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1. MOTORCYCLE PARKING SYSTEM
P CENTRAL PARK MALL JAKARTA

2. 1 2 3 4 5 6
ASTARI WULANDARI
DEA INDRIYANI
DYASRENNY TIARA PUTRI THERESSA DEVINA
ANGGITA LARASATI KENT SOLID
THE PROJECT TEAM

3. OUTLINE
1
2
3
4
5
6
7
PROBLEM
DEFINITION
CONSEPTUALIZATION
MODEL
DATA
GATHERING
MODEL
CONSTRUCTION
VERIFICATION
VALIDATION
CONCLUSION
P

4. PROBLEM DEFINITION

5. Biggest
Mall
in
West
Jakarta
Including
shopping
mall,
office
tower,
and
hotel
developed
by
Podomoro
Group
Biggest Mall
West Jakarta
Has reached
visitors each month
(source: marketing.co.id)
2.9
million
Shopping Mall
Office
Apartments & Hotels
PROBLEM DEFINITION
Can be reached by
Car
Motorcycle
Public transportation
CAR PARKING
MOTORCYCLE
PARKING
} }

6. CURRENT CONDITION
PROBLEM DEFINITION
MOTORCYCLE PARKING AREA
2 FLOOR: B1 & B2
GATE IN : 2
1 LINE 2 SERVER
GATE OUT : 3
1 LINE 3 SERVER

7. PROBLEM DEFINITION
WHAT
PROBLEM DEFINITION
WHERE
WHEN
WHO
WHY
Queuing System
Central Park Mall
Saturday
Visitor of Central Park Mall
Massive number of visitors
PROBLEM STATEMENT
Massive number of visitors in Central Park mall on
weekend (especially on Saturday) led to queueing in the
system. If queue happens more than 1 minute and time for
motorcycle to search parking more than 2 minutes, it will
decrease customer satisfaction so that it will cause
opportunity loss to Central Park Mall.

8. MODEL CONCEPTUALIZATION

9. MODEL CONCEPTUALIZATION
FLOW CHART

10. DATA GATHERING

11. SOURCE OF DATA
Credible Expert
Opinion
Personal Observation
COLLECTION OF DATA
Queuing time
DATA GATHERING
Peak hour Capacity Searching time Arrival Time
Service Time Counter Duration of parking
P
1 2

12. RAW DATA & PROCESSING
DATA GATHERING
Peak hour
0
100
200
300
400
500
11.10-­‐12.0912.10-­‐13.0913.10-­‐14.0914.09-­‐15.0915.10-­‐16.0916.10-­‐17.0917.10-­‐18.0918.09-­‐19.1019.10-­‐20.1021.10-­‐22.10
Motorcycle
Arrival/Hour
Peak hour
• 13.10-14.10
• 14.10-15.10
• 15.10-16.10
• 16.10-17.10
• 17.20-18.20
• 18.20-19.20

13. RAW DATA & PROCESSING
DATA GATHERING
Capacity
(492) in Basement 1
(603) in Basement 2

14. RAW DATA & PROCESSING
DATA GATHERING
Searching time
Lantai 1
Mean 41.97
Std. 18.559

15. RAW DATA & PROCESSING
DATA GATHERING
Searching time
Lantai 2
Mean 81.1
Std. 15.7

16. RAW DATA & PROCESSING
DATA GATHERING
Duration of parking
0
5
10
15
20
25
30
35
40
30 60 90 120 150 180 210 240 270 300 330 390 420
Frequency
Minutes
Duration
of
Parking
Time
Mean
Std.

17. RAW DATA & PROCESSING
DATA GATHERING
Queuing timeArrival Time Service Time Counter
Observer 2
(observe the server)
Observer 1
(observer arrival)
Interarrival
rate
Arrival Time
Service
time
Arrival time in
server

