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BUDAPEST METRO LINE 4 FEASIBILITY STUDY

Oktober 1996

Transport model

Introduction

The basis of the demand forecasts for the study is a public transport model of Budapest which has been constructed and tailored to the needs of the study. The model contains the whole of Budapest with particular emphasis on the south Buda corridor and the trips of interest, namely those between South Buda and the Pest CBD. In developing the base year model, the study team concentrated on reproducing the current service levels and the current passenger demand on the network, reflecting sub-modal utilities and the split of demand between bus and tram services on an assignment basis. A reasonably accurate reproduction of current demand levels and their sub-modal split will ensure a sound basis for the forecasting work. The model was constructed on an all day basis reflecting the available demand data used as the basis for developing the demand matrix for the study. As peak demand is required for system design purposes, factors were developed to convert all day demand to peak demand at a link level for relevant sections of the network.

This chapter reports on the work undertaken to construct and calibrate the base public transport model which will be used for the demand forecasting.

Sources of data

Data sources used for the construction and calibration of the model were listed in the above paragraph 2.5.1.

Network and details of services

Physical network

Details of the physical network which describe Public Transport services are coded in a network data file. This file contains the following physical details used by the model:

  1. Node numbers defining points on the network (highway or railway track). Each section of the network is identified by a unique node pair referred to as a 'link'. The model contains some 5,000 links over the whole of Budapest. Each link refers to a section of the network which is used by heavy rail trains, metro trains, trams, trolley buses, buses and pedestrians.
  2. Link distances. These are based on digital maps of Budapest.
  3. Various link type flags which identify the type of service using the link and relate the way each link is treated within the fare model.
  4. A nominal speed or journey time for traversing each link.

Figure 3.1 shows the network within the study area.

Lines/Service descriptions

Following the definition of the physical network, public transport services which run on the network are defined in detail in a data file referred to as the lines file. There are some 350 route descriptions included in the lines file. This file contains the following data for each line:

  1. Line number. This is a unique number for each service which is used by the model.
  2. Route of the service defined by node numbers, as referred to in the network file. Every stop or station is identified along the route.
  3. Mode type. 9 mode types are defined for Budapest. These are:
    1. Bus
    2. Trolley bus
    3. Tram
    4. Metro
    5. Millennium Line
    6. HÉV suburban railway
    7. MÁV (Hungarian National Railways) services
    8. Volán suburban and national bus/coach services
    9. Cogwheel railway service
    The new South Buda service has been allocated to the 10th mode which will feature in the future network and lines file.
  4. Operating company. Three operating companies run the above services:
    1. Budapest Public Transport Company (BKV) which runs all urban transport services within Budapest, HÉV railways which serve the suburbs (agglomerations) and some bus services which serve the agglomerations.
    2. Hungarian National Railway Company (MÁV).
    3. Hungarian National bus/coach Company (Volán).
  5. Description of route types (e.g. return services on one route or circular or loop services).
  6. Fare information for each route.
  7. Journey time information for each route based on working timetables.

The network and lines files work together to define the full characteristics of each service. All the above data were checked through sampling on the network and reference to independent sources.

Fare model

A fare model is included within the overall Public Transport model developed for the study. The effect of the fare model in the base year is rather limited in that it does not play a role in the routeing of passengers. This is because the fare regime in Budapest is based on a flat fare system and almost all regular users of the system hold a Public Transport pass. This means that the decision on the route to choose for a journey is not dependant on the fare paid as cost of all journeys for pass holders is identical. It is therefore not foreseen that the fare model will play a significant role in the utilisation of services and route choice. However, incorporation of the fare model will provide an efficient mechanism for checking the calculation of total revenues.

The fare model incorporates a zone system with two zones. One zone for Budapest (within the city boundary) and the other for the agglomerations. The fare levels were calculated as an average based on total fare revenues by ticket type and total passengers using each ticket type in 1995. The analysis for the agglomeration only included those in the south west of the city as only these are of interest to the study.

Demand matrix

The demand matrix was constructed and calibrated in two stages as follows:

  1. Construction of the initial matrix and estimation of partially observed movements.
  2. Disaggregation of the zones in the corridor of interest and recalibration based on these zones, the network and lines files developed for the study.

The demand data available for the construction of the matrix was as follows:

  1. A demand matrix from 1988, based on origin-destination collected through some 500,000 interviews at stops and stations in Budapest and on board public transport vehicles crossing the Budapest boundary. This was an all day matrix of passenger demand based on the BKV zoning system.
  2. An all day demand matrix which was based on some 36,000 Household interviews collected as a part of the 1992-94 Budapest General Transport Surveys.

In the first instance, based on the above data sources an overall matrix was constructed. This matrix was then put through a matrix estimation process to reproduce total, all modes, passenger counts across screenlines and on individual links throughout Budapest with specific reference to the south west corridor. Over 90 passenger loading count sites were input to the process. Following a number of logic checks and estimation runs, the matrix estimation process resulted in a matrix which was considered suitable for use with the study. This matrix was constructed based on the 164 zones of the Budapest General Transport Surveys. Zones outside of the corridor of interest were aggregated and zones within the area of interest were kept as the 164 zoning system. After aggregation the matrix contained 87 zones.

