Coding Challenge #35.1: Traveling Salesperson

In Part 1 of this multi-part coding challenge, I introduce the classic computer science problem of the Traveling Salesperson (TSP) and discuss the pitfalls with a brute force solution. In Part 2, I discuss Lexicographic Ordering and demonstrate one algorithm to iterate over all the permutations of an array. In Part 3, I apply this algorithm to a brute-force solution of the TSP problem. Every single route permutation is checked one by one. In Part 4, I attempt to create a solution to the TSP problem with a genetic algorithm, and then I add a “crossover” algorithm in Part 5. Code: https://thecodingtrain.com/challenges...

p5.js Web Editor Sketches:
🕹️ Part 1: Traveling Salesperson (TSP): https://editor.p5js.org/codingtrain/s...
🕹️ Part 2: Lexicographic Order: https://editor.p5js.org/codingtrain/s...
🕹️ Part 3: TSP with Lexicographic Order: https://editor.p5js.org/codingtrain/s...
🕹️ Part 4: TSP with Genetic Algorithm: https://editor.p5js.org/codingtrain/s...
🕹️ Part 5: TSP with Genetic Algorithm and Crossover: https://editor.p5js.org/codingtrain/s...

Other Parts of this Challenge:
📺 Part 2: Lexicographic Order:    • Coding Challenge #35.2: Lexicographic...  
📺 Part 3: TSP with Lexicographic Order:    • Coding Challenge #35.3: Traveling Sal...  
📺 Part 4: TSP with Genetic Algorithm:    • Coding Challenge #35.4: Traveling Sal...  
📺 Part 5: TSP with Genetic Algorithm and Crossover:    • Coding Challenge #35.5: TSP with Gene...  

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References:
🌐 Traveling Salesman on Wikipedia: https://en.wikipedia.org/wiki/Travell...
🗨️ Permutation Algorithm Using Lexicographic Ordering: https://www.quora.com/How-would-you-e...
📝 Array on MDN: https://developer.mozilla.org/en/docs...
📝 Array.includes() on MDN: https://developer.mozilla.org/en/docs...
📝 Array.reverse() on MDN: https://developer.mozilla.org/en/docs...
📝 ES6 Sets on MDN: https://developer.mozilla.org/en/docs...
💾 The Nature of Code Part 2: https://github.com/shiffman/NOC-S17-2...
📕 The Nature of Code: http://natureofcode.com/

Videos:
🎥 Improved Pool Selection:    • 9.8: Weighted Selection (for Genetic ...  
🎥 Genetic Algorithm Playlist:    • 9: Genetic Algorithms - The Nature of...  
🔴 Live Stream Archive #57:    • Live Stream #57 - Traveling Salesperson  

Related Coding Challenges:
🚂 #29 Smart Rockets in p5.js:    • Coding Challenge #29: Smart Rockets i...  
🚂 #51 A* Pathfinding Algorithm:    • A* Pathfinding Algorithm (Coding Chal...  
🚂 #69 Evolutionary Steering Behaviors:    • Coding Challenge #69: Evolutionary St...  
🚂 #70 Nearest Neighbors Recommendation Engine:    • Coding Challenge #70: Nearest Neighbo...  

Timestamps:
00:00 Welcome to this coding challenge!
00:50 What is the Traveling Salesperson problem?
04:50 Code! Placing random cities on the canvas
07:30 Go through the cities in order
08:13 Shuffling the array with swaps
11:35 Computing the distance and saving the shortest one
15:20 Oups! Fixing an array index error
17:00 How to make a copy of an array?
19:43 Storing a copy of the best cities path ever
20:24 Drawing the best cities path ever
21:00 The limits of this brute force algorithm

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

🚂 Website: http://thecodingtrain.com/
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🎥 Coding Challenges:    • Coding Challenges  
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🔗 p5.js: https://p5js.org
🔗 p5.js Web Editor: https://editor.p5js.org/
🔗 Processing: https://processing.org

📄 Code of Conduct: https://github.com/CodingTrain/Code-o...

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#travelingsalesperson #permutation #lexicographicordering #natureofcode #geneticalgorithm #evolution #bruteforce #factorial #arrays #p5js