Disclosed herein is a method. The method includes identifying a first location on a first part to place a first shim tab to form a first portion of a compound shim. The method also includes applying the first shim tab to the first location on the first part with an end-effector. The method also includes identifying a second location directly adjacent to the first location on the first part to place a second shim tab. The method also includes applying the second shim tab to the second location on the first part with the end-effector to form a second portion of the compound shim. The method also includes applying a third shim tab to the second shim tab at the second location to increase a thickness of the second portion of the compound shim.