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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 856
Modeling to traffic flow on Indian expressway and urban mid-block
section using simulation technique
Venakatesh Patil 1, Tilak P Kurugod 2 , B vinayaka3
123M.Tech, Dept. of civil engineering Reva institute of technology, Bangalore, India
------------------------------------------------------------------------------***-----------------------------------------------------------------------------
Abstract: - The work aims to model the traffic flow on
Indian expressways, by evaluating passenger car unit or
passenger car equivalents of different categories if vehicles
at different volume levels, using Micro simulation model
VISSIM. Hence adopting single PCU for a given vehicle is not
accurate but rather a dynamic or stochastic PCU that
accounts for all the factors should be adopted. This work
also aims to evaluate capacity of expressways and to study
the vehicle composition. From the study, it has been found
that PCU decreases with increase in volume capacity ratio
irrespective of vehicle category. For this study tumkur
flyover is selected as study stretch. The objective of this study
is to estimate and study the possible variation of Passenger
Car Unit (PCU) values of different categories of vehicles at
various traffic volume levels under heterogeneous traffic
conditions prevailing on basic expressway sections of India
in level terrain. VISSIM is used to model the heterogeneous
traffic-flow. Field data collected on traffic flow
characteristics such as free speed, acceleration, lateral
clearance between vehicles, etc. are used for calibration and
validation of the simulation modeling VISSIM. The validated
simulation model is then used to derive Passenger Car Unit
(PCU) values for different types of vehicles.
Key words: heterogeneous traffic flow,
expressways, urban mid-block section, simulation, pcu,
roadway capacity
1. INTRODUCTION
In Indian road, network highways are the standard
grade of roads. At the location of intersection usually
provided with grade, separators and they are 6-8 lane
Controlled access highways. In India approximately 1455.4
km of expressways operational currently. In India, an
expressway is an arterial highway for motorized traffic,
with divided carriageways for high-speed travel, with full
control of access and provided with grade separators is the
definition. In India expressways is different from other
roads in the country which traffic consists of only cars and
trucks where bicycle, three wheelers and two-wheelers are
not allowed to play. By the year 2022, the government of
India aims to expand the highway network and plans to
add additional 18,637 kms of expressways. In measuring
the growth of a country, a well-developed network of
roadways is a key factor. The fact that India ranks 3rd in the
list of the countries by road networks next to United States
and China, so this improving position of India globally.
To determine the traffic volume the non-uniform
speed and vehicle dimensions also present a challenge. By
standardizing the vehicle volume as Passenger Car Unit
(PCU) by converting vehicles with non-uniform
dimensions to passenger car equivalents, the hurdle of
determining heterogeneous traffic volume can overcome.
In traffic it is complicated of studying how non-uniform
interact and effect each other. The interaction among the
vehicles can be shown by the quantum of traffic flow
impeded by a particular vehicle type. To measure Relative
Impedance Passenger Car Unit (PCU) is used. For
measuring traffic capacity or traffic volume PCU is the
standard unit.For both homogeneous and heterogeneous
traffic flows Vissim software is commonly used for
simulation.
1.2 Objectives of the Study
 For the estimation of road capacity and PCU
values base models to be prepared.
 In Vissim the calibrating and validating, the
models for simulation the collected data’s are
used for the traffic are acceleration, lateral
clearance, speed, etc.
 Influence of cars length and speed value, sedan
and hatchbacks cars considering as standard
passengers cars.
 The vehicles of all types to drive passenger car
unit (PCU) the validated simulated model is
used.
2. LITERATURE REVIEW
Various researches to estimate the PCU have adopted
different methodologies. Large proportion of studies
utilized simulation for traffic is to infer the PCU values of
geometrical and for traffic conditions. The process base
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 857
used for estimation is delay, speed, density, headway,
queue discharge. Therefore, in this paper a short
discussion of the previous literature has been made.
2.1 Bang (1995)
In Indonesia using the VTI (Vehicle Truck Interaction)
microscopic simulation model determined PCU’s for
township roads. The PCU values are produced through
successive simulations base the impact of speed of the
light vehicle, because of addition of other types of vehicles
in traffic. Speed-flow relationships for two-way, two-lane,
undivided rural roads were obtained using the VTI
microscopic simulation model. The observed data were
used for validation and calibration the models process and
for studying the effects of cross-section and environmental
conditions on speed and capacity.
2.2 Eric, L.Keller and James.G. (1984)
Author used TRANSYT/ 7N microscopic traffic
simulation tool PCE estimation by considering traffic
volume, signal timing and vehicle size and as a function. As
per this procedure, PCU was estimated by considering the
amount of delay caused by different vehicle types. The PCE
values obtained here were compared with that obtained by
the report of PRC Voorhees for determining PCE value in
intersections at city applying NETSIM model.
2.3 Marwah. B.R. (1976)
In India he was the pioneer of traffic simulation
studied. The function of traffic volume and composition is
the Passenger Car Unit value for a vehicle type assumed in
his approach.
2.4 Sumner. R. et al. (1984)
To compute Passenger Car Equivalent (PCE) value
described a simulation method in their paper. Using
NETSIM the traffic flow was simulated, an enhanced
version of traffic simulation model.
2.5 St.John.A.D. (1976)
He developed a microscopic simulation model to
derive nonlinear truck factor for two-lane highways
including all-important factors those can affect the flows.
As a result indicates that the simulation model of the truck
factor should be nonlinear. This paper presented a brief
description of the simulation, the evidence for a nonlinear
truck factor, and the derivation and testing of the
nonlinear factor.
2.6 Araasan.V.T and Khoshy.R (2004)
They deals with the development and application
of simulation model to standardize service volume and
capacity standards for heterogeneous traffic movement on
city roads.
