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Towards an AVL-based
Demand Estimation Model
𝒂
Luis Moreira-Matias,
𝒃
Oded Cats
𝒂
Intelligent Transport Systems Group
Social Solutions Research division
NEC Laboratories Europe, Heidelberg, DE
𝒃
Dep. Transport and Planning, TU Delft, NL
Outline
 Problem Overview
 Methodology
 Application
 Keynotes
3 © NEC Corporation 2015
▌ Demand Information is critical for estimating the overall demand profile of a network;
Methods for Demand/Load Estimation
Surveys
AVL data APC data
Video FootagesWeight Sensors
4 © NEC Corporation 2015
Problem Overview
▌Methods vs. Shortcomings
Video Footages, Weight Sensors
• Inaccurate;
• Expensive;
• Offline;
APC data:
• Incomplete;
• Offline;
• Inaccessible (e.g. 3rd party);
Surveys:
• Offline;
• Expensive;
• Slow;
AVL data:
• Commonly Used with APC data;
• Inaccurate;
▌Applications:
Tactical Planning
Real-Time Control/Monitoring
Route Concession Management
5 © NEC Corporation 2015
Problem Overview
▌Methods vs. Shortcomings
Video Footages, Weight Sensors
• Inaccurate;
• Expensive;
• Offline;
APC data:
• Incomplete;
• Offline;
• Inaccessible (e.g. 3rd party);
Surveys:
• Offline;
• Expensive;
• Slow;
AVL data:
• Commonly Used with APC data;
• Inaccurate;
▌Applications:
Real-Time Control/Monitoring
6 © NEC Corporation 2015
Research Question
▌Is it possible to use standalone AVL data to
estimate real-world passenger loads in a public
transportation network?
AVL data
Data Analytics
Passenger
Load Profiles
7 © NEC Corporation 2015
Methodology
8 © NEC Corporation 2015
(A) High-Level Demand Estimation
9 © NEC Corporation 2015
(A) High-Level Demand Estimation
Parameters and
Assumptions
Original Schedule
• Equal Vehicle Cap.
• Desired Occupancy
• Frequency Defined
through the Max. Load
Point method
AVL-based
headway deviations
Theoretical
Maximum Load
Period-Based
Maximum Load
Estimation
10 © NEC Corporation 2015
(B) Dwell-Time Decomposition
11 © NEC Corporation 2015
(B) Dwell-Time Decomposition
Assumptions
AVL-based
Dwell Times
• No Alightings on the first stops
• No Boardings on the last stops
Dwell Formula’s
Constants
computed using
Linear Regression
Walding’s
Dwell Time
Decomposition
• Boarding Time per pax
• Alighting Time per pax
• Deadtime/Delay
12 © NEC Corporation 2015
(C,D) Trip Load Profile Estimation
13 © NEC Corporation 2015
(C,D) Trip Load Profile Estimation (1/2)
Assumptions
AVL-based
Estimated Loads
• The stop with the largest
dwell time is considered as
maximum load point;
• Alternatively, the stop where
the cumulative dwells
achieve half of the trip’s
total dwell is selected
instead;
Local Regression
using LOESS
• Estimated Loads serve as
ground truth;
• A dependence function is
inferred for each trip using
the measured dwells and the
previously calculated dwell
constants;
14 © NEC Corporation 2015
(C,D) Trip Load Profile Estimation (2/2)
Incremental Output
Filtering
• Dwell time
constants are used
to determine load’s
confidence
intervals;
• A Linear
Progressive Load
Function is
empirically
defined;
Normalization
• LOESS results are
normalized to the
range of the
resulting
confidence
interval;
Trip Load Estimation
15 © NEC Corporation 2015
Local Regression (LOESS) in a Nutshell
• LOESS approximates non-linear
functions by combining multiple linear
ones;
• A linear function is created for each
data point defined by a sample in our
feature space;
• They are learned based only on a
subset of neighbors (check fig.);
LOESS Example
16 © NEC Corporation 2015
LOESS on estimating Vehicle Loads (example) 1/2
Target Function is
non-linear
17 © NEC Corporation 2015
LOESS on estimating Vehicle Loads (example) 2/2
Target Function is
non-linear but...
... Resulting
Function is
Globally Non-
Linear But
Locally Linear!
