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TSP Word File

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0% found this document useful (0 votes)
23 views10 pages

TSP Word File

Uploaded by

Atiq Sajid
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Absolutely!

Here's your Travelling Salesman Problem (TSP) presentation


in simple, student-friendly language, ready for your slides:

🧳 Slide 1: Title Slide

Topic: Travelling Salesman Problem (TSP)


Presented by: [Your Name]
Subject: [Your Subject or Class Name]

🌍 Slide 2: What is TSP?

Imagine a salesman who needs to:

 Visit different cities

 Go to each city only once

 Return to the starting point

 Travel the shortest path possible

This is called the Travelling Salesman Problem.

🤔 Slide 3: Real Life Uses

TSP is useful in:

 Delivery routes (Amazon, Swiggy, etc.)

 Planning travel routes

 Designing computer chips

 Flight planning and GPS

📈 Slide 4: Why is TSP Hard?

If there are 5 cities, there are 60 different ways to visit them.


If there are 10 cities — over 180,000 possible routes!

🔁 Checking every route takes a lot of time for big numbers.


🧠 Slide 5: How Can We Solve TSP?

Some popular methods:

1. Brute Force – Try all paths (very slow)

2. Dynamic Programming – Smarter checking

3. Greedy Method – Pick nearest city (faster, but not perfect)

4. AI Algorithms – Genetic, Ant Colony, etc.

⚙️Slide 6: We Used Nearest Neighbor

This is a simple and fast method:

 Start at one city

 Go to the nearest unvisited city

 Repeat until all cities are visited

 Return to start

💻 Slide 7: Python Code Example

import math

cities = {

'A': (0, 0),

'B': (2, 3),

'C': (5, 2),

'D': (6, 6),

'E': (8, 3)

def distance(city1, city2):

x1, y1 = cities[city1]
x2, y2 = cities[city2]

return math.hypot(x2 - x1, y2 - y1)

def nearest_neighbor(start):

unvisited = set(cities.keys())

path = [start]

unvisited.remove(start)

total_dist = 0

current = start

while unvisited:

next_city = min(unvisited, key=lambda city: distance(current, city))

total_dist += distance(current, next_city)

path.append(next_city)

current = next_city

unvisited.remove(next_city)

total_dist += distance(current, start)

path.append(start)

return path, round(total_dist, 2)

path, total_distance = nearest_neighbor('A')

print("Path:", path)

print("Total distance:", total_distance)

📋 Slide 8: Output Example


🔍 Path:
['A', 'B', 'C', 'E', 'D', 'A']

📏 Total Distance:
23.64 units

📌 Slide 9: Conclusion

✅ TSP is a famous and useful problem


✅ It's hard to solve perfectly for large numbers
✅ We used a simple method called Nearest Neighbor
✅ It gave a good result with less effort

📢 Slide 10: Thank You!

Any Questions? 😊
Presented by: [Your Name]

Would you like me to turn this into a PowerPoint file (.pptx) or help you
make it in Google Slides?

Great question! If you're looking for alternatives to the word “Agenda” in a


PowerPoint (especially for a school or college presentation), here are some
friendly and professional options depending on your style:

✅ Simple & Clear Alternatives to "Agenda":

1. Topics Covered

2. What We’ll Learn

3. Presentation Overview

4. Today’s Plan

5. Contents

6. Outline

7. In This Presentation

8. Roadmap
9. Let’s Explore

10. What’s Coming Up

💡 Examples (How it looks on a slide):

Slide Title: "What We’ll Learn Today"

 What is the Travelling Salesman Problem (TSP)?

 Why is it important?

 Real-world uses

 How to solve it

 Python example

 Final thoughts

Would you like me to suggest a complete "Topics" slide for your TSP
presentation using one of these?

Slide 5: How Can We Solve TSP?

TSP is hard because there are so many ways to travel between cities. So
instead of checking all routes, we use smart methods to solve it faster.

Here are some of the popular ways:

1. Brute Force Method 🪓

 This means trying every possible route.

 It gives the correct answer, but is very slow if you have many cities.

Example: If you have 10 cities, you might have to check millions of routes.

2. Dynamic Programming (Held-Karp) 🧠

 This method remembers answers to smaller problems to save time.

