Optimization Based High-Speed Railway Train Rescheduling with Speed Restriction

Table 5

Rescheduling results comparison on different rerouting strategies.

Rerouting; strategy	Restricted section(s)	Speed limitation (km/h)	Merged trains	Detoured trains	Cancelled trains	𝜂1	𝜂2	𝜆	𝛾	Total delay (m)	Calculation time(s)
RS-1
𝛿=1,…,5	1st section	50		G157, G159, K113, K105, K103		35	20	0	50	3217.6	8.25
	1st and 2nd sections	80		G153, G155, G157, G159, K113		14	41	0	48	3484.91	6.77
		50		G153, G155, G157, G159, K113		0	55	0	48	6608.88	6.75
	All (1st–6th) sections	100		G151, G153, G155, G157, G159		0	55	0	47	5971.05	4.89
		80		G153, L9, G155, G157, G159		0	55	0	47	8300.7	4.88
		50		G153, L9, G155, G157, G159		0	55	6	47	15337.03	4.94
𝛿=6	1st section	50	G141-DJ507	G157, G159, K113, K105, K103		34	20	0	49	3160.98	6.98
	1st and 2nd sections	80	G141-DJ507	G153, G155, G157, G159, K113		14	41	0	47	3424.73	5.61
		50	G141-DJ507	G153, G155, G157, G159, K113		0	54	0	47	6491.93	5.81
	All (1st–6th) sections	100	G141-DJ507	G151, G153, G155, G157, G159		0	54	0	46	5866.53	3.88
		80	G141-DJ507	G153, L9, G155, G157, G159		0	54	0	46	8153.53	4.56
		50	G141-DJ507	G153, L9, G155, G157, G159		0	54	6	46	15061.93	3.86
𝛿=7	1st section	50	DJ505-G103, G141-DJ507	G157, G159, K113, K115, K103		35	18	0	48	3098.01	6.66
	1st and 2nd sections	80	DJ505-G103, G141-DJ507	G153, G155, G157, G159, K113		13	40	0	46	3362.55	5.55
		50	DJ505-G103, G141-DJ507	G153, G155, G157, G159, K113		0	53	0	46	6366.15	5.27
	All (1st–6th) sections	100	DJ505-G103, G141-DJ507	G151, G153, G155, G157, G159		0	53	0	45	5750.48	3.62
		80	DJ505-G103, G141-DJ507	G153, L9, G155, G157, G159		0	53	0	45	7994.83	3.66
		50	G141-DJ507	G151, G153, L9, G155, G157	G159	0	53	5	45	14789.83	3.55
𝛿=8	1st section	50	DJ505-G103, G141-DJ507,; G145-G143	G157, G159, K109, K115, K101		35	17	0	47	3037.26	6.77
	1st and 2nd sections	80	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K113		12	40	0	45	3302.73	5.27
		50	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K113		0	52	0	45	6250.73	5.33
	All (1st–6th) sections	100	DJ505-G103, G141-DJ507	G151, G153, G155, G157, G159	K113	0	52	0	45	5648.96	3.65
		80	DJ505-G103, G141-DJ507	G153, L9, G155, G157, G159	G151	0	52	0	44	7850.66	4.03
		50	DJ505-G103, G141-DJ507	G151, G153, L9, G155, G157	G159	0	52	5	44	14503.2	3.55
𝛿=9	1st section	50	DJ505-G103, G141-DJ507,; G145-G143, G129-G131	G157, G159, K101, K115, K103		34	17	0	46	2983.88	6.05
	1st and 2nd sections	80	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K103	K111	13	38	0	45	3227.95	4.36
		50	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K103	K105	0	51	0	45	6128.98	4.75
	All (1st–6th) sections	100	DJ505-G103, G141-DJ507,; G145-G143	G151, G153, G155, G157, G159	K113	0	51	0	44	5552.45	3.67
		80	DJ505-G103, G141-DJ507	G153, L9, G155, G157, G159	G151, K113	0	51	0	44	7706.5	3.67
		50	DJ505-G103, G141-DJ507	G151,, L9, G155, G157, G159	G149, G153	0	51	4	43	14235.3	3.52
𝛿=10	1st section	50	DJ505-G103, G141-DJ507,; G145-G143, G129-G131	G157, G159, K101, K115, K103	K113	33	17	0	46	2923.53	4.75
