Repetitive Nearest Neighbor Algorithm Concepts

Repetitive Nearest Neighbor Algorithm Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the repetitive nearest neighbor algorithm, a method used to solve the traveling salesman problem by running the nearest neighbor algorithm multiple times from different starting points. The tutorial demonstrates how different starting points can yield different solutions and emphasizes the importance of comparing results to find the optimal solution. Challenges of manual calculations are discussed, and the concept of circuit shifting is introduced to illustrate how solutions can be adjusted based on specific needs.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary concept behind the repetitive nearest neighbor algorithm?

Running the algorithm once from a single starting point

Running the algorithm in reverse order

Running the algorithm multiple times from different starting points

Using a random starting point each time

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we run the repetitive nearest neighbor algorithm multiple times?

To avoid errors in calculation

To compare costs from different starting points

To ensure all possible routes are explored

To find the shortest path

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When starting the algorithm from point B, what is the first step?

Go to point C

Go to point A

Go to point E

Go to point D

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key reason the nearest neighbor algorithm is not perfect?

It only works for small graphs

Different starting points can yield different solutions

It requires too much computation

It always gives the same result

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to return to the starting point in the algorithm?

To complete the circuit

To avoid repeating paths

To reduce the total cost

To ensure all points are visited

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the net weight when starting the algorithm from point A?

72

66

64

54

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of running the algorithm from point D?

A circuit of weight 54

A circuit of weight 64

A circuit of weight 72

A circuit of weight 66

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