| Notation . | Definition . |
|---|---|
| S | Set of stations, S = {1, …, i, …, |S|}, i∈S, |S| is the total number of stations on the high-speed rail line. |
| K | Set of trains, k∈K, k = 1, 2, …|K|. |K| is the total number of trains. |
| W | Set of OD pairs, w∈W. |
| A | Section set between two adjacent stations, a∈A, a = 1, 2, …, |A|. |A| is the total number of sections. |
| Ck | Maximum seat capacity of train k. |
| (i, j) | OD pair from station i to station j, where i = 1, 2, …, |S|−1, j = i+1, …, |S|. |
| pij | Ticket price of OD (i, j)∈W. |
| qij | Passenger demand of OD(i, j). |
| |$b_{ij}^k$| | Decision variable, seats of the train k allocated to OD(i, j). |
| xks | xks=1, train k stops at station s; xks = 0, train k does not stop at station s. |
| Notation . | Definition . |
|---|---|
| S | Set of stations, S = {1, …, i, …, |S|}, i∈S, |S| is the total number of stations on the high-speed rail line. |
| K | Set of trains, k∈K, k = 1, 2, …|K|. |K| is the total number of trains. |
| W | Set of OD pairs, w∈W. |
| A | Section set between two adjacent stations, a∈A, a = 1, 2, …, |A|. |A| is the total number of sections. |
| Ck | Maximum seat capacity of train k. |
| (i, j) | OD pair from station i to station j, where i = 1, 2, …, |S|−1, j = i+1, …, |S|. |
| pij | Ticket price of OD (i, j)∈W. |
| qij | Passenger demand of OD(i, j). |
| |$b_{ij}^k$| | Decision variable, seats of the train k allocated to OD(i, j). |
| xks | xks=1, train k stops at station s; xks = 0, train k does not stop at station s. |
| Notation . | Definition . |
|---|---|
| S | Set of stations, S = {1, …, i, …, |S|}, i∈S, |S| is the total number of stations on the high-speed rail line. |
| K | Set of trains, k∈K, k = 1, 2, …|K|. |K| is the total number of trains. |
| W | Set of OD pairs, w∈W. |
| A | Section set between two adjacent stations, a∈A, a = 1, 2, …, |A|. |A| is the total number of sections. |
| Ck | Maximum seat capacity of train k. |
| (i, j) | OD pair from station i to station j, where i = 1, 2, …, |S|−1, j = i+1, …, |S|. |
| pij | Ticket price of OD (i, j)∈W. |
| qij | Passenger demand of OD(i, j). |
| |$b_{ij}^k$| | Decision variable, seats of the train k allocated to OD(i, j). |
| xks | xks=1, train k stops at station s; xks = 0, train k does not stop at station s. |
| Notation . | Definition . |
|---|---|
| S | Set of stations, S = {1, …, i, …, |S|}, i∈S, |S| is the total number of stations on the high-speed rail line. |
| K | Set of trains, k∈K, k = 1, 2, …|K|. |K| is the total number of trains. |
| W | Set of OD pairs, w∈W. |
| A | Section set between two adjacent stations, a∈A, a = 1, 2, …, |A|. |A| is the total number of sections. |
| Ck | Maximum seat capacity of train k. |
| (i, j) | OD pair from station i to station j, where i = 1, 2, …, |S|−1, j = i+1, …, |S|. |
| pij | Ticket price of OD (i, j)∈W. |
| qij | Passenger demand of OD(i, j). |
| |$b_{ij}^k$| | Decision variable, seats of the train k allocated to OD(i, j). |
| xks | xks=1, train k stops at station s; xks = 0, train k does not stop at station s. |
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