18 © NEC Corporation 2015
(E) Typical Load Profile Estimation
19 © NEC Corporation 2015
(E) Typical Load Profile Estimation
Trip-based (Weak)
Load Estimations
Stop-based Median
Loads (unrealistic profile)
Nearest Neighbor
(w/ Euclidean Distance)
Typical Load Profile
20 © NEC Corporation 2015
Experiments - Case Study
• AVL data from a bus fleet in Dublin, Ireland;
• Population: 1.3M inhabitants;
• Scenario with buses, heavy and light rail services;
• Communication granularity: 15-seconds;
• Data about two specific routes (i.e. 13, 140);
• 140: Commuter Line; 13: Airport Line:
• Planned headway in Peak Hours: 10-20 minutes;
• High Headway Variability;
• Missing data ratio: 10%;
• 2 Peak periods: 8am-12am/4pm-8pm;
• 140 Avg. Dwell Time: 𝟏𝟏. 𝟎𝟐 ± 𝟑𝟕. 𝟒𝟗 sec.
• 13 Avg. Dwell Time: 𝟏𝟎. 𝟎𝟐 ± 𝟓𝟗. 𝟒𝟑 sec.
• No APC data is available;
21 © NEC Corporation 2015
Experiments - Results
Example of the load profile for a selected trip;
Dwell Times
Estimated Loads
Load’s Confidence Interval
Stops
22 © NEC Corporation 2015
Experiments – Results for route 140 (Morning)
23 © NEC Corporation 2015
Experiments – Results for route 140 (Evening)
24 © NEC Corporation 2015
Experiments – Results for route 13 (Morning)
25 © NEC Corporation 2015
Experiments – Results for route 13 (Evening)
26 © NEC Corporation 2015
Final Remarks
1. We proposed the first methodology to estimate bus loads
based on AVL data standalone;
2. It involves multiple steps, including frequency determination
methods and inference of dwell time coefficients through
constrained simple/local regression methods and an
incremental smoothing based on the passenger flow
expectation;
3. Key performance indicators can be derived from it in real-
time (e.g. vehicle utilization rate, empty-seat/exceeded load
running distance);
27 © NEC Corporation 2015
Future Work
1. A proper validation against a fully reliable ground truth
(e.g. APC) is still required to assess the method´s true
potential;
2. Maximum Load Point Selection can be improved using Fuzzy
Logic;
3. The concept of neighboring can also be defined in a temporal
dimension (e.g. by using a sliding window or other forgetting
mechanisms) to consider seasonal fluctuations;
28 © NEC Corporation 2015
Thank you for your time!
luis.matias@neclab.eu
demandlocker_TRB_v3

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demandlocker_TRB_v3

  • 1. Towards an AVL-based Demand Estimation Model 𝒂 Luis Moreira-Matias, 𝒃 Oded Cats 𝒂 Intelligent Transport Systems Group Social Solutions Research division NEC Laboratories Europe, Heidelberg, DE 𝒃 Dep. Transport and Planning, TU Delft, NL
  • 2. Outline  Problem Overview  Methodology  Application  Keynotes
  • 3. 3 © NEC Corporation 2015 ▌ Demand Information is critical for estimating the overall demand profile of a network; Methods for Demand/Load Estimation Surveys AVL data APC data Video FootagesWeight Sensors
  • 4. 4 © NEC Corporation 2015 Problem Overview ▌Methods vs. Shortcomings Video Footages, Weight Sensors • Inaccurate; • Expensive; • Offline; APC data: • Incomplete; • Offline; • Inaccessible (e.g. 3rd party); Surveys: • Offline; • Expensive; • Slow; AVL data: • Commonly Used with APC data; • Inaccurate; ▌Applications: Tactical Planning Real-Time Control/Monitoring Route Concession Management
  • 5. 5 © NEC Corporation 2015 Problem Overview ▌Methods vs. Shortcomings Video Footages, Weight Sensors • Inaccurate; • Expensive; • Offline; APC data: • Incomplete; • Offline; • Inaccessible (e.g. 3rd party); Surveys: • Offline; • Expensive; • Slow; AVL data: • Commonly Used with APC data; • Inaccurate; ▌Applications: Real-Time Control/Monitoring
  • 6. 6 © NEC Corporation 2015 Research Question ▌Is it possible to use standalone AVL data to estimate real-world passenger loads in a public transportation network? AVL data Data Analytics Passenger Load Profiles
  • 7. 7 © NEC Corporation 2015 Methodology
  • 8. 8 © NEC Corporation 2015 (A) High-Level Demand Estimation
  • 9. 9 © NEC Corporation 2015 (A) High-Level Demand Estimation Parameters and Assumptions Original Schedule • Equal Vehicle Cap. • Desired Occupancy • Frequency Defined through the Max. Load Point method AVL-based headway deviations Theoretical Maximum Load Period-Based Maximum Load Estimation