2.7 Balaji Ponnu,Maanraj Singh Bains & S.S.
Arkathkar,
Used micro-simulation model VISSIM. They evaluated
the Passenger car unit values of various types of vehicles at
different levels of traffic volumes by preparing a model of
traffic flow on Indian expressways. They also evaluated the
capacity of highways and studied the impact on PCU values
by vehicle composition.
2.8 Methodology
Fig-1: Methodology followed
3. DATA COLLECTION
3.1 Study Area
The following conditions are to satisfy the selected stretch
after conducting reconnaissance survey in the study area.
a) Study area must be straight.
b) Study stretch must have uniform width.
c) Study stretch from adjoining areas should not
contain direct access.
In this project there are two area of both expressway
and urban mid-block section. Bangalore to Tumkur
expressway and rastrothana area is the selected areas for
the study. The road width of 1.0m is a two-divided road
with median in the study stretch.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 858
Fig-2: Study Area
3.2 Traffic Survey
In order to generate base model the input data should be
collected from the study stretch.
 The whole duration for one hour, the field traffic
flow data should be collected using digital video
camera in the selected stretch.
 The recorded video id then analyzed by reducing
the speed to 1/8th of the actual speed and from the
recorded video the traffic obtained in expressway
is 1581 vehicles and in urban mid block section is
1436 vehicles per hour.
 By noting down the time took to travel 30.0m
length, all types of vehicles speed were observed.
Under free flow conditions, free speed of all types
of vehicles was observed.
 Any vehicles moving on road traffic stream must
have sufficient lateral clearances should be
maintained between those vehicles.
 The obtained maximum, minimum and mean
speeds of different vehicles types which is
standard deviations are shown below.
Table-1: Free Speed Parameters of various vehicle
categories of expressway
Types of
vehicle
Free speed parameter in km/hr.
Minimum Maximum Mean
Car 50 80 65
Motor bike 60 80 70
LCV 40 60 50
HCV 35 60 48
Table-2: Dimensions of different types of vehicles
Vehicle
type
Length (m) Width (m)
Car 4.7 2.06
Motor bike 2.0 0.84
LCV 4.96 2.07
HCV 11.54 2.69
Table -3: Minimum and Maximum Lateral Clearance for
expressway
Types of vehicle Lateral Clearance share (m)
At 0 speed At 50kmph speed
Motor bike 0.1 0.3
4-wheeler 0.3 0.5
3-wheeler 0.2 0.4
LCV 0.3 0.5
Bus 0.3 0.6
Table-4: Free Speed Parameter of various vehicle
categories of urban street
Types of
vehicle
Free speed parameter in km/hr.
Minimum Maximum Mean
Car 25 55 40
Motor bike 30 80 44
LCV 10 30 20
HCV 20 50 35.46
Auto
rickshaw
15 25 20
Table-5: Dimension of different categories of vehicles
Vehicle
type
Length (m) Width
(m)
Car 4 1.6
Motor bike 1.8 0.6
Auto
rickshaw
2.6 1.4
LCV 6.67 2.6
HCV 10.3 2.5
Table-6: Minimum and Maximum Lateral Clearance of
urban street
Types of vehicle Lateral Clearance share (m)
At 0 speed At 50kmph speed
Motor bike 0.1 0.3
4-wheeler 0.3 0.5
3-wheeler 0.2 0.4
LCV 0.3 0.5
Bus 0.3 0.6
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 859
4. ANALYSIS AND RESULTS
4.1 Validation of the simulation model
From the calibrated model from the collected results
the process of checking is known as validation. In the
simulated values of the parameters in field are traffic
volume and average speed. The obtained volume of traffic
& composition was given as input for simulation process.
After preparing the model the simulation is carried out for
a period of 3600 seconds and the validation is done by
comparing simulated volume and the observed volume in
order to make the simulated volume equal to observed
volume the desired speed distribution is adjusted and the
model is validated.
chart-1: Validation results of Tumkur Flyover
chart -2: Validation Results of rastrothana area
Table-7: Evaluation of simulated volume and observed
volume on Athematic basis
Vehicl
e type
Observe
d volume
Veh/hr
Simulate
d volume
Veh/hr
Differenc
e
Squared
deviatio
n
Car 910 908 2 81
Motor
bike
545 564 -19 900
HCV 59 73 -14 625
LCV 67 80 -13 576
dmean = Mean of the observed difference =44/4=11
t statistic,t0=dmean (Sd/√K)
Where Sd = Standard Deviation, K = number of data sets =
4
Sd
2 = 2182 / (K-1), Sd = 26.96
t0 = 11 / (26.96/√4) = 0.815
From standard t-distribution table the critical
value for t-statistic of 5.0% significance level and for 5.0o of
freedom is 2.36. By the above table the value of t-statistic
(t0) for Tumkur flyover is 0.815 and similarly for
rastrothana area is 0.989. Therefore the calculated value
for t-statistic (t0) from the obtained results is lesser than
the table value. This represents that the simulated volume
considerably represent the observed volume.
4.2 Model application
The various traffic conditions for differentiating traffic
and roadway condition in the study the VISSIM model can
be applied. As shown in the fig in this study model
application refers to the relationship between volume of
traffic and speed on our expressway with four types of
vehicles. It has also been used to quantify the relative
impact of each vehicle on traffic flow by estimating their
PCU values at different volume levels under heterogeneous
traffic conditions prevailing on Indian expressways.
4.3 Capacity & Speed-flow relationships
To find the relationship between volume of traffic
and speed is the basics of the study. By using these
relationships the capacity of the traffic & roadway
conditions can be calculated. In this study as same as that
observed in the field, the relationship was prepared from
the simulated model which is validated and roadway
conditions. the avg speed of the stream was conducted for
different simulation volume, begins from 400.0 vehicle per
0
100
200
300
400
500
600
700
800
900
1000
observed volume
veh/hr
simulated
volume veh/hr
0
100
200
300
400
500
600
700
800
observed volume
veh/hr
simulated
volume veh/hr
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 860
hour for the road capacity. Addition of volume-speed
relation considered with 100.0 % simulated flow of traffic
composition for different vehicle types.
