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Table 6 Optimal combination of treatments for a variety of states at Stage 1

From: Comparative effectiveness research on patients with acute ischemic stroke using Markov decision processes

No. of cases

States at t1

Actions at t1

Rewards at t2*

 

i 1

i 2

i 3

i 4

i 5

i 6

a 1

a 2

a3

a 4

a 5

 

130

3

1

0

1

2

2

0

1

0

1

1

4.000

122

3

1

0

1

2

1

0

1

0

1

1

1.000

57

3

1

0

1

1

1

0

0

1

0

1

1.000

51

3

1

0

1

2

3

1

0

0

0

1

6.283

50

2

1

0

1

2

1

1

0

1

0

1

2.000

43

2

1

0

1

2

2

1

1

0

0

1

3.700

41

3

0

0

1

2

1

0

1

0

0

1

0.344

40

3

1

0

1

1

2

0

0

0

0

1

5.000

38

3

1

0

1

1

3

0

0

1

1

1

7.333

35

3

0

0

1

2

2

1

1

0

1

1

1.750

33

3

0

0

1

2

3

1

0

0

0

0

12.000

31

2

1

0

1

1

1

1

0

1

1

1

0.694

30

2

1

0

1

1

2

1

0

1

1

1

2.056

23

2

1

0

1

1

3

0

0

1

1

1

7.000

22

2

0

0

1

1

1

0

0

0

0

1

0.667

22

2

0

0

1

2

1

0

0

0

0

1

1.000

21

2

1

0

1

2

3

1

1

1

1

1

5.571

20

3

0

0

1

1

1

0

0

1

1

1

2.000

18

2

0

0

1

2

2

0

1

0

0

1

1.000

18

3

0

0

1

1

2

0

0

1

1

1

4.500

18

3

1

0

1

3

1

0

1

0

0

1

3.000

17

2

0

0

1

2

3

0

1

0

1

1

4.636

16

2

0

0

1

1

2

1

0

1

0

1

5.200

11

3

1

0

1

3

2

0

1

0

0

1

2.000

10

3

0

0

1

1

3

1

1

1

1

1

6.000

10

3

1

0

1

4

1

0

0

1

1

0

1.500

10

3

1

1

1

2

3

1

1

1

1

1

6.100

9

2

1

0

1

3

1

0

0

1

0

1

2.000

8

3

1

1

1

2

2

0

1

0

0

1

0.000

6

2

1

0

1

4

2

0

0

0

0

1

0.333

  1. *At timepoint 1 (t1) Actionsare given to the States, and get Rewardsat t2. (The following the same)