Research Article

Advancing Transportation Routing Decisions Using Riemannian Manifold Surfaces

Table 3

Notations.

Manifold surface
Origin on
Destination on
Predetermined neighborhood of that contains both and
Maximum distance from the origin, , to the boundary of
Radius of LCM circles
An initially chosen constant radius determined by the decision maker (s)
The geodesic identified with radius
The LCM circle that contains the geodesic
Number of LCM circles with radius that covers
A constant that is used to increment the radius of a LCM circle
Set of geodesics
Set of all vectors with each vector containing a geodesic, length of the geodesic, and the LCM circle that contains the geodesic
Set of linked list vectors formed by the geodesics