The capacity is estimated from the speed flow graph
Chart-3: Speed flow graph for the observed heterogeneous
traffic of expressway
Chart-4: Speed flow graph for the observed heterogeneous
traffic of rastrothana area
It can be observed that the capacity of the two lane
expressway and urban mid-block section under
heterogeneous traffic condition and observed traffic
composition is 5253 and 2603 vehicles per hour as from
the fig.
The estimated capacity of 100% cars under homogeneous
traffic.
Chart-5: Speed flow graph for homogeneous traffic
condition of expressway
Chart-6: Speed flow graph for homogeneous traffic
condition of urban street
The capacity of expressway and urban mid block
section under homogeneous traffic condition is found to
5410 and 2856 cars per hour.
4.4 Estimation of PCU values
To expressed in terms of PCU as explained in the
introduction, in India the traffic is seem to be
heterogeneous traffic flow of vehicles with different
driving behavior of drivers with the commonly fluctuating
dynamic and static characteristic. In terms of equivalent
Passenger Car Unit different vehicle categories such as
LCV, HCV etc., can be expressed. This necessitates an
accurate estimation of Passenger Car Unit which varies
dynamically with various traffic flow parameters such as
y = -0.0039x +
83.866
R² = 0.9579
0
20
40
60
80
100
0 5000 10000
speed
volume (vph)
speed
speed
Linear (speed)
y = -0.0004x + 40.719
R² = 0.8179
38
38.5
39
39.5
40
40.5
41
41.5
42
0 2000 4000 6000
speed
volume (vph)
speed
speed
Linear
(speed)
y = -0.0009x + 86.68
R² = 0.9919
80
81
82
83
84
85
86
87
0 5000 10000
speed
volume
speed
speed
y = -0.0007x +
42.523
R² = 0.9888
39.5
40
40.5
41
41.5
42
42.5
43
0 2000 4000 6000
AxisTitle
Axis Title
speed
speed
Linear (speed)
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 861
steam speed, vehicle composition and volume capacity
ratio.
The PCU of the vehicle was calculated from the equation
=
⁄
⁄
……
Where, Passenger car unit of vehicle type i = PCUi.
Speed of a 4-wheeler and vehicles type i, respectively = Vc,
Vi;
Projected rectangular area of a 4-wheeler and vehicles
type I = Ac, Ai.
To emphasize their dynamic nature, Passenger
Car Unit value of various types of vehicles can be estimated
using 8.0 various V/C ratios are .1250, .2500, .3750, .5000,
.6250, .7500, .8750 and 1.00 were calculated using
simulation. The capacity values are required for the
estimation of this volume capacity ratios were collected
from the speed flow graph. For the purpose of simulation,
eight traffic volume levels corresponding to these V/C
ratios with same compositions as observed in the field
were considered.
Example: At V/C ratio = 0.125,
V/5253 = 0.125,
V= 657 vehicles/ hour similarly for all V/C ratios
the simulation runs are carried for one hour duration and
the below two fig explains the volume entered into the
software and the output speed is taken for the entered
volume. The results obtained are tabulated in the table
below.
Table-8: Passenger Car Unit value of various vehicle
classes at different V/C ratios of expressway
V/C
ratio
Motor
bike
Car HCV LCV
0.125 0.198 1 4.974 1.560
0.250 0.197 1 4.933 1.550
0.275 0.197 1 4.903 1.539
0.5 0.196 1 4.889 1.533
0.625 0.195 1 4.870 1.525
0.75 0.195 1 4.854 1.515
0.875 0.194 1 4.842 1.510
1.00 0.194 1 4.826 1.502
Table-9: Passenger Car Unit values of various vehicle
classes at various V/C ratios of urban street
V/C
ratio
Motor
bike
Car Auto LCV HCV
0.125 0.170 1 0.4073 1.362 4.132
0.250 0.171 1 0.4050 1.366 4.121
0.275 0.170 1 0.4071 1.369 4.137
0.5 0.170 1 0.4089 1.372 4.118
0.625 0.173 1 0.4135 1.373 4.108
0.75 0.176 1 0.4153 1.381 4.099
0.875 0.175 1 0.4167 1.370 4.083
1.00 0.175 1 0.4166 1.377 4.085
From the above table it can be seen that for the
vehicles larger than car like bus and LCV the PCU increases
at less volume level and reduces the growth in traffic
volume. The reason for this is at lower volume levels. The
subject vehicles like buses move slowly even under free
flow condition. Hence there is a larger space headway
between the vehicles as a result 4-wheelers can overtake
the buses without much reduction in speed resulting in
higher PCU values and at higher volume levels space
headway decrease vehicles come very closer and there is
an opposition to the movement of cars. As a result the
speed of the cars decreases resulting in decrease in
magnitude of PCU value because of this, the difference in
percentage speed change between cars and buses is lesser
at higher V/C ratios, resulting in lesser PCU values.
4.5 Influence of traffic composition on PCU values
The effect of composition of different categories of
vehicles should be studied in the following manner. Firstly,
the car composition are simulated, the capacity of the
facility was found and then by adding various proportions
(10.0%, 20.0%, 30.0%, 40.0%, 50.0%) of HCV were added
to this 4-wheeler and then simulation is taken for one hour
duration and estimate the capacity. The results show that
the capacity of the stretch is decreases as the volume
increases.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 862
Chart-7: Speed flow relationship for cars and truck traffic
steam
Chart-8: Variations of PCU values due to percentage
variation of buses at different V/C ratio
The capacity calculated with the above speed-flow
relationship for various composition were used to evaluate
the Volume / Capacity ratios and then Passenger Car Unit
value for every Volume / Capacity ratios were found by
using the above formula. This Passenger Car Unit has been
adopted in the form of graph as shown above. The
Passenger Car Unit value of HCV decreases as Volume /
Capacity ratios increases because of obtained speed
difference between cars & HCV. Passenger Car Unit value
of HCV decreases as proportion of HCV increases in the
traffic stream, which is due to “platooning effect”.
