analysis of car behavior in matsuyama city

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ANALYSIS OF CAR BEHAVIOR IN MATSUYAMA CITY (USING PROBE PERSON DATA) TEAM “G” The University of Tokyo, Japan & The University of Central Punjab, Lahore, Pakistan 16-Sep 2018

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ANALYSIS OF CAR BEHAVIOR IN

MATSUYAMA CITY

(USING PROBE PERSON DATA)

TEAM “G”

T h e U n i v e r s i t y o f To k yo, Ja p a n

&

T h e U n i v e r s i t y o f C e n t r a l P u n j a b, L a h o r e , P a k i s t a n

16-Sep

2018

GROUP INTRODUCTION

Ahsan Umer

Ali Habib

Khan Shehroze Khalid

Abbasi Babar

Yamamoto Shotaro

University of Central

Punjab, Lahore Pakistan

The University of Tokyo,

Japan

1

2

3

4

5

1

TARGET AREA

❖ According to the PT survey conducted in 2007, car

usage is more than half showing the Expanding Car

Usage in Matsuyama City

➢ Located in Ehime Prefecture on Shikoku Island (Western part of

Japan)

➢ Capital and Largest City of Ehime Prefecture with

Population = 516, 643 (as of January 1, 2014), Area = 429.06 m2

and No. of Households = 229,916.

MATSUYAMA CITY

2

DATA CHARACTERISTICS & PREPARATION

Data Preparation for reducing

computational load on RL Model

Data (Given for Exercise)

Probe Person (PP Data) Network Data

Location Data(Sequential GPS Log i.e. Latitude &

Longitude)

Trip Data(OD, Duration, Mode, Purpose)

Path Choice Can be Assumed

Combination

Problem Approach

How to assume

the Actual

Path?

Map Matching

Algorithm

FOCUSCentral Area of

Matsuyama City

Extracted the OD Data and

Network Data for Central Area of

Matsuyama City

Extraction of Data

Reason of Extraction

3

INTRODUCED POLICIES

Focus on Central Area

Attempts to make some roads Pedestrian

Friendly

Car Flow Restraint

(In central Area)

4

PRELIMINARY ANALYSIS

Whole City Central Area

Purpose of Trip

Pe

rce

nta

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sh

are

d b

y e

ac

h M

od

e

Purpose of Trip

Pe

rce

nta

ge

sh

are

d b

y e

ac

h M

od

e

Legend

5

FORMULATION OF MODEL

➢ 𝜷-SCALED RECURSIVE LOGIT MODEL; OYAMA AND HATO 2016

➢ Consider a directed connected graph;𝐺 = 𝐴,𝑁 ,where 𝐴 − set of links, 𝑁 − set of nodes

➢ The instantaneous random utility of a link 𝑎𝑗 condition on being in state 𝑎𝑗−1 is given by,

➢ The total utility of link 𝑎𝑗 given the state 𝑎𝑗−1 is formulated by sum of the instantaneous utility 𝒖𝒏 𝒂𝒋|𝒂𝒋−𝟏 and maximum

expected downstream utility up to the destination link 𝑑, denoted as value function 𝑽𝒏𝒅 𝒂𝒋 and defined by the Bellman

equation (Bellman, 1957); 𝑽𝒏𝒅 𝒂𝒋 = 𝐄 𝐦𝐚𝐱

𝒂𝒋+𝟏∈𝑨 𝒂𝒋𝒗𝒏 𝒂𝒋+𝟏|𝒂𝒋 + 𝜷𝑽𝒏

𝒅 𝒂𝒋+𝟏 + 𝝁𝜺𝒏 𝒂𝒋+𝟏 ∀𝒂𝒋𝝐𝑨𝜷 is time discount rate represents

the spatial cognition of driver for

downstream links

𝑷𝒏𝒅 𝒂𝒋+𝟏|𝒂𝒋 =

𝒆𝟏𝝁𝒗𝒏 𝒂𝒋+𝟏|𝒂𝒋 +𝜷𝑽𝒏

𝒅 𝒂𝒋+𝟏

σ𝒂𝒋+𝟏′ ∈𝑨 𝒂𝒋

𝒆𝟏𝝁𝒗𝒏 𝒂𝒋+𝟏

′ |𝒂𝒋 +𝜷𝑽𝒏𝒅 𝒂𝒋+𝟏

➢ LINK CHOICE PROBABILITY (MULTINOMIAL LOGIT MODEL)

