Problem 1. An MDP state transition graph is given below. The agent wants to go from S1 or S2 to the goal state S3. Suppose that the agent follows a fixed policy where it takes action a2 in state S1 and takes action a3 in state S2. For this fixed policy, calculate the expected cost to go from S1 to the goal, denoted as V" (S1); and calculate the expected cost to go from S2 to the goal, denoted as V" (S2). In the graph below, 0.5/2 means the state transition probability T (S1, a2, S1) = 0.5 and the associated immediate cost c(S1, a2, S1) = 2. Show your work. 0.5/2 S1 a2 al 0.75/2 0.5/1 0.4/2 S2 a3 0.6/1 0.25/1 S3 Goal state

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Problem 1. An MDP state transition graph is given below. The agent wants to go from S1 or S2
to the goal state S3. Suppose that the agent follows a fixed policy where it takes action a2 in state
S1 and takes action a3 in state S2. For this fixed policy, calculate the expected cost to go from S1
to the goal, denoted as VT (S1); and calculate the expected cost to go from S2 to the goal, denoted
as V (S2). In the graph below, 0.5/2 means the state transition probability T (S1, a2, S1) = 0.5
and the associated immediate cost c(S1, a2, S1) = 2.
Show your work.
0.5/2
S1
a2
a1
0.75/2
0.5/1
0.4/2
0.25/1
S2
a3
0.6/1
S3
Goal state
Transcribed Image Text:Problem 1. An MDP state transition graph is given below. The agent wants to go from S1 or S2 to the goal state S3. Suppose that the agent follows a fixed policy where it takes action a2 in state S1 and takes action a3 in state S2. For this fixed policy, calculate the expected cost to go from S1 to the goal, denoted as VT (S1); and calculate the expected cost to go from S2 to the goal, denoted as V (S2). In the graph below, 0.5/2 means the state transition probability T (S1, a2, S1) = 0.5 and the associated immediate cost c(S1, a2, S1) = 2. Show your work. 0.5/2 S1 a2 a1 0.75/2 0.5/1 0.4/2 0.25/1 S2 a3 0.6/1 S3 Goal state
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