System and method for improving efficiency of containment determination processing

A method for calculating whether an actual location of a target device is on one side of a boundary zone, the method comprising:

• receiving an estimated location of the target device;
• receiving a desired confidence level;
• forming a first circle with radius D, centered at the estimated location, where D is the shortest distance from the estimated location to the boundary zone;
• forming a second circle with radius R′, centered at the estimated location, wherein R′ is determined in such a way so that a likelihood that the actual location is inside the second circle equals or exceeds the desired confidence level;
• forming an angle with an apex at the estimated location and rays passing through two closest points to the estimated location where the second circle intersects the boundary zone;
• and
• using a size of an annulus formed by the first circle, the second circle, and the rays to estimate whether the actual location lies on the same side of the boundary zone as the estimated location, wherein the method is performed by one or more processors.