TSP Path Length For Random Pointset in A Square
Suppose N points are randomly distributed in a 1 x 1 square with N>>1. Consider many such squares. Suppose we want to know the average of the shortest path length (i.e. TSP solution) of each square.
Read more about this topic: Travelling Salesman Problem
Famous quotes containing the words path, length, random and/or square:
“If a man can write a better book, preach a better sermon, or make a better mouse-trap, than his neighbor, though he build his house in the woods, the world will make a beaten path to his door.”
—Ralph Waldo Emerson (18031882)
“No doubt, the short distance to which you can see in the woods, and the general twilight, would at length react on the inhabitants, and make them savages. The lakes also reveal the mountains, and give ample scope and range to our thought.”
—Henry David Thoreau (18171862)
“Man always made, and still makes, grotesque blunders in selecting and measuring forces, taken at random from the heap, but he never made a mistake in the value he set on the whole, which he symbolized as unity and worshipped as God. To this day, his attitude towards it has never changed, though science can no longer give to force a name.”
—Henry Brooks Adams (18381918)
“Interpreting the dance: young women in white dancing in a ring can only be virgins; old women in black dancing in a ring can only be witches; but middle-aged women in colors, square dancing...?”
—Mason Cooley (b. 1927)