Spatial PuT analysis

The spatial PuT analysis allows you to perform vehicle journey analyses, combining route course or vehicle journey section information. An example would be the analysis of volume parameters, such as passenger kilometers or other user-defined attributes of the vehicle journey course that you wish to analyze by vehicles, valid days or general characteristics of the route course or vehicle journey section.

So-called line route item PuT detail objects are required to carry out such analyses. Objects of this type are exclusively generated through the spatial PuT analysis procedure and are displayed in the 'Line route items PuT detail objects‘ list. These objects contain at most one entry per line route item and vehicle journey section, and they allow for direct access to line route item and vehicle journey section attributes. You may apply a filter to objects of the type line route item PuT detail. These objects will become active as soon as your line route item and vehicle journey section are active.

This allows you to limit the list view of objects to route course characteristics, a vehicle journey, or a line.

You may also use the procedure to analyze values of vehicle journey items. The calculation results are saved as attributes of the line route item PuT detail objects.

  • Before the procedure is carried out, the following conditions are checked:

The original attribute of the vehicle journey item selected must be numeric.

If the original attribute contains a subattribute AHPI, the subattribute variant must be AP.

If the initial attribute is divided according to length, the value of the attribute is interpreted as length, i.e. if the initial attribute is not of type length (e.g. kilometers, meters), a corresponding message appears before the procedure is executed.

It is further checked whether for the network object line route item PuT detail, there is a numeric, editable, user-defined attribute with the same ID as the original attribute. If this is not the case, a user-defined attribute featuring that ID is generated automatically. The code and name are also adopted from the original attribute. The same check is performed for attributes with the suffix "AH".

If the result attributes already exist, they are reset prior to calculation, i.e. they are set to empty.

  • Distributing attribute values of vehicle journey items to vehicle journey sections

The value available for each vehicle journey item can be divided according to length or not according to line route items.

If a length-proportional division is selected, the initial attribute is interpreted as the length related to the AP. First the value is distributed length proportionally to the line route items used. In the AP, the result is distributed per calendar day to the (optionally active) vehicle journey sections above the respective line route item.

If the initial attribute is not divided, each line route item is assigned the full value of the initial attribute. An interpretation as length is no longer necessary.

In both cases, one of the following rules applies:

  • Distribution according to occurrence in AP: each (active) vehicle journey section above a line route item is assigned a weighting factor according to the number of days its valid day occurs within the AP.
  • Distribution with weighting factor according to occurrence in AP: each (active) vehicle journey section above a line route item is assigned a weighting factor according to the number of days its valid day occurs within the AP. This weighting factor is then multiplied by an attribute of the vehicle journey section.
  • Distribution according to calendar day in AP: each (active) vehicle journey section above a line route item is assigned the following weighting factor: sum of 1/number (active) vehicle journey sections on the calendar day, which is added for all calendar days of the valid day within the AP.
  • Distribution with weighting factor according to calendar day in AP: each (active) vehicle journey section above a line route item is assigned the following sum as weighting factor: (attribute value of vehicle journey section) / (sum of attribute values of all (active) vehicle journey sections on the calendar day), added for all calendar days within the AP.

Using the above rules, the value per line route item and vehicle journey section is calculated.

  • Extrapolation to AH

Extrapolation of the AP value to AH is carried out using the extrapolation factor valid day. As each line route item PuT detail object belongs to exactly one vehicle journey section, the valid day to be used is clear.

Example

Assumption:

  • The analysis period AP is a year that consists of 364 days.
  • The vehicle journey (VJ) examined has two vehicle journey sections (VJS) and a length of 1km.
  • VJS1, with vehicle combination 1 (700 seats), and daily as the valid day, i.e. 364 occurrences throughout the AP, and
  • VJS2, with vehicle combination 2 (500 seats), and Monday as the valid day, i.e. 52 occurrences throughout the AP.
  • Both vehicle journey sections cover the total length of the vehicle journey, i.e. length (VJS1) = length (VJS2) = length (VJ) = 1km.
  • The line route (LR) of the VJ has two line route items (LRI), LRI 1 = 0.4km and LRI2 = 0.6km.
  • There is a demand of 1,000 persons, i.e. PassKm Trav in AP = 1,000.

The line route items bear a "corridor" attribute that specifies the corridor identifier. The analyses shall be performed per corridor and vehicle combination.

The following table shows the calculation steps for the 4 combinations, resulting from the distribution rule and weighting factor.

By occurrence in AP & weighting factor = 1.0

LRI x VJ1

= 0.4/1.0 * 364/(364+52) * 1,000 = 350.0 PassKm Trav

LRI1 x VJ2

= 0.4/1.0 * 52/(364+52) * 1000 = 50.0 PassKm Trav

LRI2 x VJ1

= 0.6/1.0 * 364/(364+52) * 1,000 = 525.0 PassKm Trav

LRI2 x VJ2

= 0.6/1.0 * 52/(364+52) * 1,000 = 75.0 PassKm Trav

By occurrence in AP & weighting factor = vehicle combination/seats

LRI x VJ1

= 0.4/1.0 * 364*700/(364*700+52*500) * 1,000 = 362.9 PassKm Trav

LRI1 x VJ2

= 0.4/1.0 * 52*500/(364*700+52*500) * 1,000 = 37.0 PassKm Trav

LRI2 x VJ1

= 0.6/1.0 * 364*700/(364*700+52*500) * 1,000 = 544.4 PassKm Trav

LRI2 x VJ2

= 0.6/1.0 * 52*500/(364*700+52*500) * 1,000 = 55.6 PassKm Trav

Per calendar day in AP & weighting factor = 1.0

LRI x VJ1

= 0.4/1.0 * (312/(312+52)*1.0+52/(312+52)*0,5) * 1,000 = 371.4 PassKm Trav

LRI1 x VJ2

= 0.4/1.0 * (52/364*500/1200) * 1,000 = 23.8 PassKm Trav

LRI2 x VJ1

= 0.6/1.0 * (312/364*700/700+52/364*700/1200) * 1,000 = 564.3 PassKm Trav

LRI2 x VJ2

= 0.6/1.0 * (52/(312+52)*0,5) * 1,000 = 42.9 PassKm Trav

Per calendar day in AP & weighting factor = vehicle combination/seats

LRI x VJ1

= 0.4/1.0 * (312/364*700/700+52/364*700/1200) * 1,000 = 376.2 PassKm Trav

LRI1 x VJ2

= 0.4/1.0 * (52/364*500/1200) * 1,000 = 23.8 PassKm Trav

LRI2 x VJ1

= 0.6/1.0 * (312/364*700/700+52/364*700/1200) * 1,000 = 564.3 PassKm Trav

LRI2 x VJ2

= 0.6/1.0 * (52/364*500/1200) * 1,000 = 35.7 PassKm Trav

The analyses per corridor or vehicle combination can be made directly in the list (line route item PuT detail objects). To do so, use the respective attribute of the line route item or vehicle combination number to group the data.