Table 1 The parameter table.
Symbol | Meaning | Layer/Section |
|---|---|---|
GP (S, LP, D) | Physical Network | Three-layer Network |
GF (T, LF, E) | Function Network | Three-layer Network |
GD (T, S, V) | Demand Network | Three-layer Network |
S | Node set of stations | Physical & Function Network |
LP | Edge set of railway lines | Physical Network |
D | Distance between two stations | Physical Network |
T | Node set of trains | Function & Demand Network |
LF | Node set of railway lines | Function Network |
E | Edge set representing the connection between trains and lines | Function Network |
V | Edge set representing the number of passengers boarding a train at a station | Demand Network |
C | capacity of a train | PDEM |
p | proportion of passengers at the departure station | PDEM |
Vmax | a maximum passenger load per train at a station | PDEM |
Vmin | a minimum passenger load per train at a station | PDEM |
\({T_S}\) | set of all trains stop at station S | PDEM |
\(\left| {{T_S}} \right|\) | the number of trains stop at stations S | PDEM |
\(H\left( {{T_S}} \right)\) | the set of trains departing from station S | PDEM |
\(T\left( {{T_S}} \right)\) | the set of trains terminating at station S | PDEM |
\(I\left( {{T_S}} \right)\) | the set of trains stopping at station S as an intermediate station | PDEM |
\({V_S}\) | The number of passengers at station S | PDEM |
\({V_t}\) | he number of passengers of train t | PDEM |
\({S_t}\) | stops in the schedule of train t | PDEM & Passengers Transfer Strategy |
m | number of track segments in HSR infrastructure network | Passengers Transfer Strategy |
n | number of trains passing through a line | Passengers Transfer Strategy |
P | number of trains stopping at a given station | Passengers Transfer Strategy |
q | number of stations served by each train | Passengers Transfer Strategy |
\(O\left( * \right)\) | Computational complexity | Passengers Transfer Strategy |
\(n^{\prime}\) | the number of stations | Passengers Transfer Strategy |
\(\alpha\) | the number of trains in the timetable | Passengers Transfer Strategy |
\(\beta\) | the number of stops of the trains in the timetable | Passengers Transfer Strategy |
\({\varvec{M}}~\left( {{{\varvec{s}}_{\varvec{i}}},~{{\varvec{s}}_{\varvec{j}}}} \right)\) | city reachability matrix | Passengers Transfer Strategy |
\(V_{t}^{{transfer}}\) | The number of passengers can be converted from train t | Passengers Transfer Strategy |
\({T_l}\) | the affected train set | Passengers Transfer Strategy |
\({O_t}\) | The originating stations of the affected trains | Passengers Transfer Strategy |
\({D_t}\) | The terminal stations of the affected trains | Passengers Transfer Strategy |
\(T\left( {{O_t}} \right)\) | the set of trains stopping at station \({O_t}\) | Passengers Transfer Strategy |
\({t_{{O_t}}}\) | Trains in set \(T\left( {{O_t}} \right)\) | Passengers Transfer Strategy |
\(S\left( {{t_{{O_t}}}} \right)\) | the set of stations not yet served by train \({t_{{O_t}}}\) | Passengers Transfer Strategy |
\({s^{transfer}}\) | the potential transfer station | Passengers Transfer Strategy |
\(RV\) | the vulnerability of HSR | Vulnerability Assessment |
\({P^{loss}}\) | the loss of passengers caused by the failure of lines | Vulnerability Assessment |
\({P^{normal}}\) | the number of passengers in normal operation | Vulnerability Assessment |
\({P^{affected}}\) | the number of affected passengers caused by disruption | Vulnerability Assessment |
\({P^{transfer}}\) | the number of passengers can be transferred | Vulnerability Assessment |
\(\theta\) | a generic model parameter | Sensitivity analysis |
\({S_\theta }\) | parameter perturbation stability | Sensitivity analysis |
\({\rho _\theta }\) | Identification and ranking changes of critical paths under parameter perturbations | Sensitivity analysis |