𝒖𝒏 𝒂𝒋|𝒂𝒋−𝟏 = 𝒗𝒏 𝒂𝒋|𝒂𝒋−𝟏 + 𝝁𝜺𝒏 𝒂𝒋

Spatial Cognition about downstream,

Degree of Spatial Cognition

Existing Route

Choice Models

Sequential Route

Choice ModelsIIA, Path Enumeration

6

PRELIMINARY ESTIMATION RESULTS

Variables Parameters t-Value

Travel Time -0.1106528 -7.2201359**

Right-Turn Dummy -0.6584271 -6.194608**

β 0.4506658 -2.60758**

L (0) -1268.621

LL -1203.331

Rho-Square 0.05146568

Adjusted Rho-Square 0.04910091

7

INTRODUCED POLICIES

Focus on Central Area of

Matsuyama City

Making “Transit Mall”

(A Pedestrian Friendly area)

Car Flow Restraint

(In central Area)

PROPOSED

POLICY

PRECEDING

POLICY

Hanazonomachi

Avenue

Reduced the No. of Car Lanes

from 4 to 2 8

TRAFFIC ASSIGNMENT➢ 𝜷-SCALED RECURSIVE LOGIT MODEL; OYAMA AND HATO 2016

𝒖𝒏 𝒂𝒋|𝒂𝒋−𝟏 = Ѳ𝒕𝒕 𝒂𝒋|𝒂𝒋−𝟏 ∗ 𝑻𝑻 + Ѳ𝑹𝑻 𝒂𝒋|𝒂𝒋−𝟏 ∗ 𝑹𝑻 + 𝝁𝜺𝒏 𝒂𝒋

𝑷𝒏𝒅 𝒂𝒋+𝟏|𝒂𝒋 =

𝒆𝟏𝝁 𝒗𝒏 𝒂𝒋+𝟏|𝒂𝒋 +𝜷𝑽𝒏

𝒅 𝒂𝒋+𝟏

σ𝒂𝒋+𝟏′ ∈𝑨 𝒂𝒋

𝒆𝟏𝝁 𝒗𝒏 𝒂𝒋+𝟏

′ |𝒂𝒋 +𝜷𝑽𝒏𝒅 𝒂𝒋+𝟏

𝒆𝑽𝒏,𝒕𝒅 𝒂𝒋 = ቐ

𝟏

𝝁σ𝒂𝒋+𝟐

∈𝑨 𝒂𝑱+𝟏𝒆 𝒗𝒏,𝒅 𝒂𝒋+𝟐

|𝒂𝒋+𝟏 +𝜷𝑽𝒏𝒅 𝒂𝒋+𝟐 aj+1 ≠ 𝑑

𝟎 aj+1 = 𝒅

𝐳 = 𝐌𝐳 + 𝐛

𝐳 = (𝑰 −𝑴)−𝟏∗ 𝒃

𝐈 − 𝑷𝑻 𝐅 = 𝐆Link Flows Equation:

9

POLICY SIMULATION – (CASE-0)

Central Area

(Without any change)

10

POLICY – (CASE-1)

Prohibit Cars in two

(2) links

(The road in front of

Central Station)

11

POLICY SIMULATION – (CASE-1)

12

POLICY – (CASE-2)

Prohibit Cars in ten

(10) links

(Case-1 + Hanazonomachi

Avenue)

13

POLICY SIMULATION – (CASE-2)

14

POLICY – (CASE-3)

Prohibit Cars in

sixteen (16) links

(Case-1,2 + Making a

Small Traffic Cell)

15

POLICY SIMULATION – (CASE-3)

16

POLICY – (CASE-4)

Prohibit Cars in sixty

(60) links

(Making a Large Traffic

Cell)

17

POLICY SIMULATION – (CASE-4)

18

VISUALIZATION OF FLOW CHANGE

CASE-0CASE-1CASE-2CASE-3

CASE-4

19

THANK

YOU