# Acknowledging crossing-avoidance heuristic violations when solving the Euclidean travelling salesperson problem

@article{Kyritsis2018AcknowledgingCH, title={Acknowledging crossing-avoidance heuristic violations when solving the Euclidean travelling salesperson problem}, author={Markos Kyritsis and Stephen R. Gulliver and Eva Feredoes}, journal={Psychological Research}, year={2018}, volume={82}, pages={997-1009} }

AbstractIf a salesperson aims to visit a number of cities only once before returning home, which route should they take to minimise the total distance/cost? This combinatorial optimization problem is called the travelling salesperson problem (TSP) and has a rapid growth in the number of possible solutions as the number of cities increases. Despite its complexity, when cities and routes are represented in 2D Euclidean space (ETSP), humans solve the problem with relative ease, by applying simple…

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## 4 Citations

Human behaviour in the Euclidean Travelling Salesperson Problem: Computational modelling of heuristics and figural effects

- Computer Science, MathematicsCognitive Systems Research
- 2018

Human processing based heuristics are developed, i.e. replacing the cost function within the nearest neighbour algorithm, to guide node selection, and results showed that the quotient relationship between node-to-node and node- to-centroid distances can be used to closely model average human performance, across a range of ETSP graphs.

Sense of direction and conscientiousness as predictors of performance in the Euclidean travelling salesman problem

- Mathematics, MedicineHeliyon
- 2017

This study provides evidence to suggest that human solutions to the ETSP are significantly affected by individual differences, including personality and cognitive traits, as well as a key metric of graph optimality.

Quotient algorithm: a simple heuristic for the travelling salesperson problem inspired by human solutions

- Computer Science
- 2018

This study presents a Quotient Algorithm (Quot) - a modification to the nearest neighbor algorithm - inspired by human path crossing avoidance behavior when solving ETSP graphs, and found that this simple modification outperforms the NN, as well as other existing heuristic approaches.

Quotient Algorithm: A Simple Human-Inspired Heuristic for Addressing the Travelling Salesperson Problem

- Computer Science2018 Fifth HCT Information Technology Trends (ITT)
- 2018

A Quotient Algorithm (Quot) is presented - a modification to the nearest neighbor algorithm-inspired by human path crossing avoidance behavior when solving graphs presented in 2D Euclidean space.

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