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Regular Polygon based Search Algorithm (RPSA) was developed for approximately processing aggregate queries on remote spatial databases. However, Precision regarding maximum queries is required to be more precise under comparison with that regarding sum queries. To this end, RPSA is revised by making it sensitive to farthest-point Voronoi regions with regard to a set of query points. Experimental results on the revised RPSA using synthetic and real datasets show that Precision regarding maximum k-Nearest Neighbor (k-ANN) queries ranges between 0.98 and 1.00. Also, Precision regarding maximum range queries ranges between 0.95 and 1.00. From these results, the revised RPSA successfully improve Precision of maximum queries which becomes nearly equal to Precision of sum queries.
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