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Gravity-driven agent-based model for simulation of economic growth of a point along a highway
1. 18 July 2019
Bandung, Indonesia
The 2nd International Conference on
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1
Gravity-driven agent-based model
for simulation of economic growth
of a point along a highway
Tatang Suheri1
, Sparisoma Viridi2
1
Department of Urban and Regional Planning, Universitas Komputer Indonesia,
Bandung 40132, Indonesia
2
Department of Physics, Institut Teknologi Bandung, Bandung 40132, Indonesia
1
tatang.suheri@email.unikom.ac.id, 2
dudung@fi.itb.ac.id
20190714_3
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Outline
• Introduction
• Simulation
• Results and discussion
• Summaries
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Introduction
4. Highway construction
• Its effect on other sectors are greater com-
pared to the effect of other sectors and after
that the induced economic growth had been
increasing
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Liu N and Zhou Q-m 2006 Quantitative Analysis of Effects of Transportation Infrastructure Investment on National
Economy Journal of Highway and Transportation Research and Development 5 150
5. Highway improvement
• It induces the emergence of a new set of eco-
nomic opportunities and a change in the pat-
tern of relationships between the environ-
ment and social actors
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Gunasekera K, Anderson W and Lakshmanan TR 2008 Highway-Induced Development: Evidence from Sri Lanka
World Development 36 2371
6. Traffic congestion
• Whether it has impact on slowing economy is
still debateable since a critical disconnect
exists between research and practice
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Sweet M 2011 Does Traffic Congestion Slow the Economy? Journal of Planning Literature 26 391
7. Highway expansion
• The spatial variation in road network and its
driving patterns relating economy and popu-
lation
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Hu X, Wu C, Wang J, Qiu R 2018 Identification of Spatial Variation in Road Network and Its Driving Patterns: Economy
and Population Regional Science and Urban Economics 71 37
8. At a point along a highway
• How is economic growth induced?
• How does relationships pattern between the
environment and social actors change?
• Is traffic congestion good economically?
• How is driving pattern connecting economy
and population?
• How are all seen in micro or individual point of
view?
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9. Agent-based model (ABM)
• In this work the agents will represent vehicles
that pendel between two cities, with possibili-
ty to dock on a rest area
• From time duration an agent spending in a
rest area, economy effect can be predicted
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10. 18 July 2019
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Simulation
11. Gravity model (GM) in economy
• Interaction force Fij between two cities with
separation distance Dij
with cities property Ai and Aj, constant K
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Faiña A, Lopez-Rodríguez J 2003 Population Potentials and Development Levels: Empirical Findings in the European
Union in 43rd Congress of the European Regional Science Association (ERSA): "Peripheries, Centres, and Spatial
Development in the New Europe", 27th - 30th August 2003, Jyväskylä, Finland, European Regional Science
Association (ERSA), Louvain-la-Neuve, url http://hdl.handle.net/10419/115910
β
αα
ij
ji
ij
D
AA
KF =
12. Cities properties
• Parameter Ai can represent
– income
– population
– transportation system
– public facilities
– other things that attract people
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13. Driving force and direction matrix
• The force from GM will be the driving force for
ABM, which construct direction matrix
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=
45556
34567
33077
22187
21118
iD
Direction number:
1 ( ↑ ), 2 ( ↗ ), 3 ( → ),
4 ( ↘ ), 5 ( ↓ ), 6 ( ↙ ),
7 ( ← ), 8 ( ↖ ), 0 ( ∙ )
Direction where agents
are allowed to move to
14. World matrix
• Agents can only move in 0 area (road, high-
way), where 1 represents obstacle (building,
higway side, etc)
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=
11111
10001
10101
10001
11111
W
15. Agent matrix
• There could be several types of agents, eg. 1,
2, ..
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=
00000
00010
02000
00100
00000
A
Agent of type 1 will
behave differently
than type 2, ..
16. Simulation system
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Results and discussion
20. Parameters
• Simulation parameters are as follow
N = 72 (total agents),
N1 = 36, 48, 72 (type 1 agents)
N2 = N – N1 (type 2 agents)
Matrices W (world), D1..D3 (direction), A (agent)
tstop = 0 (00:00), tstart = 75 (06:00),
tmax = 300 (24:00), Δt = 1 (0.08 hour)
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21. Time schedule
• Every day at 00:00 the stoplight is red until
06:00 and then green (not drawn) from 06:00
– 24:00. After 30 tmax or about one month the
simulation is terminated
• Agents can leave their origin cities after 06:00
• If agents enter a city between 24:00 and 06:00
they are forced to rest in the city
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22. Initial configurations
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The red agents must visit rest area,
but not the blue ones
23. Mid configurations
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24. Final configurations
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25. Number of visitors/day (t = 300/day)
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NAB: agents go from city A to B, NBA: agents go from city B to A,
NRA1: agents visiting rest area 1 (A->B), NRA2: rest area 2 (B->A)
26. Agents composition
• Fraction of red agents
c = 0 : all agents are blue (not need rest area)
c = 1 : all agents are red (must visit rest area)
other values are between 0 and 1
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bluered
red
NN
N
c
+
=
27. Daily influence of c
• Daily observation does not show the influence
of c to
– number traveller from A to B (NAB)
– number traveller from B to A (NBA)
– number of visitor to rest area 1 (NRA1)
– number of visitor to rest area 2 (NRA2)
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28. 18 July 2019
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29. Monthly influence of c
• Monthly observation does show the influence
of c to
– number of visitor to rest area 1 (NRA1)
– number of visitor to rest area 2 (NRA2)
-> NRA1 > NRA2 (nearer is favourable then farther)
but not too strong to
– number traveller from A to B (NAB)
– number traveller from B to A (NBA)
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30. Travellers/month
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500
550
600
650
700
750
800
0% 20% 40% 60% 80% 100%
N
c
NAB
NBA
Navg
From A
to B
From B
to A
31. Rest area visitors/month
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0
20
40
60
80
100
120
0% 20% 40% 60% 80% 100%
N
c
NRA1
NRA2
Navg
Nearer
rest
area
Farther
rest
area
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Summaries
33. Conclusion
• Variation of initial configurations shows the
influence of composition of agents C in visit-
ing the rest area, if observed data is aggregat-
ed monthly
• Nearer rest area (rest area 1) is also favour-
able than the farther one (rest area 2)
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34. Future plans
• Make the highways, cities, and rest areas
more realistic but still be able simulated by
ABM with affordable computation facility
• Get observation data from CCTV cameras or
sensors to confirm the simulation results
• Create adjustable time step for better
prediction
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35. Acknowledgements
• The 2nd INCITEST 2019 Committee and
Universitas Komputer Indonesia for
supporting presentation of this work
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https://osf.io/6d5n7/
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Thank you