Nearest Neighbor Tour

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Chapter 6: The Mathematics of Touring

https://www.math.upenn.edu/~rimmer/math170/notes/unit6part4.pdf

In absolute terms the nearest-neighbor tour is off by $97 (this is called the absolute error). A better way to describe how far “off” this tour is from the optimal tour is to use the concept of relative error. In this example the absolute error is $97 out of $676, giving a relative error of $97/$676 = 0.1434911 ≈ 14.35%.File Size: 1MB

Heuristic Algorithms: nearest neighbor and subtour ...

https://www.brainkart.com/article/Heuristic-Algorithms--nearest-neighbor-and-subtour-reversal-algorithms---Traveling-Salesperson-Problem-(TSP)_11247/

If you enter a city number, the nearest-neighbor heuristic is used to find a tour starting with the designated city. 2. If you enter the word "tour" (without the quotes), you must simultaneously provide an initial feasible tour in the designated space. In this case, only the reversal heuristic is applied to the tour …

Repetitive Nearest Neighbour Algorithm

http://www.people.vcu.edu/~gasmerom/MAT131/repnearest.html

Nearest Neighbor Circuit from E. It starts at E, then it heads to C, from C it goes to A, from A to D fromD to B and then finaly from B to E. Below the circuit is marked withthe boldfaceedges. Calculate the weight of this circuit. Thus, the best choice out of these five answers is the one that starts from Bor C.

2. Construction Heuristics

https://www-e.ovgu.de/mertens/TSP/node2.html

Though usually rather bad, nearest neighbor tours only contain a few severe mistakes, but at the same time contain long segments connecting nodes with short edges. Therefore, such tours can serve as good starting tours for improvement methods 3. 2.2 Insertion Heuristics

Math for Liberal Studies: Using the Nearest-Neighbor ...

https://www.youtube.com/watch?v=G8a8bJuQxnw

Jun 29, 2011 · In this video, we use the nearest-neighbor algorithm to find a Hamiltonian circuit for a given graph. For more info, visit the Math for Liberal Studies homep...Author: James Hamblin

What is the complexity of the following algorithm which is ...

https://stackoverflow.com/questions/22977748/what-is-the-complexity-of-the-following-algorithm-which-is-similar-to-the-neares

For each point, you have to find the nearest neighbor. (you get the first n) Computing the distance between two points get you a factor 1, because it runs in O(1). So, computing the distance between one point and all the other points gets you a factor O(n). In total you get O(n²). Sure, in step 3 you do not have to compute the distance to visited points, but this saves only a constant factor.

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