Following the construction of the above matrix, zones in the corridor of interest were disaggregated to allow modelling of passengers boarding or alighting at stops in more detail. Disaggregation of zones were based on population and employment data on a much finer Urban Planning Zones system and below this level, based on site visits and local knowledge of the area. The resulting disaggregated matrix contains 298 zones which was the principal input to the assignment model and was used in the validation process.

Model Calibration

Assignment Specification

An assignment model was tested which contained the 298 zone matrix and lines/services and networks files as described above. The assignment was based on a multi-routeing algorithm. The robustness of the assignment method was tested through a number of sensitivity tests which tested the sub-mode split model for boarding at origin, interchange and spread of the routes for inclusion within the range of routes which are considered for assigning trips for each Origin-Destination pair. The model was generally found to be very stable with resulting changes corresponding to changes in the input parameters and proportionate to the size of change in these parameter, within an expected range.

Each path contains the following components:

  1. Access to first mode
  2. Fare
  3. Wait
  4. Board
  5. In-Vehicle Time for first mode
  6. Interchange to next mode (if there is a next leg in the trip)
  7. Wait
  8. Board
  9. In-Vehicle Time for next mode
    (v to viii repeats for every leg of the journey which is made on a P.T. mode)
  10. Egress

There is a factor attached to each of the above components within the assignment model. These factors are combined within a generalised cost formula of the form below:

Generalised Cost = (Access time * Wa + Wait time * Ww + Transfer time * Wt + Transfer penalty * Nt+ Boarding penalty*Nb) + (In-vehicle time * Wmi) + F

where:

Wa = weighting on access/egress time values.
Ww = weighting on wait time values.
Wt = weightings on physical transfer time values.
Nt = number of transfers during each trip (The penalty for this value is different depending on the modes between which transfer takes place).
Nb = number of boardings during each trip (The penalty for this value is different depending on the mode being boarded).
Wmi = weighting on in-vehicle time values (mode i).
F = fare (converted to time based on the value of time)


The assumptions adopted for each component of the generalised cost function are described in detail in Stage 1 Report..

Checks between zone paths

Checks were undertaken on whole paths, between origins and destinations, to ensure that the overall path building process works correctly and all components are incorporated as excepted. These checks were based on a manual calculation of generalised time costs for a sample of paths built by the model and confirmed the model's internal calculations to be working correctly. The majority of the sample paths which were checked were within the study corridor, namely for trips between District XI and Districts V, VI, VII, VIII and IX. Other paths between south west agglomerations and CBD Districts as well as paths from District XI and XXII and District I were also checked to ensure reasonable paths are produced by the model.

The area of interest contains over 100 model zones which results in over 10,000 main (or primary) transport paths and up to some 20,000 to 30,000 secondary paths. From these some 100 main paths were examined all of which displayed reasonable routeings. Furthermore, sensitivity tests and consistency in model results in the comparison of observed against modelled data indicated reasonable and stable routeings.

Validation - Comparison of observed and modelled passenger counts

Passenger flows produced by the model were compared at different levels against the observed data. The most widely reported comparisons are generally as follows:

  1. Total passengers across screenlines
  2. Passengers by mode across screenlines
  3. Total passengers on important scattered individual links
  4. Passengers by mode on important scattered individual links

The most detailed level of data available for this study was the number of passengers by mode for each link on the network. Tables 3.2 and 3.3 contain the results of the comparisons across screenlines and at scattered individual sites, respectively. Table 3.1 shows that in overall terms, on a screen line across the Danube, the modelled flows exceed the observed flows by some 2% with the bus mode over-predicting by 5% and the tram mode under-predicting by 3%. Given the variability in the observed data and the sampling techniques used in deriving the modelled data we consider that the differences are insignificant. Table 3.2 shows that for individual sites modelled and observed flows are within 10% except at one site. For individual sites, this is considered acceptable.

From our analysis we conclude that the demand model validates well and is suitable to be taken forward to the forecasting stage.

Highway model

A capacity restrained urban highway model, using SATURN software, which covers the whole of Budapest has been made available to the study team for undertaking comparative analysis of the effects of the public transport options on the highway network. The model includes all junctions within the central area of Budapest and contains speed flow curve data for links outside of the downtown area. The highway traffic demand data used with this model is based on the data from the Budapest General Transport Surveys (1992-94). This model is currently being used for a number of studies within Budapest. Our examination of this model and the results produced from it both on the base year network and various test networks showed that the model was consistent and stable and it is therefore considered suitable for use in this study for comparative assessments.

Table 3.1. Comparison of Modelled and Observed Flows on Screenlines.

