Table 6 Definition of parameters.
From: The integration of optimizing train timetables with EMU route plans
Parameter | Definition of parameters |
|---|---|
L(i) | A set of valid labels for node i, \(\forall i \in {\varvec{N}}\) |
\({l_i}=(R{C_i},A{D_i},A{T_i},{P_i})\) | \({l_i}=(R{C_i},A{D_i},A{T_i},{P_i})\) is a label for node i, \({l_i} \in {\Gamma _i}\).; each of the labels h = 1,..., Hi represents a route r from the origin depot to node i |
RCi | The reduced cost accumulated from the starting node to node i |
ATi | The time accumulated from the last overhaul to node i |
ADi | The mileage accumulated from the last overhaul to node i |
Pi | \({P_i}=({\theta _1},{\theta _2},...,{\theta _n},...,{\theta _{\left| {\varvec{N}} \right|}})\), n = 1,...,\(\left| {\varvec{N}} \right|\), is a Boolean vector that indicates the state of a visited train node, where \(\left| {\varvec{N}} \right|\) is the number of nodes included in set N, \(\forall i \in {\varvec{N}}\) |
