A food service centre has an agent responsible for...

Name: a food service centre has an agent responsible for delivering food to multiple locations in the city the agent needs to plan an efficient route to deliver food to the following four destinat 24366
Uploaded: 2023-08-07T18:35:22-08:00
Duration: 10 min 19 s
Channel: Akash M
Description: a food service centre has an agent responsible for delivering food to multiple locations in the city the agent needs to plan an efficient route to deliver food to the following four destinat 24366

A food service centre has an agent responsible for delivering food to multiple locations in the city. The agent needs to plan an efficient route to deliver food to the following four destinations: Nethaji Nagar, Gandhi Street, Nehru Street and Kamarajar Nagar. After completing the deliveries, the agent must return to their home to have his lunch. Given:  The locations of the food service center, the four destinations (Nethaji Nagar, Gandhi Street, Nehru Street, and Kamarajar Nagar), and the agent's home.  The distances between each pair of locations. Your task is to implement an algorithm that finds the optimal route for the food delivery agent. The algorithm should take into account the following constraints: 1. The agent must visit each of the four destinations exactly once. 2. The agent must start the route from the food service center. 3. After visiting all four destinations, the agent must return to their home. 4. The total distance travelled should be minimized. Use the following algorithms to solve the stated problem: 1. Iterative Deepening A*

Transcript

00:01 So, in this question, to solve this problem using a greedy algorithm, we can use the nearest neighbor approach.

00:10 So, we are using the nearest neighbor approach.

00:23 So here, at each step, we will select the nearest unvisited location from a current location until all locations have been visited.

00:32 So the return to the starting home, that will be done.

00:36 So, first we will see the greedy algorithm steps, which i will tell you step by step.

00:43 So, first we will see the greedy algorithm steps.

00:55 So in this case, we start from home, that is h.

01:00 So, we will start stepwise, naming it abc.

01:05 So, we will start from home h, that is h.

01:15 Then we find the nearest visited location that is there.

01:20 So we can say that we have to find the nearest location, that is the unvisited location.

01:39 And this we have to find from the current location.

01:44 So from current location, which is important.

01:50 So this is our second step.

01:51 Now, the third step would be to move to that nearest unvisited location.

01:59 So we have to move to this unvisited location.

02:13 So now, next step will be simply this thing, that we have to repeat the steps 2 and 3 until all the locations are visited.

02:23 So we just have to repeat the steps, that is b and c till all the locations that are there, that are visited.

02:42 So now, this is our crucial step, that is we have to return to home to complete the cycle.

02:51 So, this is important.

02:52 We have to return to home, that is h.

02:57 We have to return to home to complete the cycle.

03:01 So this is the greedy algorithm steps that are there.

03:07 Now we will see the number of comparisons in greedy algorithm.

03:13 So to calculate the number of comparisons, we need to find out how many comparisons we make at each step, while finding the nearest unvisited location that is there.

03:27 So considering there are n locations, we have to take an example for that, that considering n locations, that is in the given problem, that is given as 3 in the given problem.

03:45 So in the first step, we need to compare the distances to n -1 locations, that is 2 comparisons in this case.

03:55 So we will see it step by step, that we have to compare the distances.

04:03 So we have to compare the distances to n -1 location, that is 2 comparisons in this case.

04:23 Then secondly, we have to compare the distances to n -2 locations in this case...

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