Available via license: CC BY 4.0
Content may be subject to copyright.
TRANSPORTES 1
Method for esmang capacity and measures of
effecveness of two-lane highway work zones
Método para determinação da capacidade e de medidas de desempenho
em zonas de obras de rodovias de pista simples
Rafael Quintão de Andrade
, José Elievam Bessa Júnior
!"#$%&'(&
!"&$%')&%'*
Recebido:
%+
Aceito para publicação:
+
Publicado:
,%+
Editor de área:
-.)
ABSTRACT
/01)11&0 &%0 (1( &)
2(340%0445"'/0&3(&0&3(
&)341*6))/0&3400#))
(0%740(()400)8(%040(0403&3
&)2(3)(03&1"'9#)34
1&0(1(0&:&)&%0045"*
((1*)0(0&)2(3'/0&0
8( (( % %& 0%04 )% 0 :()3
()(3454)(*08(&);&):'
<0 0 &) (* 03( 4 % * 0
&)3 20103((40(0 * *0
1*&011&0'&)2(3)(0
((3&1"3& *&011&0&3(
& 0 = 4 (&1 % 0 0 & 1)(
3()'
RESUMO
>1)11?)&&@1&AB(1(&
&10 & " * 1 &1' C
))&&)AB&&-3(&D3(*&/
&0A (& 1AB D() #) ( & &- #)
1&3&%)&&&10(&&01B'
&&*@&#)A?1&(1((&1&
&-:& "*13 (- & &10'
CAB &@)3"))&(E) -%(&
(0)&):()AB*1(*&)
-%;&):'.&&)(*%)&(E)
@3( 13 &)AB(-01@3(#)&
1*%)&-1*&#)1&@11'C
=& & (&1 & &10 *3 & &&-3(
11 & (&1 (& (( &0 1B #)
1&)*'
Keywords:
)2(3'
/4)0%04'
/8(&)3'
<5"'
Palavras-chave:
&10'
F1&1'
&)AB-%'
G*'
H>+',IJ1'
+
'
KI
1. INTRODUCTION
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 2
!"#$"%&'()*
+
,'
$
-%.etal.&'()*HighwayCapacityManual%/ 0*
%#1 &'(2*
" /#3',(')-
NationalCooperativeHighwayResearchProgram%4etal.&'(5*/
/ 02
$
%
/ (66,* %4 (666* %4 et al (6627
8et al. &''97.etal.&'()7/et al.&'(6*/
0
4%4etal.(66278et
al.&''9*
+
.etal.%&'()*/etal.%&'(6*
1
1+4:34$%$#;43*
4
+%$#;43
&'(6* %
*%
* + % + *
,
0
/
$#;43%&'(6*
+
5'' < $#;43
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 3
-
+
2. PROPOSED METHOD
=(+
Figure 1'01&%(1(&)(40%0445"
4
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 4
,
$ " !
=
-
3. MATHEMATICAL FORMULATION
= 2
<(
Figure 2.9:&145"40%04%&P;F/9C+,Q
>%*
1
+
?
• G
1
? <(
<(<&
• CT
1
? < (
• G
2
?<&
<&<(
• CT
2
?<&7
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 5
+
; +
+
3.1 Clearance me
+
?
%(*
%&*
? <(&7
? +
? <(&@
3.2. Cycle and green intervals
G
(
G
&
8
= ,
"
=
$
=
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 6
Fixed-Time Traffic Light Stop-and-Go Operaon
Figure 3.6))%&:&(%01%1
?
%,*
? 7
? <7
? <%@*7
? <@
%*
%
*
%
*
?
%A*
? 7
? <(&7
?
? +
% *+
!
"#
$
%
&
$
%
'
%5*
3.3. Average platoon size
=%C*
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 7
1
=
+
?
(
)*+,,
-
*..
%2*
(
? +<i.
3.4. Average delay
%==4*
?
(
? +<i7
? <i7
?
Figure 4.1%1&
B
?
/
0
1"
2
%)*
/? <i@7
<i%/
*
?
/
3!
0
1"
2
%9*
d
?
/
3
&3
&
%6*
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 8
3.5. Capacity
+
+ %P
lim
* %d
lim
*
3.5.1.Capacityversusplatoonsize
+
?
