VU Computer Science Dynamic Programming and Exercises

Description

1. Given the dynamic programming problem of finding the optimal way of carrying n people to the top floor. Problem Link: https://cses.fi/problemset/task/1653

a. Formulate this problem as a Markov Decision Process where the elevator takes the shortest path to get all people to the top floor. For simplicity, consider number of people [n = 4]. You do not need to write any code for this problem

i. State space: Explain the state space for your formulation

ii. Action space: Explain the action space for your formulation

iii. Reward space: What would the reward function be, for this given task, such that we find the shortest sequence of decisions

iv. Transition Probability: Given your current state from part (i) and an action from part (ii), what would be the next state(s)

2. Solve any 4 the following exercises from the book. Book Link: http://incompleteideas.net/book/RLbook2020.pdf

a. Exercise 3.6

b. Exercise 3.12

c. Exercise 5.3

d. Exercise 6.2

e. Exercise 6.11

f. Exercise 6.12

g. Exercise 9.4

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