, the satration lo' rate in each

lane is 1>00 phpl= % the $istri:tion o traic in the t'olane is 1>00 phpl= % the $istri:tion o traic in the t'olanes are 200, 'hat is the satration lo' rate o thelanes are 200, 'hat is the satration lo' rate o the

approachHapproachH


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Fiel$ easreent o !atration &ea$'ayFiel$ easreent o !atration &ea$'ay

an$ !atration Flo' ;atean$ !atration Flo' ;ate

& e a

$ ' a y , s e c

Car in position

h

h s

3600=


17/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Fiel$ easreent o !atration Flo' ;ateFiel$ easreent o !atration Flo' ;ate

(pp= 641)(pp= 641)

#ueue#ueuePo!itionPo!ition

"$!erved %eadway! &!' in Cycle (o)"$!erved %eadway! &!' in Cycle (o) Sum of Sat)Sum of Sat)%eadway!%eadway!

(o) of Sat)(o) of Sat)%eadway!%eadway!

11 22 33 44 55 66

11

22

33

44

55

66

JJ

>>

1010

11111212

1313

1414

1515

3=53=5

3=23=2

2=62=6

2=&2=&

2=52=5

2=32=3

3=2&3=2&

2=52=5

4=54=5

6=06=0

2=>2=>

3=03=0

2=32=3

2=22=2

2.32.3

2.12.1

2.0 2.0

1.91.9

2=>&2=>&

2=52=5

2=&2=&2=52=5

5=05=0

J=5J=5

3=>3=>

3=33=3

2=42=4

2=42=4

2.12.1

2.42.4

2.42.4

2.2 2.2

2=J&2=J&

2=42=4

4=04=0J=0J=0

4=2&4=2&

3=63=6

3=2&3=2&

2=52=5

2=12=1

2=22=2

2=42=4

2=32=3

1=>1=>

2=32=3

2=22=22=>&2=>&

4=14=1

2=>2=>

3=5&3=5&

2=J2=J

2=12=1

2=22=2

2=02=0

2=22=2

2=42=4

2=22=2

2=J&2=J&

2=42=45=05=0

3=23=2

3=03=0

2=52=5

2=>&2=>&

2=52=5

2=32=3

2=32=3

2=02=0

2=42=4

2=12=1

2=02=02=32=3

6=06=0

0=00=0

0=00=0

0=00=0

0=00=0

13=J13=J

13=313=3

14=514=5

13=313=3

12=112=112=012=0

>=4>=4

J=JJ=J

0=00=0

0=00=0

0=00=0

00

00

00

00

66

66

66

66

55

55

4433

00

00

00

SumSum *+),*+), ..


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

elayelay

elayelay the ost coonly se$ perorancethe ost coonly se$ perorance

easreeasre

Types o %ntersectionTypes o %ntersection elayselays

!toppe$ $elay!toppe$ $elay Total $elay (control $elay)Total $elay (control $elay)

Tie in Gee $elayTie in Gee $elay


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

elay !t$ieselay !t$ies

!toppe$

elay

Total elay

(Control elay)

eceleration Acceleration

!top +ine

Tie

istance


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Tie in Nee elayTie in Nee elay

!toppe$

elay

Tie in Nee

elay

!top +ine

Tie

istance


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Control elay Fiel$ easreentControl elay Fiel$ easreent

(pp= 22*233)(pp= 22*233)

T'o o:serersT'o o:serers 11stst person conts ehicles in Gee :ase$ on 10B20*sec interals,person conts ehicles in Gee :ase$ on 10B20*sec interals, iGiG 22n$n$ person conts arriin" ehicles, person conts arriin" ehicles, TT, an$ stoppe$ ehicles, , an$ stoppe$ ehicles, !T-.!T-.

)*( CF FVS T d +=

9.0**

= ∑

T

i!

S V

V " T

T

ST#P

V

V FVS =

LC

ST#P SLC

N N

V V =

LL C C to o:tain in Ta:le >=6 (pa"e 232)to o:tain in Ta:le >=6 (pa"e 232)

FF!, phFF!, phehicles stoppin" per lane, per cycle, ehicles stoppin" per lane, per cycle, !+C!+C

DJDJ *1>*1> 20*3020*30

D3JD3J

3J B 453J B 45

4545

55

JJ

>>

22

44

JJ

*1*1

22

55


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

EapleEaple

Cloc< TieCloc< Tie Cycle :er Cycle :er

:er o ehicles in Nee, :er o ehicles in Nee, iGiG

70 secs70 secs 720 secs720 secs 740 secs740 secs

500 .500 .

