2. Contents
Problem statement
Proposed System
Introduction and Background study
▫ Calculation of DCPA
▫ Calculation of TCPA
▫ Calculation of VCD
Multi-vessel collision risk calculation
▫ Fuzzy inference system
▫ Utilization of Fuzzy Inference for collision risk calculation
Application
▫ Simulator Development
▫ Techniques , tools
Results
Future Work
3. Problem Statement
▫ Due to brisk industrial growth, the marine traffic
has become an imperative subject in the open sea.
▫ The crew inside the vehicle traffic service (VTS)
centre is facing challenging issues due to
continuous growth in vessels number.
▫ Most of VTS centers are using the ARPA RADAR
based conventional vehicle traffic management
system.
▫ VTS staff has to carry out most of things
manually.
▫ Strong need to develop RADAR operated, multi-
vessel collision detection system.
4. Proposed System (Salient Features)
▫ Fuzzy inference based intelligent collision
detection system.
▫ Using the DCPA, TCPA and VCD to calculate
collision risk.
▫ Development of multi-vessel graphical simulator
can calculate degree of collision risk among vessels
from VTS centre.
has RADAR filtration algorithm.
Flexible development approach based on MFC,
VC++ and openGL
6. Calculation of DCPA
•DCPA is considered the closet point of approach between the two vessels.
•The blue line in the following figure is displaying the DCPA between A & B.
Projection Vectors
Resultant Vector
7. Mathematical Calculation of DCPA
0°< θ < 90° Then m = tan (90°- θ) (1)
90°< θ < 180° Then m = -tan(θ - 90°) (2)
180°< θ < 270° Then m = tan(270°- θ) (3)
270°< θ < 360° Then m = -tan(θ - 270°) (4)
Where θ is the angle between the vessels, calculated from VTS centre
and x, y ,m are the coordinates and the slope respectively.
mx - y - mtx + ty = 0 (5)
2)1(2m
ytmxt
DCPA
(6)
8. Suppose ‘V’ is the vessel and ‘I’ denotes the number
of vessels which comes in the range of RADAR.
If the total number of vessel in particular scenario
n=6. Then, mathematically we can calculate,
for how many times, we have to calculate the
DCPA using the following calculation.
=
Ship 1 case: 1 2, 1 3, 1 4, 1 5, 1 6
Ship 2 case: 2 3, 2 4, 2 5, 2 6
. . . . . .
. . . . . .
Calculation of DCPA among vessel from VTS
9. Calculation of TCPA
• TCPA is the time to closet point of approach.
According to figure (mentioned in the previous
slide) the TCPA is the time, which the vessel A
takes to reach the vessel B.
For reference
222
)( DCPAytxt
TCPA
(7)
Where x and y are the co-ordinates and DCPA is the distance to
the closet point of approach
송재욱, 1995. PC를 이용한 ARPA RADAR SIMULATOR의 개발에 관한 연구,
한국해양대학교
10. Calculation of VCD
• VCD is the variance of a compass direction which can be
measured with the difference of two consecutive bearing.
Calculation of VCD among vessel from VTS centre
11. Calculation of VCD
• For the calculation of VCD, first we have to calculate the
bearings among all the vessels from VTS centre using RADAR
input.
13. Calculation of degree of collision risk
Input arrays to calculate the degree of collision risk among vessels
from VTS centre
14. Calculation of degree of collision risk
• To calculate the degree of collision risk. We used fuzzy inference system.
Fuzzy Inference System
Fuzzy inference is the process of formulating the mapping from a given input to an
output using fuzzy logic.
Fuzzy Logic
Fuzzy logic is based on fuzzy set theory which is introduced by Lotfi A. Zadeh and
Dieter Klauain 1965
Fuzzy set theory
Fuzzy sets are sets whose elements have degrees of membership.
an extension of the classical notion of set.
In classical set theory, the membership of elements in a set is assessed in binary terms.
By contrast, fuzzy set theory permits the gradual assessment of the membership of
elements in a set
fuzzy set theory can be used in a wide range of domains in which information is
incomplete or imprecise.
15. Simulation and scenario
To validate the accuracy of our algorithm. We developed a
simulator.
In simulation we took 11 vessels
Each vessel is considered as an autonomous object which
means; each have its own
Position (x,y)
Speed (we can derive velocity from speed)
Angle (course)
DCPA (can be measured from VTS)
TCPA (can be measured from VTS )
We supposed in our scenario that ships are moving randomly.
22. ▫ 장애물과 자선 사이의 충돌위험도를 1과 -1 사이의 값으로 표현
▫ 음수는 장애물이 지나갔음을 의미
22
0
1
-1 -0.6 -0.2 0 0.2 0.4 0.6 0.8 1
NB NM NS PS PMS PM PMB PB
충돌위험도의 소속함수
Collision Risk
23. • VCD가 PM일 때 추론규칙
• VCD가 PMB일 때 추론규칙
23
NB NM NS PS PMS PM PMB PB
PS NB NB NB PM PM PMS PMS PS
PMD NM NB NB PMB PMS PMS PS PS
PMD NS NM NB PM PMS PS PS PS
PMB NS NS NM PMS PS PS PS PS
PB NS NS NS PS PS PS PS PS
D
C
P
A
T C P A
NB NM NS PS PMS PM PMB PB
PS NB NB NB PM PMS PMS PMS PS
PMD NB NB NB PMS PMS PMS PS PS
PMD NM NB NB PMS PMS PS PS PS
PMB NS NM NB PMS PS PS PS PS
PB NS NS NM PS PS PS PS PS
D
C
P
A
T C P A
24. 충돌위험도 추론규칙
• VCD가 PB일 때 추론규칙
24
NB NM NS PS PMS PM PMB PB
PS NB NB NB PMS PMS PMS PS PS
PMD NB NB NB PMS PMS PS PS PS
PMD NB NB NB PMS PS PS PS PS
PMB NM NB NB PS PS PS PS PS
PB NS NM NB PS PS PS PS PS
D
C
P
A
T C P A
25. • VCD가 PS일 때 추론규칙
• VCD가 PMS일 때 추론규칙
25
NB NM NS PS PMS PM PMB PB
PS NS NM NB PB PMB PM PMS PS
PMD NS NS NM PMB PM PMS PS PS
PMD NS NS NS PM PMS PS PS PS
PMB NS NS NS PMS PS PS PS PS
PB NS NS NS PS PS PS PS PS
D
C
P
A
T C P A
NB NM NS PS PMS PM PMB PB
PS NM NB NB PMB PMB PM PMS PS
PMD NS NM NB PMB PM PMS PS PS
PMD NS NS NM PM PMS PS PS PS
PMB NS NS NS PMS PS PS PS PS
PB NS NS NS PS PS PS PS PS
D
C
P
A
T C P A
28. Radar Filtration
The simulation area shows the results after 1800 milli-
second delay. (It can be decreased by using multi-core processor)
The filtration module filters the vessel which come in
5 NM radius of selected vessel.
This module create easiness to filter the degree of
collision risk around specific vessel.
29. Radar Filtration
This area display the vessel
which come in radar range.
Degree of collision around a
specific vessel.