Optimizing Crew Rostering with Multilicense on High-Speed Railway Lines

Table 3

Optimal cycle schemes with different Δ𝑛.

Reasonable cycle schemes			Crewmembers used under certain cycle scheme
Scheme	Planning horizon	Working days	Δ𝑛=0	Δ𝑛=1	Δ𝑛=2	Δ𝑛=3	Δ𝑛=4	Δ𝑛=5	Δ𝑛=6	Δ𝑛=7
1	4	3	60	60	𝟔𝟎^∗	64	64	64	68	68
2	9	7	63	63	63	𝟔𝟑^∗	𝟔𝟑^∗	𝟔𝟑^∗	𝟔𝟑^∗	72
3	13	10	65	65	65	65	65	65	65	65
4	14	11	𝟓𝟔^∗	𝟓𝟔^∗	70	70	70	70	70	70
5	18	14	72	72	72	72	72	72	72	72
6	23	18	69	69	69	69	69	69	69	69
7	27	21	81	81	81	81	81	81	81	81
8	28	22	𝟓𝟔^∗	𝟓𝟔^∗	84	84	84	84	84	84
9	32	25	64	64	64	64	64	64	64	𝟔𝟒^∗
10	36	28	72	72	72	72	72	72	72	72