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 (min^{2})

—

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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