(
*..
%('*
v
(
?
4
* 456
%((*
LT
Q
(
Q
&
v
(
?
!
"#
$
%
&
$
%
'
7
!
"
#
%
&
8
%
'
%(&*
%('*?
(
*..
!
"
#
%
&
8
%
'
7
!
*..
(
96:
#
;
'<
%(,*
+?
!
*..
(
:(
#
;
'7
0
=>
)*+,,
&0
#
%
&
8
%
'
%(A*
C%cap*%v
(
v
&
*?
?@A
*BCD
*BCD
1462
*BCD
%(5*
$ %(A* + P
?
?@A 1462
*EFG
1;&20
HI
=>
)*+,,
&0
HI
#
%
&
8
%
'
%(2*
?@A? +@7
(
JB
? +7
? <(&@7
? 7
4?
"
%Q
(
Q
&
* %LT*
+
+%P
*
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 9
3.5.2.Capacityversusaveragedelay
+
?
/
3
&3
&
%()*
$v
&
k
v
(
?
4
* 456
%(9*
= %()*
k?
/
3
&;3
&;
3
&;3
&;
3
&;3
;&
%(6*
#?
/
"
%&'*
?
7
%&(*
%&'*?
/
"
-$
%
#6:
'
%&&*
# %(6* %(&* %&&*
?
/
K#"
$
%
'&;#"
8$
%
'L
1;&2
7 /1462
!M;&"
N
%
&
8
%
OP
"
#
%
&
8
%
'
%&,*
v
(
?
"
=>
Q
#
%
&
8
%
'"
$=>
Q18R2
N
%
&
8
%
O
%&A*
$ %(5*
d
?
@A 1462
*BCD
1;&2N"
=>
QHI
O
#
%
&
8
%
'"
=>
QHI18R2
N
%
&
8
%
O
%&5*
?@A? +@7
/
JB
? 7
? <(&@7
? 7
4?
3.6. Maximum work zone length
+
+%(
JB
*%/
JB
2
+
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 10
3.6.1.Maximumworkzonelengthversusplatoonsize
+P
i
v
%@* (
v
(
%*?
(
*..
*..
!
"#
$
%
&
$
%
'
%&2*
%LT*?
#
*..0
'K6:#
'L
%&)*
$%A*
+Ls
(
s
&
%l
*?
ST#
'
#
*..0
'K6:#
'L
%&9*
+L
+
P
?
BCD
#
,,,UHI
$
'K"#
$
%
&
$
%
'L"
HV
W
#
V
&
V
'
...0
HI
K"#
$
%
&
$
%
'L"
HV$
W
#
V
&
V
'
%&6*
BCD
? +7
(
JB
? 3+7
? <(&@7
? @<(&+
7
? <(&@7
?
+
+
3.6.2.Maximumworkzonelengthversusaveragedelay
4d
%&&*?
/
3
&3
&
-
K#"
$
%
'
&#"
$
%
'
L
&
%,'*
$C?
31
&
2
K#"
$
%
'
&#"
$
%
'
L
%,(*
=%A*?
#
V
&
V
'&J
V
"#
$
%
&
$
%
'
%,&*
4%,&*%,(*?
#
V
&
V
'&J
V
"#
$
%
&
$
%
'
31
&
2
K#"
$
%
'
&#"
$
%
'
L
%,,*
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 11
+L
d
?
BCD
X
3
HI
1
&
2K"#
$
%
&
$
%
'L
K#"
$
%
'
&#"
$
%
'
L
:
Y
#
V
&
V
'
%,A*
BCD
? +7
/
JB
? 7
? <(&@7
? <(&+
@7
? <(&@7
?
4. DATA COLLECTION AND ANALYSIS
+
$
+
%$4*
4.1. Data obtained in the field
0B'5'$1"B
7-
$&,&'&(='9?''()?''
=<D ?