4.6 Accuracy Check for the estimated PCU values
Accuracy Check for the estimated PCU values was done by
adopting the following procedure. Initially only
heterogeneous traffic flow was simulated for the detected
traffic configurations and for the designated V/C ratios
before the no of vehicles exited out at end of the simulation
area is noted down and each vehicle category is multiplied
by the respective Passenger Car Unit values obtained and
the products are added to change the traffic flow to PCU
per hour. Then Cars only traffic is simulated for the same
volume capacity ratios and the number of cars coming out
from the simulation stretch is noted. In order to estimate
the accuracy the statistical analysis is done by performing
the paired T-test on simulated cars/hour and Simulated
traffic/hour. The details of the paired t-test are shown in
the table below.
Table-10: Details of the paired t-test
V/C
rati
o
Cars/h
our
Traffic
flow/h
our
Differe
nce
Deviati
on
from
the
mean
differe
nce
Square
of the
deviati
on
from
mean
differe
nce
0.1
25
676 700 -24 -58.125 3378.51
0.2
50
1352 1338 -14 -48.125 2316.01
0.3
75
2029 2032 -3 -37.125 1378.26
0.5 2705 2681 24 -10.125 102.51
0.6
25
3381 3343 38 3.875 15.015
0.7
5
4057 4010 47 12.875 165.76
0.8
75
4734 4655 79 44.875 2013.76
1 5410 5284 126 91.875 8441.01
∑=273 17810.8
35
dmean= Mean of the observed difference=34.125,
t statistic,t0=dmean/(Sd/√K)
Where Sd= standard deviation,
0
10
20
30
40
50
60
70
80
90
0 2000 4000 6000
10% B 20%B 30%B
40%B 50%B
volume (vph)
speedkmph
R² = 0.8902
R² = 0.9722
R² = 0.9516
R² = 0.8734
R² = 0.8612
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
0 0.5 1 1.5
pcuvalueofbusses
v/c ratio
10
%B
20
%B
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 863
K= number of data sets=8,
Sd
2=17810.835/(K-1),Sd=50.442,
t0= 34.125/ (50.442/√8) =1.9134
From standard t-distribution table the critical value
of t-statistic at 0.5% significance level and for 7degrees of
freedom is 4.79. From the above table the value of t-
statistic (t0) for Tumkur flyover is 1.9134 and similarly for
rastrothana area is 2.026. Therefore, the calculated value
of t-statistic (t0) for the observed data is less than the
corresponding table value. This indicates that the
difference of the measured volume in terms of Passenger
Car Unit/hr and cars/hr signifying the projected the values
of Passenger Car Unit are accurate for various vehicles.
5. CONCLUSION
1. VISSIM software is found to be satisfactory in
simulating the heterogeneous traffic form by the
practical observation and from the validation
results of the model.
2. For the further validation of the model to
determine the capacity of the urban mid-block
section the speed volume relationship established.
3. By simulating the heterogeneous traffic condition
in VISSIM the capacity of two lane urban mid-
block section is found to be 2120PCU/hour.
4. A PCU value of different vehicle classes obtained
by simulating the traffic at different flow levels
varies in the volume was discovered.
5. There is a decrease in the PCU values of the
vehicle class with the growth in volume because to
reduction in difference in speed as increase in
volume from free flow to capacity is concluded
from simulation results.
6. There is a reduction in values of Passenger Car
Unit of all classes’ vehicles when there is increase
in its proportion was found from the study.
7. It can also be able to say that the vehicle PCU
value is treated as a dynamic measure rather than
taking it as a stable value for the considered traffic
condition.
8. When compared to that of the sedan car the length
and speed of the car inversely depends on PCU
values and by considering hatchbacks as standard
passenger cars the PCU values are found to be
higher was found from the study
5.1Future Scope and Study
The extension of the study can be done to find the extent of
heterogeneity by studying the lane behavior and lane
discipline between the vehicles, which the vehicles follows
and which does not follow the lane discipline.
REFERENCES
 Al-Kaisy, A., Hall. F., & Riesman, E. (2002).
Developing passenger car equivalents for heavy
vehicles on freeways during queue discharge flow.
Transportation Research Part A, Vol.36, pp.725-
742.
 Al-Kaisy, A., Jung, Y., & Rakha, H. (2005).
Developing Passenger Car Equivalency Factors for
Heavy Vehicles during Congestion. Journal of
Transportation Engineering, Vol.131, pp. 514-523.
 Arasan, V. T., & Koshy, R. Z.(2005). Methodology
for modeling highly heterogeneous traffic flow.
Journal of Transportation Engineering, Vol.131,
pp. 544 – 551.
 Bang K. L., Nissan, A., & Koutsopoulos, H. N.
(2011), Country Reports, the 6th International
Symposium on Highway Capacity and Quality of
Service, Stockholm, Sweden.
 Chandra, S. (2004). Capacity estimation procedure
for two lane roads under mixed traffic conditions.
Journal of Indian Road Congress, Vol.165, pp. 139-
170.
 Chandra, S., & Kumar, U. (2003).Effect of lane
width on capacity under mixed traffic conditions
in India. Journal of Transportation Engineering,
Vol.129, pp.155-160.
 Chandra, S., P. K. Sikdar. & V. Kumar (1995)
Dynamic PCU estimation of capacity on urban
roads. Indian Highways, Vol.23, pp.17– 28.
