In the screening of cytological samples, st slide is examined using a micro
scope. Since the area of the specimen is very large compared with the area
of a microscope field of view (FOV), a large number of FOVs is needed to co
ver the entire specimen area. A heuristic reducing the number of FOVs has b
een developed to aid in screening these specimens on the automated microsco
py workstation. A smear slide is prescreened on a computer-aided optimal mi
croscope system and locations of diagnostically significant material are st
ored. The heuristic computes a set of FOVs that covers this material and a
route between them. As the problem is of large scale and must be solved rep
eatedly in real time any heuristic must be very fast. Our heuristic solves
a set partitioning problem, followed by a traveling salesman problem. It pr
oduces a good solution within a very short computing time.