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| Name | Description | Units | Purpose |
|
| Set of stations | - | Set |
| Set of trains | - | Set |
| Set of time stamps in which trains can arrive at station | - | Set |
| Set of time stamps in which trains departure from station | - | Set |
|
| Shunting yard of the metro line | - | Symbol |
| Station index | - | Symbol |
| Total number of stations | - | Symbol |
| Train index | - | Symbol |
| Total number of trains within a given period/Frequency | - | Symbol |
| Time index | - | Symbol |
| Arrival node of train | - | Symbol |
| Departure node of train | - | Symbol |
| Time stamp associated with node (or ) | - | Symbol |
| Time duration between two nodes and ( is allowed) | - | Symbol |
| Path of train | - | Symbol |
| Time duration | - | Symbol |
| The largest integer that is smaller than real number | - | Symbol |
| The smallest integer that is larger than real number | - | Symbol |
| A vector (represented by any bold alphabet) | - | Symbol |
| A matrix (represented by any double-struck alphabet) | - | Symbol |
| A sub-matrix whose elements correspond to those in matrix , from rows to , and from columns from to | - | Symbol |
| Sum of all (numerical) elements in matrix | - | Symbol |
|
| Average energy cost | ¥/Kwh | Parameter |
| Average train operating cost | ¥ /(trainkm) | Parameter |
| Average passenger travel time cost | ¥/(passengerhour) | Parameter |
| Average passenger wait time cost | ¥/(passengerhour) | Parameter |
| Average capital cost of one train | ¥/(trainhour) | Parameter |
| Total cost of the whole system | ¥ | Parameter |
| Total cost of energy consumption | ¥ | Parameter |
| Total cost of passenger time | ¥ | Parameter |
| Total cost of train (rolling stock) | ¥ | Parameter |
| Maximum allowable dwell time at station | Second | Parameter |
| Minimum allowable dwell time at station | Second | Parameter |
| Energy consumption per unit mass for one train in segment | Kwh/Kg | Parameter |
| Tractive force per unit mass | | Parameter |
| Running resistance per unit mass | | Parameter |
| Fleet size (the number of trains) | Trains | Parameter |
| Minimum headway | Second | Parameter |
| Net weight of a train | Kg/train | Parameter |
| Average weight of a passenger | Kg/passenger | Parameter |
| Number of doors per train | - | Parameter |
| Capacity of train | Passengers | Parameter |
| Number of passengers alighting train at station | Passengers | Parameter |
| Number of passengers boarding train at station | Passengers | Parameter |
| Number of passengers boarding train at station with destination | Passengers | Parameter |
| Number of passengers arriving at station during | Passengers | Parameter |
| Number of passengers arriving at station with destination during | Passengers | Parameter |
| Number of passengers waiting at station at time | Passengers | Parameter |
| Number of passengers in train at time | Passengers | Parameter |
| Length of segment (between station and ) | Meter | Parameter |
| Maximum segment travel time for segment | Second | Parameter |
| Minimum segment travel time for segment | Second | Parameter |
| Arrival time of train at station | Second | Parameter |
| Alighting end time for train at station | Second | Parameter |
| Boarding end time for train at station /Departure time | Second | Parameter |
| End time of passenger demand for a period | Second | Parameter |
| End time of a complete timetable for a period | Second | Parameter |
| Round trip time (total travel time from the departure from the shunting yard to the arrival at the shunting yard) of train | Second | Parameter |
| Total passenger travel time | Second | Parameter |
| Total passenger wait time | Second | Parameter |
| Turnaround time | Second | Parameter |
| Speed of train at time | m/s | Parameter |
| Position of train at time | Meter | Parameter |
| Passenger arrival rate at station with destination at time | Passengers/second | Parameter |
| Passenger arrival rate at station at time | Passengers/second | Parameter |
| Passenger alighting rate | Passengers/second | Parameter |
| Passenger boarding rate | Passengers/second | Parameter |
| Parameter for energy approximation | - | Parameter |
| Parameter for energy approximation | - | Parameter |
|
| Segment travel time of segment | Second | Decision |
| Arrival time of train at the first station | Second | Decision |
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