OO

OO

OOOO

OO

OO

OO

OO

11

22

33

4455

66

JJ

>>

1010

44

66

33

2255

55

66

33

22

44

JJ

66

55

6633

44

44

44

33

55

55

55

4433

55

44

33

33

55

TotalTotal ,, ,, 00

PPiGiG D HH D HH TT D 120 ehs D 120 ehs !T-.!T-. D J5 FF! D 35 ph D J5 FF! D 35 ph ++ D 2D 2


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

The &C elay EGationThe &C elay EGation

321 d d PF d d ++=

[ ][ ]C g X C g C d

/),1min(1/15.0

2

1 ×− −=

+−+−= cT $lX X X T d 8)1()1(900

22

Mnior elay


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Mnior elayMnior elay

Tier

C ) 0 ) l a t i e

A r r i a l / 5 e p a r t ) r e

[ ][ ]C g X

C g C d

/),1min(1

/15.0 21 ×−

−=

"

"0

!

C


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

EapleEaple

!ppose the cycle len"th is 100 sec, the eectie "reen!ppose the cycle len"th is 100 sec, the eectie "reen

tie is 40 sec, the nior arrial lo' rate is 400 ph,tie is 40 sec, the nior arrial lo' rate is 400 ph,

an$ the satration lo' rate is 2000 ph= Calclatean$ the satration lo' rate is 2000 ph= Calclate

Aera"e $elay per ehicle Aera"e $elay per ehicle

ai Gee len"th in ehiclesai Gee len"th in ehicles

ai :ac


26/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Mnior elayMnior elay

TieC

C ) 0 ) l a t i e


!

C

!


27/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

;an$o an$ -er*satration elay;an$o an$ -er*satration elay

TieC

C ) 0 ) l a t i e

A r r i a l / 5 e p a

r t ) r e

!

C

!


28/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

elay 'ith %nitial Neeelay 'ith %nitial Nee

TieC

C ) 0 ) l a t i e

A r r i a l / 5 e p a

r t ) r e

!

C

!


29/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Mnior elay 'ith .latoon ArrialMnior elay 'ith .latoon Arrial(.latoon on ;e$)(.latoon on ;e$)

Tier

C ) 0 ) l a t i e


"

1 n p

!

C

1 p


30/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Mnior elay 'ith .latoon ArrialMnior elay 'ith .latoon Arrial(.latoon on reen)(.latoon on reen)

Tie

r

C ) 0 ) l a t i e


"

1 n p!

C

1 p


31/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Eaple ro .reiosEaple ro .reios

!ppose the cycle len"th is 100 sec, the eectie "reen tie is 40 sec, the!ppose the cycle len"th is 100 sec, the eectie "reen tie is 40 sec, theaera"e arrial lo' rate is 400 ph, an$ the satration lo' rate is 2000 ph=aera"e arrial lo' rate is 400 ph, an$ the satration lo' rate is 2000 ph=

e to the eistence o an pstrea coor$inate$ si"nal, a:ot 608 o the

total ehicles arrie $rin" the eectie "reen portion o the cycle= Calclate

the ollo'in"

(a) The lo' rates $rin" "reen an$ re$

(:) Aera"e $elay per arrial ehicles (only the irst*ter $elay)

(c) :er o ehicles $elaye$ or stoppe$

($) ai Gee len"th (ehicles in all lanes)

(e) !ppose at the :e"innin" o re$, there is a Gee o 4 ehicles on thethro"h oeent= ?hat 'ol$ :e the aera"e $elay per arrial ehicles in

the crrent cycle (the irst*ter an$ the thir$*ter $elay)H

()() ?hat is the .FH?hat is the .FH


32/33

CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Areas ;eGirin" Frther ;esearch Areas ;eGirin" Frther ;esearch

.e$estrian eect (Tian an$ O).e$estrian eect (Tian an$ O)

.rotecte$/peritte$ control.rotecte$/peritte$ control

!hort*lane/Gee oerlo' (Tian an$ ?)!hort*lane/Gee oerlo' (Tian an$ ?)

Actate$ control Actate$ control


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CEE 463/663 – Fall 2015CEE 463/663 – Fall 2015

Assi"nent Assi"nent

o are as

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Topic 5 - Analysis Signalized Intersection

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