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Federico Pizzari 2022-11-15 14:27:16 +01:00
parent eb8ea2909c
commit 935d4532aa
162 changed files with 1435 additions and 2 deletions
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0721_8/quest.txt Normal file
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Si consideri la seguente Markov Chain:
Quale dei seguenti modelli Modelica fornisce un modello ragionevole per la Markov Chain di cui sopra?

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model System
parameter Integer F1 = 1;
parameter Integer F2 = 2;
parameter Integer F3 = 3;
parameter Integer End = 4;
parameter Real p = 0.3;
parameter Real A[4, 4] =
[
p, 0 , 1-p, 0;
p, 1-p, 0, 0;
p, 0, 0, 1-p;
0, 0, 0, 1
];
Integer x; Real r1024;
Integer state1024[Modelica.Math.Random.Generators.Xorshift1024star.nState];
algorithm
when initial() then
state1024 := Modelica.Math.Random.Generators.Xorshift1024star.initialState(614657, 30020);
x := F1;
r1024 := 0;
elsewhen sample(0,1) then
(r1024,state1024) := Modelica.Math.Random.Generators.Xorshift1024star.random(pre(state1024));
if (r1024 <= A[x, F1]) then
x := F1;
elseif (r1024 <= A[x, F1] + A[x, F2]) then
x := F2;
elseif (r1024 <= A[x, F1] + A[x, F2] + A[x, F3]) then
x := F3;
else
x := End;
end if;
end when;
end System;

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model System
parameter Integer F1 = 1;
parameter Integer F2 = 2;
parameter Integer F3 = 3;
parameter Integer End = 4;
parameter Real p = 0.3;
parameter Real A[4, 4] =
[
p, 0, 1-p, 0;
0, p, 1-p, 0;
p, 0, 0, 1-p;
0, 0, 0, 1
];
Integer x; Real r1024;
Integer state1024[Modelica.Math.Random.Generators.Xorshift1024star.nState];
algorithm
when initial() then
state1024 := Modelica.Math.Random.Generators.Xorshift1024star.initialState(614657, 30020);
x := F1;
r1024 := 0;
elsewhen sample(0,1) then
(r1024,state1024) := Modelica.Math.Random.Generators.Xorshift1024star.random(pre(state1024));
if (r1024 <= A[x, F1]) then
x := F1;
elseif (r1024 <= A[x, F1] + A[x, F2]) then
x := F2;
elseif (r1024 <= A[x, F1] + A[x, F2] + A[x, F3]) then
x := F3;
else
x := End;
end if;
end when;
end System;

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model System
parameter Integer F1 = 1;
parameter Integer F2 = 2;
parameter Integer F3 = 3;
parameter Integer End = 4;
parameter Real p = 0.3;
parameter Real A[4, 4] =
[
p, 1-p, 0, 0;
p, 0, 1-p, 0;
p, 0, 0, 1-p;
0, 0, 0, 1
];
Integer x; Real r1024;
Integer state1024[Modelica.Math.Random.Generators.Xorshift1024star.nState];
algorithm
when initial() then
state1024 := Modelica.Math.Random.Generators.Xorshift1024star.initialState(614657, 30020);
x := F1;
r1024 := 0;
elsewhen sample(0,1) then
(r1024,state1024) := Modelica.Math.Random.Generators.Xorshift1024star.random(pre(state1024));
if (r1024 <= A[x, F1]) then
x := F1;
elseif (r1024 <= A[x, F1] + A[x, F2]) then
x := F2;
elseif (r1024 <= A[x, F1] + A[x, F2] + A[x, F3]) then
x := F3;
else
x := End;
end if;
end when;
end System;