Abstract: The invention is a method for allocating shroud or airseal segments among various positions in a turbomachinery case when the segments to be allocated differ in radial dimension or thickness and when the requirement for segment thickness varies around the circumference of the case. According to the inventive method, segment thicknesses are preliminarily assigned to positions on the case without regard for whether or not the thickness of each assigned segment satisfies the thickness requirement of its assigned position. Each thickness is then compared to the requirement of its assigned position and thicknesses that fail to satisfy the minimum thickness requirement of their assigned positions are consigned to a pool of noncompliant thickness values, thereby vacating zero or more positions Members of the pool are then systematically evaluated for suitability in the vacated positions.