 It’s faster than brute force, but still not very fast for big numbers.
3. Greedy or Nearest Neighbor ⚡

 Always go to the closest unvisited city.

 It’s fast and easy, but sometimes gives a route that’s not the best.

4. AI-Based Methods (like Genetic Algorithm, Ant Colony) 🤖

 These use ideas from nature and evolution to guess good paths.

 They are helpful for solving very large TSP problems.

🔍 Summary:

Method Speed Accuracy

Brute Force Very Slow 100% Correct

Dynamic 100% Correct (for small


Medium
Programming cities)

Greedy Fast Approximate

Fast (for big


AI Methods Approximate
problems)

Let me know if you'd like to add a small visual or table to the slide!

You said:

explain further

ChatGPT said:

Absolutely! Let me break it down even more, using simple everyday


examples to help you really understand what's happening on Slide 5:
How Can We Solve TSP?

🧠 Slide 5: How Can We Solve TSP? (In Detail)


Let’s imagine you’re the salesman, and you have a map with 5 cities. Your
goal is to visit every city once, then return to the city where you started —
and do it using the least distance or time.

Since checking every possible route takes forever when cities increase, we
use different smart methods. Here’s what each one does:

1. 🪓 Brute Force (Try Everything)

 Imagine writing down every single path you can take between cities.

 Then, you check which one has the shortest total distance.

 ✅ Gives the best answer

 ❌ But it's too slow if you have many cities — like doing hundreds of
calculations by hand!

🧠 Think of it like solving a maze by trying every single path.

2. 🧠 Dynamic Programming (Smarter Memory)

 This method tries to avoid doing the same work again and again.

 It remembers answers to small parts of the problem and reuses


them.

 ✅ Much faster than brute force

 ❌ Still can be slow for very big numbers (like 20+ cities)

🧠 Imagine you solved part of the path already — you don’t need to solve it
again. Save your answer and move on!

3. ⚡ Greedy (Nearest Neighbor)

 Start at a city, go to the closest one next, then the next closest, and
so on.

 It’s like using your eyes to say: “Oh, this city looks closest. I’ll go
there!”

 ✅ Very fast and easy to code


 ❌ May not give the best answer always

🧠 It’s like saying: “I’ll eat the nearest pizza, even if it’s not the best.”

4. 🤖 AI-Based Methods (Genetic Algorithms, Ant Colony, etc.)

 These are inspired by nature.

 For example:

o Genetic Algorithm = like evolution (the best paths “survive”)

o Ant Colony = ants leave “trails” on good paths

 ✅ Great for very big problems

 ❌ Can be a little random or tricky to understand

🧠 It’s like a group of ants exploring — the more they use a path, the better it
becomes!

🧾 Easy Table to Compare:

Perfect Easy to
Method Fast or Slow?
Answer? Understand?

Brute Force ❌ Very Slow ✅ Yes ✅ Yes

Dynamic ⚠️Medium
✅ Yes ⚠️Medium
Programming Speed

❌ Not Always
Nearest Neighbor ✅ Very Fast ✅ Yes
Best

✅ Fast (Big
AI Algorithms ❌ Approximate ❌ A Bit Complex
Data)

👓 Summary in One Line:

The smarter the method, the faster it works — but sometimes you have to
trade speed for accuracy.
Would you like me to add small examples or visuals to show each method in
the PowerPoint?

You said:

what we can write instead of agenda in powerpoint

ChatGPT said:

Great question! If you're looking for alternatives to the word “Agenda” in a


PowerPoint (especially for a school or college presentation), here are some
friendly and professional options depending on your style:

✅ Simple & Clear Alternatives to "Agenda":

1. Topics Covered

2. What We’ll Learn

3. Presentation Overview

4. Today’s Plan

5. Contents

6. Outline

7. In This Presentation

8. Roadmap

9. Let’s Explore

10. What’s Coming Up

💡 Examples (How it looks on a slide):

Slide Title: "What We’ll Learn Today"

 What is the Travelling Salesman Problem (TSP)?

 Why is it important?

 Real-world uses

 How to solve it

 Python example
 Final thoughts

Would you like me to suggest a complete "Topics" slide for your TSP
presentation using one of these?

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