8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

1/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

2/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

3/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

4/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

5/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

6/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

7/24

j j[li, ui ]Ti j

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

8/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

9/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

10/24

T

dij0 lij uij

fij

T

dij0 lij uij

fij

I II

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

11/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

12/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

13/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

14/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

15/24

6r1 2

2 3

r2 3

r4 5

5

1

4 6

6

r5 6

s1 4 s2 5 s3 6

2 3

5

3

6

6

3

6

r +r1 2 2 32

r +r4 5 5 6

5

1

4

s '1 4 s3 6

3

6

1

4

s ''1 4

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

16/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

17/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

18/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

19/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

20/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

21/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

22/24

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

23/24

[3,57]T [28,32]T[2,5]T

train A

train D

train C

train B

Rotterdam Utrecht Amsterdam

[30]T [1,3]T

8/11/2019 A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem - Peeters, Kroon

24/24