Top-k pairs queries have received signi\ufb01cant attention by the research community. k-closest pairs queries, kfurthest pairs queries and their variants are among the most well studied special cases of the top-k pairs queries. In this paper, we present the \ufb01rst approach to answer a broad class of top-k pairs queries over sliding windows. Our framework handles multiple top-k pairs queries and each query is allowed to use a different scoring function, a different value of k and a different size of the sliding window. Although the number of possible pairs in the sliding window is quadratic to the number of objects N in the sliding window, we ef\ufb01ciently answer the top-k pairs query by maintaining a small subset of pairs called K-skyband which is expected to consist of O(K log(N\/K)) pairs. For all the queries that use the same scoring function, we need to maintain only one K-skyband. We present ef\ufb01cient techniques for the K-skyband maintenance and query answering. We conduct a detailed complexity analysis and show that the expected cost of our approach is reasonably close to the lower bound cost. We experimentally verify this by comparing our approach with a specially designed supreme algorithm that assumes the existence of an oracle and meets the lower bound cost.<\/p>\n","protected":false},"excerpt":{"rendered":"
Top-k pairs queries have received signi\ufb01cant attention by the research community. k-closest pairs queries, kfurthest pairs queries and their variants are among the most well studied special cases of the top-k pairs queries. In this paper, we present the \ufb01rst approach to answer a broad class of top-k pairs queries over sliding windows. 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