Research Article

Optimization of Bus Rerouting to Alleviate the Impact of Rail Transit Construction

Table 1

Illustration of the notations.

Parameters
N. Set contains all bus lines.
N′. Set contains all rerouting lines. , where is the line set containing rerouting lines with stop-skipping and is the line set containing rerouting lines with migration.
. The rerouting criterion value of increased rate.
. The increased rate of turnaround time
. The average turnaround time before construction.
. The average turnaround time during construction.
. The average time when buses travel within the affected section during construction.
. The average operation time by skipping half of the stops within the affected section.
. The average time when buses travel within the affected section during construction with skipping all stops.
. The average time when buses travel within an alternative plan of line during construction with skipping all stops.
. Set contains stops in the affected section of line , stops ordered in sequence.
. Set contains all alternative plans of line .
. Set contains stops in an alternative plan , stops ordered in sequence.
. Set contains stops in a migration section (which corresponding to ), stops ordered in sequence.
. Set contains alternative stops of all line . , where set contains all the existing stops in the alternative stop set, and is the new stops set.
. The maximum tolerant operation time of the rerouting line within the affected section.
. The average increase in the operating time for each additional stop of line in the affected section.
. The average increase in the operating time for each additional stop within an alternative plan of line .
. The potential passenger flow can be attracted by alternative stop of line .
. The cost of building a new stop.
. represents the total budget for building new stops.

Decision variables
. 0-1 variable, when line after adjustment visits stop , the variable equals 1.
. 0-1 variable, when new stop is selected to be built, the variable equals 1.
. 0-1 variable, it equals 1 when alternative plan of line is selected.

Turnaround time: the operation time that a bus spends on completing a whole single trip.