Passenger Counts
Absolute Difference
Percentage Difference
Observed
Modelled
Modelled-Observed
1-(Modelled/Observed)
Screenline Location
Bus
Tram
Total
Bus
Tram
Total
Bus
Tram
Total
Bus
Tram
Total
Screenline1 Gazdagrét út 15 800 015 800 15 600 015 600 -200
-
-200 1%
-
1%
Törökbálint út 4 500 04 500 4 000 04 000 -500
-
-500 11%
-
11%
TOTAL 20 300 0 20 300 19 600 019 600 -700
-
-700 3%
-
3%
Screenline2 Kamaraerdei út 2 600 02 600 4 600 04 600 2 000
-
2 000 -77%
-
-77%
Tordai u. 1 400 01 400 1 600 01 600 200
-
200-14%
-
-14%
Leányka u. 36 500 14 40050 900 34 700 11 80046 500 -1 800 -2 600-4 400 5%82% 9%
TOTAL 40 500 14 400 54 900 40 900 11 800 52 700 400 -2 600 -2 200 -1% 82% 4%
Screenline3 Budaörsi út 69 300 069 300 69 500 069 500 200
-
2000%
-
0%
külsõ Bartók B. út 12 000 11 10023 100 13 800 11 20025 000 1 800 1001 900 -15% -1%-8%
Tétényi út 57 500 057 500 60 700 060 700 3 200
-
3 200 -6%
-
-6%
Fehérvári út 14 100 64 20078 300 8 000 70 60078 600 -6 100 6 400300 43%-10% 0%
Budafök út 15 900 015 900 24 400 024 400 8 500
-
8 500 -53%
-
-53%
TOTAL 168 800 75 300 244 100 176 400 81 800 258 200 7 600 6 500 14 100 -5% -9% -6%
Screenline4 M0 bridge 2 000 02 000 4 400 04 400 2 400
-
2 400 -120%
-
-120%
Lágymányos bridge 00 00 00
-
-
-
-
-
-
Petöfi bridge 5 600 114 500120 100 8 500 102 500111 000 2 900 -12 000-9 100 -52% 10%8%
Szabadság bridge 24 000 76 900100 900 22 000 75 90097 900 -2 000 -1 000-3 000 8%1% 3%
Erzsébet bridge 118 700 0118 700 123 400 0123 400 4 700
-
4 700 -4%
-
-4%
Lánchíd 15 600 015 600 14 000 014 000 -1 600
-
-1 600 10%
-
10%
K-NY metro 2 00 174 000 00 185 800
-
-
11 800
-
-
-7%
Margit bridge 25 000 122 500147 500 27 800 121 500149 300 2 800 -1 0001 800 -11% 1%-1%
Árpád bridge 10 200 70 80081 000 11 600 74 90086 500 1 400 4 1005 500 -14% -6%-7%
TOTAL 201 100 384 700 759 800 211 700 374 800 772 300 10 600 -9 900 12 500 -5% 3% -2%


Table 3.2. Comparison of Modelled and Observed Passenger Flows On Scattered Individual Sites

Passenger Counts
Absolute Difference
Percentage Difference
Observed
Modelled
Modelled-Observed
1-(Modelled/Observed)
Location
Bus
Tram
Total
Bus
Tram
Total
Bus
Tram
Total
Bus
Tram
Total
Bartók Béla Gellért Square
Nagytétényi út 24 000 024 000 26 400 026 400 2 400
-
2 400 -10%
-
-10%
Nagytétényi út 15 300 015 300 15 300 015 300 0
-
00%
-
0%
Andrássy út Oktogon-Vörösm. 31 400 031 400 35 700 035 700 4 300
-
4 300 -14%
-
-14%
Bartók Kosztolányi-Móricz 110 600 27 400138 000 109 100 26 500135 600 -1 500 -900-2 400 1%3% 2%
Budaörsi út Muskotály-Fehérló 33 900 033 900 32 900 032 900 -1 000
-
-1 000 3%
-
3%
Budaörsi út BAH csp. 32 600 25 00057 600 36 200 22 20058 400 3 600 -2 800800 -11% 11%-1%
Gellért rkp. Szab.-Erzs. 117 100 31 700148 800 109 000 40 700149 700 -8 100 9 000900 7%-28% -1%
Karinthy Móricznál 042 400 42 400 043 200 43 200
-
800800
-
-2%-2%
Nagykörút Király-Wesselényi 0141 600 141 600 0131 400 131 400
-
-10 200 -10 200
-
7%7%
Október 23. Fehérvári-Karinthy 037 300 37 300 036 200 36 200
-
-1 100 -1 100
-
3%3%
Rákóczi út Blaha-Baross 89 800 089 800 86 700 086 700 -3 100
-
-3 100 3%
-
3%
M1Oktogon-Vörösm. 00 88 700 94 200
-
-
5 500
-
-
-6%
M2Blaha-Baross 00 177 600 170 800
-
-
-6 800
-
-
4%
M3Népliget-Ecseri 00 193 600 179 700
-
-
-13 900
-
-
7%
M3Nyugati-Lehel 00 195 000 183 600
-
-
-11 400
-
-
6%
Csepeli HÉV 0 068 100 66 700
-
-
-1 400
-
-
2%