 Craus, J., Polus, A., & Grinberg, I. A. (1980).Revised
method for the determination of passenger car
equivalencies. Transportation Research Part A,
Vol.14, pp.241-246.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072
© 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 864
BIOGRAPHIES
Mr.venkatesh patil has
completed BE from Rural
Engineering college and M.Tech
from Reva college of
Engineering, Bangalore. His area
of interest is recent trends in
transportation engineering
Mr.Tilak .P.Kurugod has
completed BE from Rural
Engineering college and M.Tech
from Reva college of
Engineering, Bangalore. His
area of interest is recent trends
in transportation engineering
Mr. B. Vinayaka completed
Mtech from Reva College of
engineering. He has completed
civil
engineering from Reva College of
engineering, Bangalore. Awarded
gold medal from VTU in
Mtech. His area of research is
present trend in transportation
engg.

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Modeling to Traffic Flow on Indian Expressway and Urban Mid-Block Section using Simulation Technique

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 856 Modeling to traffic flow on Indian expressway and urban mid-block section using simulation technique Venakatesh Patil 1, Tilak P Kurugod 2 , B vinayaka3 123M.Tech, Dept. of civil engineering Reva institute of technology, Bangalore, India ------------------------------------------------------------------------------***----------------------------------------------------------------------------- Abstract: - The work aims to model the traffic flow on Indian expressways, by evaluating passenger car unit or passenger car equivalents of different categories if vehicles at different volume levels, using Micro simulation model VISSIM. Hence adopting single PCU for a given vehicle is not accurate but rather a dynamic or stochastic PCU that accounts for all the factors should be adopted. This work also aims to evaluate capacity of expressways and to study the vehicle composition. From the study, it has been found that PCU decreases with increase in volume capacity ratio irrespective of vehicle category. For this study tumkur flyover is selected as study stretch. The objective of this study is to estimate and study the possible variation of Passenger Car Unit (PCU) values of different categories of vehicles at various traffic volume levels under heterogeneous traffic conditions prevailing on basic expressway sections of India in level terrain. VISSIM is used to model the heterogeneous traffic-flow. Field data collected on traffic flow characteristics such as free speed, acceleration, lateral clearance between vehicles, etc. are used for calibration and validation of the simulation modeling VISSIM. The validated simulation model is then used to derive Passenger Car Unit (PCU) values for different types of vehicles. Key words: heterogeneous traffic flow, expressways, urban mid-block section, simulation, pcu, roadway capacity 1. INTRODUCTION In Indian road, network highways are the standard grade of roads. At the location of intersection usually provided with grade, separators and they are 6-8 lane Controlled access highways. In India approximately 1455.4 km of expressways operational currently. In India, an expressway is an arterial highway for motorized traffic, with divided carriageways for high-speed travel, with full control of access and provided with grade separators is the definition. In India expressways is different from other roads in the country which traffic consists of only cars and trucks where bicycle, three wheelers and two-wheelers are not allowed to play. By the year 2022, the government of India aims to expand the highway network and plans to add additional 18,637 kms of expressways. In measuring the growth of a country, a well-developed network of roadways is a key factor. The fact that India ranks 3rd in the list of the countries by road networks next to United States and China, so this improving position of India globally. To determine the traffic volume the non-uniform speed and vehicle dimensions also present a challenge. By standardizing the vehicle volume as Passenger Car Unit (PCU) by converting vehicles with non-uniform dimensions to passenger car equivalents, the hurdle of determining heterogeneous traffic volume can overcome. In traffic it is complicated of studying how non-uniform interact and effect each other. The interaction among the vehicles can be shown by the quantum of traffic flow impeded by a particular vehicle type. To measure Relative Impedance Passenger Car Unit (PCU) is used. For measuring traffic capacity or traffic volume PCU is the standard unit.For both homogeneous and heterogeneous traffic flows Vissim software is commonly used for simulation. 1.2 Objectives of the Study  For the estimation of road capacity and PCU values base models to be prepared.  In Vissim the calibrating and validating, the models for simulation the collected data’s are used for the traffic are acceleration, lateral clearance, speed, etc.  Influence of cars length and speed value, sedan and hatchbacks cars considering as standard passengers cars.  The vehicles of all types to drive passenger car unit (PCU) the validated simulated model is used. 2. LITERATURE REVIEW Various researches to estimate the PCU have adopted different methodologies. Large proportion of studies utilized simulation for traffic is to infer the PCU values of geometrical and for traffic conditions. The process base
