Table 2 Set definitions.
From: The integration of optimizing train timetables with EMU route plans
Set | Definition of parameters |
|---|---|
\(\operatorname{T}\) | The set of trains in a given timetable, \(i \in {\varvec{T}}\) |
\({\varvec{D}}\) | The set of depots, \(d \in {\varvec{D}}\) |
\({{\varvec{T}}_d}\) | The set of trains that can be operated from depot d, \(d \in {\varvec{D}}\) |
\({\varvec{E}}\) | The set of EMU types that can be used, \(e \in {\varvec{E}}\) |
\({\varvec{S}}\) | The set of stations, \(s \in {\varvec{S}}\) |
\({\varvec{R}}\) | The set of EMU routes considering maintenance, \(r \in {\varvec{R}}\) |
\({\varvec{B}}{\varvec{S}}(i)\) | The predecessor node set of node i, \({\varvec{B}}{\varvec{S}}(i)\)={u: (u, i)∈A} |
\({\varvec{F}}{\varvec{S}}(i)\) | The successor node set of node i, \({\varvec{F}}{\varvec{S}}(i)\)={j: (i,j)∈A} |
\({\varvec{A}}{\varvec{S}}(r)\) | The set of connection arcs on route r |
\({\varvec{N}}{\varvec{S}}(r)\) | The set of train nodes on route r |
M | The types of restricted resources along a route, \(m \in {\varvec{M}}\) |
