Title
Traveling Salesman Problem: A Foveating Pyramid Model
Abstract
W e tested human performance on the Euclidean Traveling Salesman Problem using problems with 6-50 cities. Results confirmed our earlier findings that: (a) the time of solving a problem is proportional to the number of cities, and (b) the solution error grows very slowly with the number of cities. We formulated a new version of a pyramid model. The new model has an adaptive spatial structure, and it simulates visual acuity and visual attention. Specifically, the model solves the E-TSP problem sequentially by moving attention from city to city, the same way human subjects do. The model includes a parameter representing the magnitude of local search. This parameter allows modeling individual differences among the subjects. The computational complexity of the current implementation of the model is O(n(2)), but this can most likely be improved to O[nlog(n)]. Simulation experiments demonstrated psychological plausibility of the new model.
Year
DOI
Venue
2006
10.7771/1932-6246.1009
JOURNAL OF PROBLEM SOLVING
Keywords
Field
DocType
computational complexity,simulation experiment,human performance,local search,traveling salesman problem
Magnitude (mathematics),Algorithm,Travelling salesman problem,Artificial intelligence,Pyramid,2-opt,Local search (optimization),Spatial structure,Visual perception,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
1
1
1932-6246
Citations 
PageRank 
References 
20
1.84
5
Authors
6
Name
Order
Citations
PageRank
Zygmunt Pizlo115822.63
Emil Stefanov2108537.01
John Saalweachter3201.84
Zheng Li4201.84
Yll Haxhimusa523320.26
Walter G. Kropatsch6896152.91