Increasing Robustness by Reallocating the Margins in the Timetable

Table 3

Delay Evaluation results.

(a) Objective function values for the Example

Repetitions	Original Timetable; (Seconds)	Modified Timetable; (Seconds)	Improvement (%)
R=100	64.4907	62.3922	3.25%

(b) Objective function values for real world case (60 Seconds)

Repetitions	Original Timetable; (Seconds)	Modified Timetable; (Seconds)	Difference; (Seconds)
R=20	47264	44874	2389.6
R=50	44560	42168	2392.5
R=100	46885	44495	2390.8
R=500	46138	43748	2390
Improvement (%) ≈			5.18

(c) Average delays versus disturbance level for real world case (100 repetitions)

Disturbance; (Seconds)	Original Timetable; (Seconds)	Modified Timetable; (Seconds)	Difference; (Seconds)	Improvement (%)
60	44949	42561	2388.5	5.3138
120	63452	61122	2329.4	3.671121
180	97108	94955	2153.1	2.217222
240	127060	124980	2080.2	1.637179
300	155880	153850	2025.7	1.299525
360	208980	207080	1902.8	0.910518
420	221450	219520	1924	0.868819
480	240070	238160	1907.2	0.794435
540	283150	281300	1850.1	0.653399
600	322160	320360	1794.4	0.55699