Integrated Planning and Operation of Bus Bridging Evacuation for Metro Rail Disruption

Acknowledgments

Notation

$a_{ij,k}^p$

number of passengers getting off bus fleet n_ij at bridging metro station k in pth trip, passenger;

$b_{ij,k}^p$

number of passengers getting on bus fleet n_ij at bridging metro station k in pth trip, passenger;

c

total operation cost, $;

c^d

average dispatch cost of a bridging bus, $/bus;

c^e

average travel cost for a bridging bus per second, $/bus/sec;

d_ij

total transportation time of bus fleet n_ij, sec;

I

number of available bus depots;

i

index of available bus depots (i = 1, 2, …, I);

J

number of disrupted metro stations;

j, k, l, m

index of bridging metro stations (j, k, l, m = 0, 1, 2, …, J, J + 1), 0 and J + 1 denote the nearest operating metro stations at both ends;

L_ij

distance from bus depot i to bridging metro station j, m;

L_k,l

distance from bridging metro station k to bridging metro station l, m;

N_i

number of available buses at bus depot i, bus;

n_i

number of buses dispatched from bus depot i, bus;

n_ij

size of bus fleet dispatched from bus depot i to disrupted metro station j (j = 1, 2, …, J), bus;

O_jk

demand from bridging metro station j to bridging metro station k, passenger;

p

index of trip, p = 0, 1, 2, …;

s

capacity of a bridging bus, passenger/bus;

t

time, t = 0, 1, 2, …, sec;

t_ij

travel time of bus fleet n_ij from bus depot i to bridging metro station j, sec;

t_ij,kl

travel time of bus fleet n_ij from bridging metro station k to bridging metro station l, sec;

$t_{ij,k}^p$

dwell time of bus fleet n_ij at bridging metro station k in pth trip, sec;

v_ij

average travel speed from bus depot i to bridging metro station j, m/sec;

v_ij,kl

average travel speed for bus fleet n_ij from bridging metro station k to bridging metro station l, m/sec;

X_j

total bridging demand at disrupted metro station j, passenger;

$x_k^{ij,p}$

bridging demand at disrupted metro station k in pth trip of bus fleet n_ij, passenger;

y_ij

number of complete downstream trips of bus fleet n_ij;

z_ij

number of complete upstream trips of bus fleet n_ij;

δ^b

average boarding time for one passenger, sec/passenger; and

δ^a

average alighting time for one passenger, sec/passenger.

References