  • 10. 10 © NEC Corporation 2015 (B) Dwell-Time Decomposition
  • 11. 11 © NEC Corporation 2015 (B) Dwell-Time Decomposition Assumptions AVL-based Dwell Times • No Alightings on the first stops • No Boardings on the last stops Dwell Formula’s Constants computed using Linear Regression Walding’s Dwell Time Decomposition • Boarding Time per pax • Alighting Time per pax • Deadtime/Delay
  • 12. 12 © NEC Corporation 2015 (C,D) Trip Load Profile Estimation
  • 13. 13 © NEC Corporation 2015 (C,D) Trip Load Profile Estimation (1/2) Assumptions AVL-based Estimated Loads • The stop with the largest dwell time is considered as maximum load point; • Alternatively, the stop where the cumulative dwells achieve half of the trip’s total dwell is selected instead; Local Regression using LOESS • Estimated Loads serve as ground truth; • A dependence function is inferred for each trip using the measured dwells and the previously calculated dwell constants;
  • 14. 14 © NEC Corporation 2015 (C,D) Trip Load Profile Estimation (2/2) Incremental Output Filtering • Dwell time constants are used to determine load’s confidence intervals; • A Linear Progressive Load Function is empirically defined; Normalization • LOESS results are normalized to the range of the resulting confidence interval; Trip Load Estimation
  • 15. 15 © NEC Corporation 2015 Local Regression (LOESS) in a Nutshell • LOESS approximates non-linear functions by combining multiple linear ones; • A linear function is created for each data point defined by a sample in our feature space; • They are learned based only on a subset of neighbors (check fig.); LOESS Example
  • 16. 16 © NEC Corporation 2015 LOESS on estimating Vehicle Loads (example) 1/2 Target Function is non-linear
  • 17. 17 © NEC Corporation 2015 LOESS on estimating Vehicle Loads (example) 2/2 Target Function is non-linear but... ... Resulting Function is Globally Non- Linear But Locally Linear!
  • 18. 18 © NEC Corporation 2015 (E) Typical Load Profile Estimation
  • 19. 19 © NEC Corporation 2015 (E) Typical Load Profile Estimation Trip-based (Weak) Load Estimations Stop-based Median Loads (unrealistic profile) Nearest Neighbor (w/ Euclidean Distance) Typical Load Profile
  • 20. 20 © NEC Corporation 2015 Experiments - Case Study • AVL data from a bus fleet in Dublin, Ireland; • Population: 1.3M inhabitants; • Scenario with buses, heavy and light rail services; • Communication granularity: 15-seconds; • Data about two specific routes (i.e. 13, 140); • 140: Commuter Line; 13: Airport Line: • Planned headway in Peak Hours: 10-20 minutes; • High Headway Variability; • Missing data ratio: 10%; • 2 Peak periods: 8am-12am/4pm-8pm; • 140 Avg. Dwell Time: 𝟏𝟏. 𝟎𝟐 ± 𝟑𝟕. 𝟒𝟗 sec. • 13 Avg. Dwell Time: 𝟏𝟎. 𝟎𝟐 ± 𝟓𝟗. 𝟒𝟑 sec. • No APC data is available;
  • 21. 21 © NEC Corporation 2015 Experiments - Results Example of the load profile for a selected trip; Dwell Times Estimated Loads Load’s Confidence Interval Stops
  • 22. 22 © NEC Corporation 2015 Experiments – Results for route 140 (Morning)
  • 23. 23 © NEC Corporation 2015 Experiments – Results for route 140 (Evening)
  • 24. 24 © NEC Corporation 2015 Experiments – Results for route 13 (Morning)
  • 25. 25 © NEC Corporation 2015 Experiments – Results for route 13 (Evening)
  • 26. 26 © NEC Corporation 2015 Final Remarks 1. We proposed the first methodology to estimate bus loads based on AVL data standalone; 2. It involves multiple steps, including frequency determination methods and inference of dwell time coefficients through constrained simple/local regression methods and an incremental smoothing based on the passenger flow expectation; 3. Key performance indicators can be derived from it in real- time (e.g. vehicle utilization rate, empty-seat/exceeded load running distance);
  • 27. 27 © NEC Corporation 2015 Future Work 1. A proper validation against a fully reliable ground truth (e.g. APC) is still required to assess the method´s true potential; 2. Maximum Load Point Selection can be improved using Fuzzy Logic; 3. The concept of neighboring can also be defined in a temporal dimension (e.g. by using a sliding window or other forgetting mechanisms) to consider seasonal fluctuations;
  • 28. 28 © NEC Corporation 2015 Thank you for your time! luis.matias@neclab.eu