Resilient Schedule Coordination for a Bus Transit Corridor
Table 1
Notation.
Symbol
Meaning
Baseline value
Set of links of route k
—
Fixed vehicle operating cost of route k (RMB/min)
100
Unit vehicle operating cost (RMB/vehicle-min)
4.0
Variable vehicle operating cost of route k (RMB/seat-min)
0.2
Operating cost of route k (RMB/min)
—
Total waiting cost (RMB/min)
—
Total boarding delay cost (RMB/min)
—
Total transfer cost (RMB/min)
—
Intercycle delay cost (RMB/min)
—
Missed-connection cost (RMB/min)
—
Dispatching-delay cost (RMB/min)
—
Slack-time cost (RMB/min)
—
Total cost (RMB/min) in time period
—
The lowest total cost (RMB/min) in time period
—
Delay cost at signal priority intersection (RMB/min)
—
Number of passengers already on board at transfer center m on route k (passengers/min)
—
Expected value of route k headway (min)
—
Expected travel time on link I (min)
—
Expected running time on link i (min)
—
Transfer demand from other routes to route k at transfer center m (passengers/min)
—
Probability density function of arrival time on route k
—
Greatest common divisor of and
—
Headway of route k (min)
—
Maximum load factor on route k
—
Load factor on route k
—
Frequency of missing signal priority (buses/hour)
—
Demand of route k (passengers/min)
—
Transfer demand from route j to k (passenger/min)
—
Total transfer demand to route k (passenger/min)
—
Vehicle size on route k
—
Round-trip time (min)
—
Slack time at station m on route k (min)
—
Scheduled passenger loading time per station (min)
—
Extra passenger loading time per station (min)
—
Vehicle delay at signal priority intersection (min)
—
Passenger loading time (min)
—
Passenger alighting time (min)
—
Traffic signal time cycle (min)
—
Link travel time (min)
—
Delay time at signal priority intersection (min)
—
Green light time in a traffic signal cycle (min)
—
Duration of time period (min)
—
In-vehicle value of time (RMB/passenger-min)
—
y
Base cycle (min); value is 1 min, the same as the minimum value of headway in a rail station
—
The transfer waiting times between connecting routes j and k (RMB)
—
Signal priority indicator (=1 if signal priority provided and 0 otherwise)
—
Variance of headway on route k (min2)
—
Unit passenger waiting cost (RMB/passenger-min; baseline value is 1.5 RMB/passenger-min)
1.5
Unit passenger waiting cost (RMB/passenger-min; baseline value is 5.0 RMB/passenger-min) from boarding delay
5.0
Unit passenger waiting cost (RMB/passenger-min) from missing signal priority intersections
10,000
Unit passenger loading time (min/passenger)
0.1
Unit passenger alighting time (min/passenger)
0.05
Integer multiples of the base cycle
—
= 1 if transfer station m is on route k and 0 otherwise
—
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