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 857 used for estimation is delay, speed, density, headway, queue discharge. Therefore, in this paper a short discussion of the previous literature has been made. 2.1 Bang (1995) In Indonesia using the VTI (Vehicle Truck Interaction) microscopic simulation model determined PCU’s for township roads. The PCU values are produced through successive simulations base the impact of speed of the light vehicle, because of addition of other types of vehicles in traffic. Speed-flow relationships for two-way, two-lane, undivided rural roads were obtained using the VTI microscopic simulation model. The observed data were used for validation and calibration the models process and for studying the effects of cross-section and environmental conditions on speed and capacity. 2.2 Eric, L.Keller and James.G. (1984) Author used TRANSYT/ 7N microscopic traffic simulation tool PCE estimation by considering traffic volume, signal timing and vehicle size and as a function. As per this procedure, PCU was estimated by considering the amount of delay caused by different vehicle types. The PCE values obtained here were compared with that obtained by the report of PRC Voorhees for determining PCE value in intersections at city applying NETSIM model. 2.3 Marwah. B.R. (1976) In India he was the pioneer of traffic simulation studied. The function of traffic volume and composition is the Passenger Car Unit value for a vehicle type assumed in his approach. 2.4 Sumner. R. et al. (1984) To compute Passenger Car Equivalent (PCE) value described a simulation method in their paper. Using NETSIM the traffic flow was simulated, an enhanced version of traffic simulation model. 2.5 St.John.A.D. (1976) He developed a microscopic simulation model to derive nonlinear truck factor for two-lane highways including all-important factors those can affect the flows. As a result indicates that the simulation model of the truck factor should be nonlinear. This paper presented a brief description of the simulation, the evidence for a nonlinear truck factor, and the derivation and testing of the nonlinear factor. 2.6 Araasan.V.T and Khoshy.R (2004) They deals with the development and application of simulation model to standardize service volume and capacity standards for heterogeneous traffic movement on city roads. 2.7 Balaji Ponnu,Maanraj Singh Bains & S.S. Arkathkar, Used micro-simulation model VISSIM. They evaluated the Passenger car unit values of various types of vehicles at different levels of traffic volumes by preparing a model of traffic flow on Indian expressways. They also evaluated the capacity of highways and studied the impact on PCU values by vehicle composition. 2.8 Methodology Fig-1: Methodology followed 3. DATA COLLECTION 3.1 Study Area The following conditions are to satisfy the selected stretch after conducting reconnaissance survey in the study area. a) Study area must be straight. b) Study stretch must have uniform width. c) Study stretch from adjoining areas should not contain direct access. In this project there are two area of both expressway and urban mid-block section. Bangalore to Tumkur expressway and rastrothana area is the selected areas for the study. The road width of 1.0m is a two-divided road with median in the study stretch.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 858 Fig-2: Study Area 3.2 Traffic Survey In order to generate base model the input data should be collected from the study stretch.  The whole duration for one hour, the field traffic flow data should be collected using digital video camera in the selected stretch.  The recorded video id then analyzed by reducing the speed to 1/8th of the actual speed and from the recorded video the traffic obtained in expressway is 1581 vehicles and in urban mid block section is 1436 vehicles per hour.  By noting down the time took to travel 30.0m length, all types of vehicles speed were observed. Under free flow conditions, free speed of all types of vehicles was observed.  Any vehicles moving on road traffic stream must have sufficient lateral clearances should be maintained between those vehicles.  The obtained maximum, minimum and mean speeds of different vehicles types which is standard deviations are shown below. Table-1: Free Speed Parameters of various vehicle categories of expressway Types of vehicle Free speed parameter in km/hr. Minimum Maximum Mean Car 50 80 65 Motor bike 60 80 70 LCV 40 60 50 HCV 35 60 48 Table-2: Dimensions of different types of vehicles Vehicle type Length (m) Width (m) Car 4.7 2.06 Motor bike 2.0 0.84 LCV 4.96 2.07 HCV 11.54 2.69 Table -3: Minimum and Maximum Lateral Clearance for expressway Types of vehicle Lateral Clearance share (m) At 0 speed At 50kmph speed Motor bike 0.1 0.3 4-wheeler 0.3 0.5 3-wheeler 0.2 0.4 LCV 0.3 0.5 Bus 0.3 0.6 Table-4: Free Speed Parameter of various vehicle categories of urban street Types of vehicle Free speed parameter in km/hr. Minimum Maximum Mean Car 25 55 40 Motor bike 30 80 44 LCV 10 30 20 HCV 20 50 35.46 Auto rickshaw 15 25 20 Table-5: Dimension of different categories of vehicles Vehicle type Length (m) Width (m) Car 4 1.6 Motor bike 1.8 0.6 Auto rickshaw 2.6 1.4 LCV 6.67 2.6 HCV 10.3 2.5 Table-6: Minimum and Maximum Lateral Clearance of urban street Types of vehicle Lateral Clearance share (m) At 0 speed At 50kmph speed Motor bike 0.1 0.3 4-wheeler 0.3 0.5 3-wheeler 0.2 0.4 LCV 0.3 0.5 Bus 0.3 0.6
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 859 4. ANALYSIS AND RESULTS 4.1 Validation of the simulation model From the calibrated model from the collected results the process of checking is known as validation. In the simulated values of the parameters in field are traffic volume and average speed. The obtained volume of traffic & composition was given as input for simulation process. After preparing the model the simulation is carried out for a period of 3600 seconds and the validation is done by comparing simulated volume and the observed volume in order to make the simulated volume equal to observed volume the desired speed distribution is adjusted and the model is validated. chart-1: Validation results of Tumkur Flyover chart -2: Validation Results of rastrothana area Table-7: Evaluation of simulated volume and observed volume on Athematic basis Vehicl e type Observe d volume Veh/hr Simulate d volume Veh/hr Differenc e Squared deviatio n Car 910 908 2 81 Motor bike 545 564 -19 900 HCV 59 73 -14 625 LCV 67 80 -13 576 dmean = Mean of the observed difference =44/4=11 t statistic,t0=dmean (Sd/√K) Where Sd = Standard Deviation, K = number of data sets = 4 Sd 2 = 2182 / (K-1), Sd = 26.96 t0 = 11 / (26.96/√4) = 0.815 From standard t-distribution table the critical value for t-statistic of 5.0% significance level and for 5.0o of freedom is 2.36. By the above table the value of t-statistic (t0) for Tumkur flyover is 0.815 and similarly for rastrothana area is 0.989. Therefore the calculated value for t-statistic (t0) from the obtained results is lesser than the table value. This represents that the simulated volume considerably represent the observed volume. 