• 8.(?(A6'9?''('?,'7
• 8.&?())(&?&'(A?&'7
• 8.,?(9'(5?A5()?,'
=+%*
$33,3A
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 12
=5
+
%*
%8 . &* %8 . ( 8 . &*
+%8.,*
PQ
P*Q
P(Q
Figure 5./((((<5PQL<5P*QL<5P(Q
%*
% *
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 13
0
$%&'&(*
4.2. TAS data
<$4$E3
43&55 (9) F G
$4: 0
0 ,' &'&' < (
')?A'()?('
Figure 6'H*) ) 1 0( &) 0/; ( 40) PQ 40
45P*QL(40)P(Q4045PQ'
$4
+R
+R
+R
+R
+R
I+R
+R
+R
K+R
,+R
++R
+ + K+ ++ +
Cumulative Frequency
Instantaneous Speed (km/h)
+R
+R
+R
+R
+R
I+R
+R
+R
K+R
,+R
++R
+ + K+ ++ +
Cumulative Frequency
Instantaneous Speed (km/h)
+R
+R
+R
+R
+R
I+R
+R
+R
K+R
,+R
++R
+ + K+ ++ +
Cumulative Frequency
Instantaneous Speed (km/h)
+R
+R
+R
+R
+R
I+R
+R
+R
K+R
,+R
++R
+ + K+ ++ +
Cumulative Frequency
Instantaneous Speed (km/h)
PQP*Q
P(QPQ
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 14
=
%
* % *= 2
$4
%&*%,A*%52*
%)6*
8
<(
1
8
% *
95
5?
• ?9'@7
• C?)5@7
• 0?)'@7
• /?)'@7
• ;?25@
5. CALIBRATION AND VALIDATION OF AIMSUN NEXT
0 +
H
%1D etal
(665*$"&'
%B(69(*%B(692*
%>4<!&''5*8!3$4%$etal.&'''*
0B'5'
=
+
(5
%*%
*
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 15
$ "
?=
@%=)*
C%&'(9*
1#'A' 0
B%A))2)*=/3
%55A*+
Figure 7..)&)#)(*)PQLJC4P*Q00(';1&S&et
al.P+KQ
!
(,
=
(
% *
Table 1 - ;%1&)&(&1*0&(&(&)
Work Dir.
Passenger Car (km/h) Heavy Vehicle (km/h)
Measured Simulated Difference Measured Simulated Difference
<5
I'I I' +R K' 'I R
' ' R IK' IK', R
<5
,' 'K R ' 'K R
K' ' R ' ' R
<5
I'+ I' +R IK' ' R
,'+ 'K R '+ I' R
+R
+R
+R
+R
+R
I+R
+R
+R
K+R
,+R
++R
+ + + + K+ ++
Cumulative Frequency
Mass (ton)
S%0
)&
T
9:0 +R
+R
+R
+R
+R
I+R
+R
+R
K+R
,+R
++R
+ I+ ++ I+ ++ I+
Cumulative Frequency
Mass/Power Ratio (kg/hp)
S%0
)&
T
9:0
PQP*Q
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 16
6. VALIDATION OF THE PROPOSED METHOD
%8etal.
&''97Ietal.&''A*
+
$"$&9,5'
+%5''
5'''*%&'' ('''*
%&'J5'J*%5'J)'J*
%'J,J2J*
<
8
+ $
Figure 8./(45&%;&):4
4
&
$%&'&(*
Table 2O)
Saturaon flow Q
1
UQ
2
UKI+1(J0
Total lost me l
s
UK(
Heavy vehicle equivalence factor
P
HV
U+RE
T
U'
P
HV
UIRE
T
U'I
P
HV
U+RE
T
U'+
P
HV
UIRE
T
U'
P
HV
U+RE
T
U'
P
HV
UIRE
T
U',
P
HV
UI+RE
T
U'
#+
+
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 17
@
,
Table 3 -;%1P5&J0Q100(4P0J0Q45"%0P&Q/PU+RQ
Heavy vehicle
flow (veh/h)
Work zone length (m)
500 1,000 1,500 2,000 2,500 3,000 3,500 4,000 4,500 5,000
I
IK
I,
I,
I,
I,
I,
IK
IK
IK
IK
I+
I
IK
IK
IK
IK
IK
I
I
I
I
I
II
I
I
I
I
I
I
I
II
II
++
I
I
I
I
II
II
II
II
I
I
I
I
II
II
II
II
II
I
I
I
I
I+
I
II
II
II
I
I
I
I
I
I
I
I
II
II
I
I
I
I
I
I
I
++
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I+
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
I
++
I
I
I
I
I
I
I
I
I
I
Figure 9.S%%((1PQL&)&1"P*QL%P(Q*
0)%0(&)011&0
U+',KK:
FVU+',,,
+
++
++
++
K++
+ ++ ++ ++ K++
Average Cycle (s) -
Proposed Method
Average Cycle (s) - Microsimulation
U'+K:
FVU+',,
+
+
+
+
+
I+
+ + + + + I+
Platoon Size (veh) -
Proposed Method
Platoon Size (veh) - Microsimulation
U+',,II:
FVU+',,,
+
++
++
++
++
+ I+ ++ I+ ++ I+ ++ I+
Average Delay (s/veh) -
Proposed Method
Average Delay (s/veh) - Microsimulation
PQ
P(Q
P*Q
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 18
+
==6
?
