{ From user Lonnie, Model Decision_tree_transl at 13-Jan-2010 11:41:29 AM }
Softwareversion 4.2.3
{ System Variables with non-default values: }
Typechecking := 1
Checking := 1
Saveoptions := 2
Savevalues := 0
{!40000|Att_contlinestyle Graph_primary_valdim: 1}
Model Decision_tree_transl
Author: Lonnie
Date: Wed, Jan 13, 2010 10:54 AM
Saveauthor: Lonnie
Savedate: Wed, Jan 13, 2010 11:41 AM
Defaultsize: 48,24
Diagstate: 1,23,22,713,313,19
Windstate: 2,102,90,476,224
Diagramcolor: 65535,65535,65535
Fontstyle: Arial, 15
Fileinfo: 0,Model Decision_tree_transl,2,2,0,0,W:\TestModels\decision tree translation.ana
Index I_d1
Title: I D1
Description: Possible options for the first decision.
Definition: [1,2]
Nodelocation: 88,56,1
Nodesize: 48,24
{!40000|Att_previndexvalue: [1,2]}
Index I_d2
Title: I D2
Description: Possible options for the second decision.
Definition: [1,2]
Nodelocation: 240,56,1
Nodesize: 48,24
{!40000|Att_previndexvalue: [1,2]}
Index I_d3
Title: I D3
Description: Possible options for the third decision.
Definition: [1,2]
Nodelocation: 416,56,1
Nodesize: 48,24
{!40000|Att_previndexvalue: [1,2]}
Chance C1
Title: C1
Definition: Table(I_d1,Self)(~
0.2,0.8,~
0.4,0.6~
)
Indexvals: [0,1]
Nodelocation: 168,120,1
Nodesize: 48,24
Defnstate: 2,483,222,416,303,0,MIDM
Reformdef: [Self,I_d1]
{!40000|Att_previndexvalue: [0,1]}
Chance C2
Title: C2
Definition: Table(C1,Self,I_d1,I_d2)(~
0,0,~
0,0,~
0.1,0.2,~
1,0.8,~
0,0,~
0,0,~
0.1,0.4,~
0.25,0.3~
)
Indexvals: [0,1]
Nodelocation: 336,120,1
Nodesize: 48,24
Defnstate: 2,399,209,416,303,0,MIDM
Reformdef: [Self,I_d1]
{!40000|Att_editslicestate: [I_d2,2,C1,1,I_d1,1,Self,1]}
{!40000|Att_previndexvalue: [0,1]}
Objective U
Title: U
Description: The utility of all leaf outcomes. Here we have an explicit tables of numbers (which is pretty large). Usually these utilities would be computed by an expression, or even by an entire model, using I_D1, I_D2, I_D3, C1 and C2 as inputs.
Definition: Table(I_d1,I_d2,I_d3,C1,C2)(~
0,30,~
0,27,~
0,3,~
0,50,~
0,17,~
0,74,~
0,11,~
0,35,~
0,41,~
0,16,~
0,89,~
0,96,~
0,90,~
0,42,~
0,75,~
0,29~
)
Nodelocation: 504,120,1
Nodesize: 48,24
Valuestate: 2,485,235,416,303,0,MIDM
Reformdef: [I_d3,C2]
Reformval: [C2,I_d3]
{!40000|Att_editslicestate: [I_d1,1,I_d2,1,C1,2,C2,1,I_d3,1]}
Variable Leaf_probability
Title: Leaf probability
Description: The computes the probability of reaching a given leaf node GIVEN a particular policy. The possible decisions (I_D1 and I_D2) identify the space of possible policies (I_D3 is also needed to identify the full space of all possibilities, but is not needed here since the leaf probability does not vary with D_3).
Definition: C1*C2
Nodelocation: 616,120,1
Nodesize: 48,24
Windstate: 2,304,507,476,224
Valuestate: 2,543,434,416,303,0,MIDM
Reformval: [C2,C1]
Decision D_3
Title: D_3
Description: The decision taken for the 3rd decision when following the optimal policy.
Definition: argmax( U, I_D3)
Nodelocation: 416,192,1
Nodesize: 48,24
Valuestate: 2,35,440,416,303,0,MIDM
Reformval: [C2,C1]
{!40000|Att_resultslicestate: [I_d1,1,I_d2,1,C1,1,C2,1]}
Variable U2
Title: U2
Description: This is the expected utility from the point of view of the first 2 stages of the decision tree only, and hence is the expected utility of all outcomes as viewed from the D_2 decision maker.
Definition: Sum(U[I_D3=D_3] * C2, C2)
Nodelocation: 336,256,1
Nodesize: 48,24
Valuestate: 2,337,406,416,303,0,MIDM
Reformval: [I_d2,C1]
Decision D_2
Title: D_2
Description: The decision taken for the 2nd decision when following the optimal policy.
Definition: ArgMax( U2, I_D2)
Nodelocation: 240,192,1
Nodesize: 48,24
Variable U1
Title: U1
Description: This is the expected utility from the point of view of the first stage of the decision tree only, and hence is the expected utility of all outcomes as viewed from the D_1 decision maker.
Definition: Sum( U2[I_D2=D_2] * C1, C1 )
Nodelocation: 168,256,1
Nodesize: 48,24
Decision D_1
Title: D_1
Description: The decision taken for the first decision when following the optimal policy.
Definition: ArgMax(U1,I_D1)
Nodelocation: 88,192,1
Nodesize: 48,24
Close Decision_tree_transl