The Coverage and Connectivity of Repeaters

The Coverage Model is constructed to meet the requirement that every point of the whole area is in the coverage of repeaters. The main algorithm is using small circles to cover the big circle with the rule that the distance between two circles' centers is not bigger than the radius of a repeater's coverage. To simplify the matter, we replace circles with particular regular hexagons, whose centers are locations to put repeaters. Using this model, we can work out the number of repeaters' locations.