4.2 Model application The various traffic conditions for differentiating traffic and roadway condition in the study the VISSIM model can be applied. As shown in the fig in this study model application refers to the relationship between volume of traffic and speed on our expressway with four types of vehicles. It has also been used to quantify the relative impact of each vehicle on traffic flow by estimating their PCU values at different volume levels under heterogeneous traffic conditions prevailing on Indian expressways. 4.3 Capacity & Speed-flow relationships To find the relationship between volume of traffic and speed is the basics of the study. By using these relationships the capacity of the traffic & roadway conditions can be calculated. In this study as same as that observed in the field, the relationship was prepared from the simulated model which is validated and roadway conditions. the avg speed of the stream was conducted for different simulation volume, begins from 400.0 vehicle per 0 100 200 300 400 500 600 700 800 900 1000 observed volume veh/hr simulated volume veh/hr 0 100 200 300 400 500 600 700 800 observed volume veh/hr simulated volume veh/hr
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 860 hour for the road capacity. Addition of volume-speed relation considered with 100.0 % simulated flow of traffic composition for different vehicle types. The capacity is estimated from the speed flow graph Chart-3: Speed flow graph for the observed heterogeneous traffic of expressway Chart-4: Speed flow graph for the observed heterogeneous traffic of rastrothana area It can be observed that the capacity of the two lane expressway and urban mid-block section under heterogeneous traffic condition and observed traffic composition is 5253 and 2603 vehicles per hour as from the fig. The estimated capacity of 100% cars under homogeneous traffic. Chart-5: Speed flow graph for homogeneous traffic condition of expressway Chart-6: Speed flow graph for homogeneous traffic condition of urban street The capacity of expressway and urban mid block section under homogeneous traffic condition is found to 5410 and 2856 cars per hour. 4.4 Estimation of PCU values To expressed in terms of PCU as explained in the introduction, in India the traffic is seem to be heterogeneous traffic flow of vehicles with different driving behavior of drivers with the commonly fluctuating dynamic and static characteristic. In terms of equivalent Passenger Car Unit different vehicle categories such as LCV, HCV etc., can be expressed. This necessitates an accurate estimation of Passenger Car Unit which varies dynamically with various traffic flow parameters such as y = -0.0039x + 83.866 R² = 0.9579 0 20 40 60 80 100 0 5000 10000 speed volume (vph) speed speed Linear (speed) y = -0.0004x + 40.719 R² = 0.8179 38 38.5 39 39.5 40 40.5 41 41.5 42 0 2000 4000 6000 speed volume (vph) speed speed Linear (speed) y = -0.0009x + 86.68 R² = 0.9919 80 81 82 83 84 85 86 87 0 5000 10000 speed volume speed speed y = -0.0007x + 42.523 R² = 0.9888 39.5 40 40.5 41 41.5 42 42.5 43 0 2000 4000 6000 AxisTitle Axis Title speed speed Linear (speed)
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 861 steam speed, vehicle composition and volume capacity ratio. The PCU of the vehicle was calculated from the equation = ⁄ ⁄ …… Where, Passenger car unit of vehicle type i = PCUi. Speed of a 4-wheeler and vehicles type i, respectively = Vc, Vi; Projected rectangular area of a 4-wheeler and vehicles type I = Ac, Ai. To emphasize their dynamic nature, Passenger Car Unit value of various types of vehicles can be estimated using 8.0 various V/C ratios are .1250, .2500, .3750, .5000, .6250, .7500, .8750 and 1.00 were calculated using simulation. The capacity values are required for the estimation of this volume capacity ratios were collected from the speed flow graph. For the purpose of simulation, eight traffic volume levels corresponding to these V/C ratios with same compositions as observed in the field were considered. Example: At V/C ratio = 0.125, V/5253 = 0.125, V= 657 vehicles/ hour similarly for all V/C ratios the simulation runs are carried for one hour duration and the below two fig explains the volume entered into the software and the output speed is taken for the entered volume. The results obtained are tabulated in the table below. Table-8: Passenger Car Unit value of various vehicle classes at different V/C ratios of expressway V/C ratio Motor bike Car HCV LCV 0.125 0.198 1 4.974 1.560 0.250 0.197 1 4.933 1.550 0.275 0.197 1 4.903 1.539 0.5 0.196 1 4.889 1.533 0.625 0.195 1 4.870 1.525 0.75 0.195 1 4.854 1.515 0.875 0.194 1 4.842 1.510 1.00 0.194 1 4.826 1.502 Table-9: Passenger Car Unit values of various vehicle classes at various V/C ratios of urban street V/C ratio Motor bike Car Auto LCV HCV 0.125 0.170 1 0.4073 1.362 4.132 0.250 0.171 1 0.4050 1.366 4.121 0.275 0.170 1 0.4071 1.369 4.137 0.5 0.170 1 0.4089 1.372 4.118 0.625 0.173 1 0.4135 1.373 4.108 0.75 0.176 1 0.4153 1.381 4.099 0.875 0.175 1 0.4167 1.370 4.083 1.00 0.175 1 0.4166 1.377 4.085 From the above table it can be seen that for the vehicles larger than car like bus and LCV the PCU increases at less volume level and reduces the growth in traffic volume. The reason for this is at lower volume levels. The subject vehicles like buses move slowly even under free flow condition. Hence there is a larger space headway between the vehicles as a result 4-wheelers can overtake the buses without much reduction in speed resulting in higher PCU values and at higher volume levels space headway decrease vehicles come very closer and there is an opposition to the movement of cars. As a result the speed of the cars decreases resulting in decrease in magnitude of PCU value because of this, the difference in percentage speed change between cars and buses is lesser at higher V/C ratios, resulting in lesser PCU values. 4.5 Influence of traffic composition on PCU values The effect of composition of different categories of vehicles should be studied in the following manner. Firstly, the car composition are simulated, the capacity of the facility was found and then by adding various proportions (10.0%, 20.0%, 30.0%, 40.0%, 50.0%) of HCV were added to this 4-wheeler and then simulation is taken for one hour duration and estimate the capacity. The results show that the capacity of the stretch is decreases as the volume increases.