	1st and 2nd sections	80	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K103	K111, K109	13	37	0	45	3164.76	4.14
		50	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K103	K105, K111	0	50	0	45	5996.68	4.39
	All (1st–6th) sections	100	DJ505-G103, G141-DJ507,; G145-G143	G151, L9, G155, G157, G159	G153, K113	0	50	0	43	5434.83	2.84
		80	DJ505-G103, G141-DJ507	G151, G159, L9, G155, G157	G153, G149, K113	0	50	0	43	7562.33	2.89
		50	DJ505-G103, G141-DJ507	G149, G151, G153, L9, G157	G155, G159, K113	0	50	3	43	13959.0	2.81
𝛿=11	1st section	50	DJ505-G103, G141-DJ507,; G145-G143, G129-G131	G157, G159, K105, K115, K103	K113, K111	32	17	0	46	2866.5	4.42
	1st and 2nd sections	80	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K115	K111, K109, K113	12	37	0	45	3106.78	3.83
		50	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K101	K105, K111, K113	0	49	0	45	5876.9	3.94
	All (1st–6th) sections	100	DJ505-G103, G141-DJ507,; G145-G143	G151, L9, G155, G157, G159	G153, K113, K115	0	49	0	43	5332.31	3.25
		80	DJ505-G103, G141-DJ507,; G145-G143	G149, G155, G159, L9, G157	K113, G153, G151	0	49	0	42	7423.16	3.39
		50	DJ505-G103, G141-DJ507, G145-G143	G151, G153, L9, G155, G157	G159, G149, K113	0	49	2	42	13691.9	3.24
𝛿=12	1st section	50	DJ505-G103, G141-DJ507,; G145-G143, G129-G131	G157, G159, K105, K115, K103	K113, K111, K109	31	17	0	46	2807.6	4.19
	1st and 2nd sections	80	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K101	K111, K109, K113, K115	12	36	0	45	3036.18	3.86
		50	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K103	K105, K109, K111, K113	0	48	0	45	5763.36	3.64
	All (1st–6th) sections	100	DJ505-G103, G141-DJ507,; G145-G143	G151, L9, G155, G157, G159	G153, K113, K115, K109	0	48	0	43	5224.8	2.88
		80	DJ505-G103, G141-DJ507,; G145-G143	G149, G155, G159, L9, G157	K101, K113, G153, G151	0	48	0	42	7265.58	2.64
		50	DJ505-G103, G141-DJ507, G145-G143	G149, G151, G153, L9, G157	K105, K113, G155, G159	0	48	2	42	13413.8	2.53
𝛿=13	1st section	50	DJ505-G103, G141-DJ507,; G145-G143, G129-G131	G157, G159, K105, K115, K103	K113, K111, K109, K107	31	16	0	46	2741.58	3.77
	1st and 2nd sections	80	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K103	K111, K109, K113, K115, K101	12	35	0	45	2972.0	3.41
		50	DJ505-G103, G141-DJ507,; G145-G143	G153, G155, G157, G159, K103	K105, K109, K111, K113, K115	0	47	0	45	5647.45	3.46
	All (1st–6th) sections	100	DJ505-G103, G141-DJ507,; G145-G143	G151, G153, L9, G155, G157	K115, K109, K113, K101, G159	0	47	0	43	5109.86	2.39
		80	DJ505-G103, G141-DJ507,; G145-G143	G149, G151, L9, G157, G159	K115, K101, K113, G153, G155	0	47	0	42	7120.41	3.19
		50	DJ505-G103, G141-DJ507, G145-G143	G151, G153, L9, G155, G157	K115, K105, K113, G149, G159	0	39	2	39	10841.9	2.95
RS-2	1st section	50	—	—	—	0	1	0	10	118.63	65.47
	1st and 2nd sections	80	—	—	—	0	1	0	11	174.03	18.73
		50	—	—	—	2	2	0	11	352.73	67.53
	All (1st–6th) sections	100	—	—	—	3	1	0	52	806.1	13.22
		80	—	—	—	0	5	0	47	963.73	18.08
		50	—	—	—	0	12	0	49	2512.74	563.59