18. RAW DATA & PROCESSING
DATA GATHERING
Queuing timeArrival Time Service Time Counter
Kedatang
an Ke-
Inter
Arrival Waktu kedatangan Server Waktu sampai depan loket
Service
Time Waktu keluar loket
Waktu
Antrian Antrian/Tidak
Detik Jam Menit Detik Jam Menit Detik Detik Jam Menit Detik Detik
1 3 13 10 3 1 13 10 4 5 13 10 9 1 Tidak antri
2 9 13 10 12 1 13 10 13 4 13 10 17 1 Tidak antri
3 1 13 10 13 1 13 10 18 6 13 10 24 5 Antri
4 23 13 10 36 1 13 10 37 5 13 10 42 1 Tidak antri
5 34 13 11 10 1 13 11 12 8 13 11 20 2 Tidak antri
6 12 13 11 22 2 13 11 23 4 13 11 27 1 Tidak antri
7 20 13 11 42 1 13 11 43 6 13 11 49 1 Tidak antri
8 15 13 11 57 1 13 11 58 9 13 12 7 1 Tidak antri
9 21 13 12 18 1 13 12 19 10 13 12 29 1 Tidak antri
10 18 13 12 36 1 13 12 37 4 13 12 41 1 Tidak antri
11 13 13 12 49 1 13 12 50 5 13 12 55 1 Tidak antri
12 18 13 13 7 1 13 13 8 8 13 13 16 1 Tidak antri
13 6 13 13 13 1 13 13 15 4 13 13 19 2 Tidak antri
14 8 13 13 21 1 13 13 22 17 13 13 39 1 Tidak antri
15 9 13 13 30 1 13 13 41 9 13 13 50 11 Antri
16 5 13 13 35 2 13 13 50 4 13 13 54 15 Antri
17 15 13 13 50 1 13 13 52 5 13 13 57 2 Tidak antri
18 13 13 14 3 1 13 14 4 6 13 14 10 1 Tidak antri
19 3 13 14 6 2 13 14 8 5 13 14 13 2 Tidak antri
20 6 13 14 12 1 13 14 13 7 13 14 20 1 Tidak antri

19. RAW DATA & PROCESSING
DATA GATHERING
Arrival Rate

20. RAW DATA & PROCESSING
DATA GATHERING
Inter-Arrival Time

21. RAW DATA & PROCESSING
DATA GATHERING
Service Time Counter 1

22. RAW DATA & PROCESSING
DATA GATHERING
Queuing time
2.899
1.555
2.578 2.679 2.851
1.752
0
1
2
3
4
13.10-­‐14.09 14.10.15.09 15.10-­‐16.09 16.10-­‐17.09 17.10-­‐18.09 18.09-­‐19.09
Average
of
Queuing
Time

23. SYSTEM DOCUMENTATION
DATA GATHERING
1 2 3
4 5 6

24. MODEL CONSTRUCTION

25. DATA GATHERING
STEPS
1
2
3
4
BUILD
LOCATION
ENTITIES
ARRIVALS
PROCESS
MODEL CONSTRUCTION

26. DATA GATHERING
LOCATION
MODEL CONSTRUCTION

27. DATA GATHERING
ENTITIES
ARRIVALS
MODEL CONSTRUCTION

28. DATA GATHERING
PROCESS
MODEL CONSTRUCTION

29. DATA GATHERING
PROCESS
MODEL CONSTRUCTION

30. MODEL CONSTRUCTION
FINISHED MODEL

31. VALIDATION

32. 01
Watching
Animation
02
Comparing with
other models
03
Comparing with
actual system
04
Conducting degeneracy
and extreme condition
05
Performing
sensitivity analysis
VALIDATION

33. WATCHING ANIMATION
VALIDATION
CLICK

34. COMPARING WITH SPREADSHEET MODEL
VALIDATION
Spreadsheet Model
Pro
Model
Average server utilization (ρ) 0.2875 0.24
Average number of
customers in the queue (Lq)
0.0518 0.14
Average number of
customers in the system (Ls)
0.6268 0.61
Average waiting time in the
queue (Wq)
0.0002 0.018021 (minutes) 0.03
Average time in system (Ws) 0.0018 0.218021 (minutes) 0.22
Probability (% of time)
system is empty (P0)
55% 85%
Arrival rate during peak
time 345
motorcycle/hour
Average service time
during peak time 6
seconds
OBSERVATION
Saturday, 26-09-2015
11.10 am to 9.20 pm
268
259
289
383
268268

35. COMPARING WITH ACTUAL SYSTEM
VALIDATION
Visitors will first fulfill parking area block
which near the mall entrance
Visitors will only go to P2 if only P1
capacity is full. P2 will be open when P1
capacity almost full
Visitors tend to take Server 1 rather than
Server 2 (First Available)
If visitors didn’t find parking at P2, they will
look again the available area at P1
Actual Model
How? We create dummy process from P2
to P1 for motorcycle who didn’t get
parking at P2

