Question

For each one of the following problem, please provide the  State tuple, initial state and size of state space, goal test, successor function/action, and cost function.

1. An AI robot is to clean an area with 2*2 rooms.
2. Consider the problem of solving two 8-puzzles.
3. An AI agent fell and broke its clock and it needs to burn ropes to measure time. It has three pieces of ropes, one takes 12 minutes to burn, one 8 minutes, and one 3 minutes. Use AI to measure out exactly 1 minute of time.
4. We are creating an AI agent to answer customer phone calls automatically. Please define the agent as an AI problem with states such as ideal, talking with customer, and etc.
5. Someone suggested that we need an AI to do homework for us. Please formulate it into an AI search problem.

Answer 1

I am going to give the solution partwise:-

1 Ai needs to clean a 2x2 room

State tuple would contain the room no and whether it has finished cleaning or not

Initial state would have no room and not finished

state space will be number of rooms which is 4 (+1 for initial state)

goal state will be when it has finished clearing

succesor function will be to move to the next room if not finished cleaning

cost function will be the amount of time required to clean a room

2. state tuple would be the current state and also whether it is live(children nodes not yet explored), e(currently being explored) or dead(all children explored but coiuld not find solution) node in a tree form

initial and goal states would be specified

state space would be all possible states that can be reached from the initial state

succesor function would be the child node according to a legal move

cost function would be the number of states explored to arrive at the goal state

3. to measure out exactly 1 minute of time, start burning the 12 and 8 minutes simultaneously. When the 8 minutes would have burned off, 4 minutes would remain on the 12 min rope. Start the 3 min then. When it also burns then 1 min would remain on the 12 min rope.

for AI system it need to measure the combination it can measure using these 3 ropes which are:

12, 8, 3 , 20, 23, 11, 1, 4, 7 etc.

these can be constructed by multiplying each term with 0, 1 or -1 and ignoring the negative times

4. initial state - idle

goal state - idle

state space, idle, engaged, busy,talking, resolving, feedback

cost function would be amount of time spent per state

5..to solve homework using AI is a very generic issue. AI can be used as an issue solver like google search bar where you casn type queries and can have predictive analysis done upon it. You can also use NLP to consturct paragraphs and generic essays. Much work is to be done on this.