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Index sets | | Set of metro stations |
| Set of the goods |
| Set of metro trains |
| A large positive number |
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Parameters | | Number of cargo boxes in train |
| Set of goods should be loaded when the train departs from the station |
| Originating station of goods |
| Destination station of goods |
| Maximum number of cargo boxes in a carriage of metro train |
| Set of goods loaded at station |
| Set of goods unloaded at station |
| The time of loading and unloading each cargo box |
| Arrival time at station for metro train |
| Departure time at station for metro train |
| Arrival time of the last metro train to station |
| Departure time of goods at the originating station |
| Arrival time of goods at the destination station |
| Minimum stop time for metro trains |
| Maximum stop time of metro trains |
| Minimum departure time of the metro train at the first metro station |
| Maximum departure time of the metro train at the first metro station |
| Departure time of the metro train at station |
| Minimum headway between metro trains |
| Running time from station to station |
| Running distance from station to station |
| Loading and unloading cost for each cargo box |
| Operation cost for each cargo box |
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Decision variables | | 1 if goods is transported by metro train , 0 otherwise. |
| Stop time of the metro train at station |
| Departure time interval between metro train and train at the first station |
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