• ?
• $+?
• $?
+
%#K* 666J (,J
4
#
&
66J
(9J+'AJ
7. FINAL REMARKS
=
+
++
$ "
=
+
=
+
ACKNOWLEDGEMENTS
0 B # =%=$3;0B $3L',9(9(9*7 "
4<% "3,(&25(@&'(9'A,6&5'@&'(99*7
/;3% $3;4*
;F'6'L!MNM'9' O)&+N&+
TRANSPORTES 19
REFERENCES
$%&'&'*AimsunNext20:DynamicSimulatorsUser’sManual1;
$#87<8/7I3 8<B+%&'''*ThecapabilityandenhancementofVDANLandTWOPASfor
analyzingvehicleperformanceonupgradesanddowngradeswithinIHSDM#"=/8$#<''')9=/
$
$#L%&'&(*Métodoparadeterminaçãodacapacidadeedemedidasdedesempenhoemsegmentosderodoviadepista
simplescomobras<F:0;;>=0B
$#;43%&'(6*MetodologiaparaObtençãodoNíveldeServiçonoPlanoOperacional$G ;4:
34:343
1D I7IC=7#B0=%(665*$$04>"
Proceedingsofthe2ndWorldCongressonIntelligentTransportSystemsMI:
0IC</%(66,*3+Journalof
TransportationEngineering((6(&)NA&<!?('('2(@%$4 ;*'),,6A)O%(66,*((6?(%&)*
!"#$"%&'()*SinalizaçãoTemporária014+F: G "G
1PD<=
B3B%(69(*$TransportationResearchPartB:
Methodological(5&('5N(((<!?('('(2@'(6(&2(5%9(*6'',)'
B3B%(692*$TransportationResearchPartB:Methodological&'
5A',NA(A<!?('('(2@'(6(&2(5%92*6''(&,
/O7M878M78.88%&'(6* +
+Sustainability((A52)(N&(<!?(',,6'@((()A52)
I.74 7#I7.#O8%&''A*
Traf9icandSafetyofRoad)&6')N6(&
C 07CE=7=$47I;1I7$C 7<0 E$=$PD%&'(9* +F:
: 1#'A'F: D EAnaisdo32ºCongressodePesquisae
EnsinoemTransportedaANPET&'(9B#4
4I07I$17 47147$/-7 /M7"#7M878.M.%&'(5*
WorkZoneCapacityMethodsfortheHighwayCapacityManual" /#33-',(')" /
#38<
447"-7=-;0%(662*+
TransportationResearchRecord(5&6(,N6<!?('(())@',2((69(62(5&6''('(
4M%(666*L+TransportationResearchPartB:Methodological
,,)A56NA)(<!?('('(2@4'(6(&2(5%69*'''A,5
#1%&'(2*HighwayCapacityManual2016#18<
>4<!%&''5*TypesofTraf9icAnalysisTools>4<8<
847//Q%&''9*ImpactofLaneClosuresonRoadwayCapacity:DevelopmentofaTwo-LaneWork
ZoneLaneClosureAnalysisProcedure(PartA)=<?=C>4$
.87.C7I$7M8O/%&'()* +
+JournalofTransportationEngineering,PartA:Systems(A,(&'A'()'56<!?
('('2(@I;314''''')9
