Optimal allocation of two-dimensional data (Extended abstract)

Efficient browsing and retrieval of geographically referenced information requires the allocation of data on different storage devices for concurrent retrieval. By dividing a two dimensional space into tiles, a system can allow users to specify regions of interest using a query rectangle and then retrieving all information related to tiles overlapping with the query. In this paper, we derive the necessary and sufficient conditions for strictly optimal allocations of two-dimensional data. These methods, when they exist, guarantee that for any query, the minimum number of tiles are assigned the same storage device, and hence ensures maximal retrieval concurrency.