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 862 Chart-7: Speed flow relationship for cars and truck traffic steam Chart-8: Variations of PCU values due to percentage variation of buses at different V/C ratio The capacity calculated with the above speed-flow relationship for various composition were used to evaluate the Volume / Capacity ratios and then Passenger Car Unit value for every Volume / Capacity ratios were found by using the above formula. This Passenger Car Unit has been adopted in the form of graph as shown above. The Passenger Car Unit value of HCV decreases as Volume / Capacity ratios increases because of obtained speed difference between cars & HCV. Passenger Car Unit value of HCV decreases as proportion of HCV increases in the traffic stream, which is due to “platooning effect”. 4.6 Accuracy Check for the estimated PCU values Accuracy Check for the estimated PCU values was done by adopting the following procedure. Initially only heterogeneous traffic flow was simulated for the detected traffic configurations and for the designated V/C ratios before the no of vehicles exited out at end of the simulation area is noted down and each vehicle category is multiplied by the respective Passenger Car Unit values obtained and the products are added to change the traffic flow to PCU per hour. Then Cars only traffic is simulated for the same volume capacity ratios and the number of cars coming out from the simulation stretch is noted. In order to estimate the accuracy the statistical analysis is done by performing the paired T-test on simulated cars/hour and Simulated traffic/hour. The details of the paired t-test are shown in the table below. Table-10: Details of the paired t-test V/C rati o Cars/h our Traffic flow/h our Differe nce Deviati on from the mean differe nce Square of the deviati on from mean differe nce 0.1 25 676 700 -24 -58.125 3378.51 0.2 50 1352 1338 -14 -48.125 2316.01 0.3 75 2029 2032 -3 -37.125 1378.26 0.5 2705 2681 24 -10.125 102.51 0.6 25 3381 3343 38 3.875 15.015 0.7 5 4057 4010 47 12.875 165.76 0.8 75 4734 4655 79 44.875 2013.76 1 5410 5284 126 91.875 8441.01 ∑=273 17810.8 35 dmean= Mean of the observed difference=34.125, t statistic,t0=dmean/(Sd/√K) Where Sd= standard deviation, 0 10 20 30 40 50 60 70 80 90 0 2000 4000 6000 10% B 20%B 30%B 40%B 50%B volume (vph) speedkmph R² = 0.8902 R² = 0.9722 R² = 0.9516 R² = 0.8734 R² = 0.8612 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 0 0.5 1 1.5 pcuvalueofbusses v/c ratio 10 %B 20 %B
  • 8. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 863 K= number of data sets=8, Sd 2=17810.835/(K-1),Sd=50.442, t0= 34.125/ (50.442/√8) =1.9134 From standard t-distribution table the critical value of t-statistic at 0.5% significance level and for 7degrees of freedom is 4.79. From the above table the value of t- statistic (t0) for Tumkur flyover is 1.9134 and similarly for rastrothana area is 2.026. Therefore, the calculated value of t-statistic (t0) for the observed data is less than the corresponding table value. This indicates that the difference of the measured volume in terms of Passenger Car Unit/hr and cars/hr signifying the projected the values of Passenger Car Unit are accurate for various vehicles. 5. CONCLUSION 1. VISSIM software is found to be satisfactory in simulating the heterogeneous traffic form by the practical observation and from the validation results of the model. 2. For the further validation of the model to determine the capacity of the urban mid-block section the speed volume relationship established. 3. By simulating the heterogeneous traffic condition in VISSIM the capacity of two lane urban mid- block section is found to be 2120PCU/hour. 4. A PCU value of different vehicle classes obtained by simulating the traffic at different flow levels varies in the volume was discovered. 5. There is a decrease in the PCU values of the vehicle class with the growth in volume because to reduction in difference in speed as increase in volume from free flow to capacity is concluded from simulation results. 6. There is a reduction in values of Passenger Car Unit of all classes’ vehicles when there is increase in its proportion was found from the study. 7. It can also be able to say that the vehicle PCU value is treated as a dynamic measure rather than taking it as a stable value for the considered traffic condition. 8. When compared to that of the sedan car the length and speed of the car inversely depends on PCU values and by considering hatchbacks as standard passenger cars the PCU values are found to be higher was found from the study 5.1Future Scope and Study The extension of the study can be done to find the extent of heterogeneity by studying the lane behavior and lane discipline between the vehicles, which the vehicles follows and which does not follow the lane discipline. REFERENCES  Al-Kaisy, A., Hall. F., & Riesman, E. (2002). Developing passenger car equivalents for heavy vehicles on freeways during queue discharge flow. Transportation Research Part A, Vol.36, pp.725- 742.  Al-Kaisy, A., Jung, Y., & Rakha, H. (2005). Developing Passenger Car Equivalency Factors for Heavy Vehicles during Congestion. Journal of Transportation Engineering, Vol.131, pp. 514-523.  Arasan, V. T., & Koshy, R. Z.(2005). Methodology for modeling highly heterogeneous traffic flow. Journal of Transportation Engineering, Vol.131, pp. 544 – 551.  Bang K. L., Nissan, A., & Koutsopoulos, H. N. (2011), Country Reports, the 6th International Symposium on Highway Capacity and Quality of Service, Stockholm, Sweden.  Chandra, S. (2004). Capacity estimation procedure for two lane roads under mixed traffic conditions. Journal of Indian Road Congress, Vol.165, pp. 139- 170.  Chandra, S., & Kumar, U. (2003).Effect of lane width on capacity under mixed traffic conditions in India. Journal of Transportation Engineering, Vol.129, pp.155-160.  Chandra, S., P. K. Sikdar. & V. Kumar (1995) Dynamic PCU estimation of capacity on urban roads. Indian Highways, Vol.23, pp.17– 28.  Craus, J., Polus, A., & Grinberg, I. A. (1980).Revised method for the determination of passenger car equivalencies. Transportation Research Part A, Vol.14, pp.241-246.
  • 9. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 07 | July -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 864 BIOGRAPHIES Mr.venkatesh patil has completed BE from Rural Engineering college and M.Tech from Reva college of Engineering, Bangalore. His area of interest is recent trends in transportation engineering Mr.Tilak .P.Kurugod has completed BE from Rural Engineering college and M.Tech from Reva college of Engineering, Bangalore. His area of interest is recent trends in transportation engineering Mr. B. Vinayaka completed Mtech from Reva College of engineering. He has completed civil engineering from Reva College of engineering, Bangalore. Awarded gold medal from VTU in Mtech. His area of research is present trend in transportation engg.