36. CONDUCTING DEGENERACY & EXTREME CONDITION
VALIDATION
EXTREME TEST
Arrival Rate: 0

37. CONDUCTING DEGENERACY & EXTREME CONDITION
VALIDATION
EXTREME TEST
Arrival Rate: 0

38. CONDUCTING DEGENERACY & EXTREME CONDITION
VALIDATION
EXTREME TEST
Arrival Rate: Maximum

39. CONDUCTING DEGENERACY & EXTREME CONDITION
VALIDATION
EXTREME TEST
Arrival Rate: Maximum

40. SENSITIVITY TEST
VALIDATION

41. SENSITIVITY TEST
VALIDATION

42. SENSITIVITY TEST
VALIDATION

43. SENSITIVITY TEST
VALIDATION

44. VERIFICATION

45. TRACE
VERIFICATION

46. OUTPUT ANALYSIS

47. OUTPUT ANALYSIS
OUTPUT ANALYSIS
WHAT TO WATCH?
Incoming/Outcoming Entities
Average time in queue (Wq) and in system (Ws)
Average number of entities in queue (Lq) and in system (Ls)
Utilization of queueing system

48. VERIFICATION
Total Input
1780 unit in 6 hour
Single Line Multiserver
Total Output
1202 unit
Incoming/outcoming entities
OUTPUT ANALYSIS

49. VERIFICATION
LOCATION STATES
MULTI
OUTPUT ANALYSIS

50. VERIFICATION
LOCATION STATES
SINGLE
OUTPUT ANALYSIS

51. VERIFICATION
ENTITTY ACTIVITY
AND STATES
OUTPUT ANALYSIS

52. Wq = 0.03 min
Ws for Server 1 = 0.12 min
Ws for Server 2 = 0.13 min
They are within limits required from this assignment (1 min)
Therefor no additional server is needed for now
VERIFICATIONOUTPUT ANALYSIS
Average Time in Queue and Ticketing System
Lq = 0.15 entities
Ls for Server 1 & 2 = 0.62 entities
These number are similar with our Spreadsheet model
Average Number of Entities in Queue and System

53. VERIFICATIONOUTPUT ANALYSIS
Utilization of Queueing System
Server 1 utilization = 33%
Server 2 utilization = 14%
Their average are similar with our spreadsheet model
The server is under utilized even at peak time
Entity Activity
Average Time in system = 92.86 min
Average time in waiting = 0.03 min
Average time blocked = 0.92 min
Entity
Activity
Operation Waiting
Blocked

54. VERIFICATIONOUTPUT ANALYSIS
Utilization of Parking Space
Average time to search parking space
16 out of our parking space are utilized, 8 are continuously empty
Average of empty parking space = 31.8%
Average of full parking space = 28%
Average # of entities in parking space system = 432 unit per hour
There are overcapacity in Central Park parking system
Average time = 1.69 min
There are 6 locations where searching for parking space takes longer
than 2 minutes (B1 area 2, 4, 5, and 6). We aim to reduce that to less
than 2 minutes.
There are several options: increasing parking space, better routing and
capacity management

55. CONCLUSION

56. CONCLUSION
CONCLUSION
Peak time in Central Park
happens on
Saturday
at
13.10-20.20
Average
arrival rate in
Central Park is
345
motorcycles/
hour
Average
service time on
server 1 is 5,7 s
and on
server 2 is 5,8 s
Queueing time in lockets is
under 1 minute
and
searching time average is
under 2 minutes,
So, the parking system on
Central Park is optimal.
The problem that happens in Central
Park is mostly because of
breakdown in server.
So, queue only happen when the
server is breakdown.

57. RECOMENDATION

58. RECOMENDATION
RECOMENDATION
The problem that happens in Central
Park is mostly because of
breakdown in server.
So, queue only happen when the
server is breakdown.
Better maintanance program for each server machine
Increase parking space
Better routing and capacity management

59. RECOMENDATION
RECOMENDATION
Increasing Parking Space
Basement 1 location 2 = From 10 to 50 parking spaces
Basement 1 location 4 = From 38 to 45 parking spaces
Basement 1 location 6 = From 38 to 50 parking spaces
Total Increase of parking space = 62
Average time to search parking space = 1.16 min
No more spending over 2 minutes to
search a parking space!
Constraint : Limited Space to Expand

60. RECOMENDATION
RECOMENDATION
Better Routing and
Capacity Management
Since there are 8 parking location that is continuously
empty, managementcan start routing entities there,
when queue start to form
Management can also partly closed several parking
locations on B1 to route entities to search for parking
space at B2

61. THANKYOU