Research Article

Advancing Transportation Routing Decisions Using Riemannian Manifold Surfaces

Algorithm 1

Geodesic search pseudocode.
Input: (a) coordinates of , , and ; (b) GIS map of the roads within on .
Run: (a) ; (b) , where  = initial radius; (c) .
(1)for to do
(2)  Cover with -linked circles with radius by tracking all possible roads between and
(3)  for to do
(4)   Assign to be the geodesic covered for radius
(5)   Assign to be the circle that covers
(6)   ifthen
(7)    
(8)   else
(9)    
(10)   end if
(11)  end for
(12)end for