Top-k pairs and top-k objects queries have received
significant attention by the research community. In this paper, we present the
first approach to answer a broad class of top-k pairs and top-k objects queries
over sliding windows. Our framework handles multiple top-k 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. Furthermore, the framework allows
the users to define arbitrarily complex scoring functions and supports
out-of-order data streams. For all the queries that use the same scoring
function, we need to maintain only one K-skyband. We present efficient
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. For top-k pairs queries, we demonstrate
the efficiency of our approach by comparing it with a specially designed
supreme algorithm that assumes the existence of an oracle and meets the lower
bound cost. For top-k objects queries, our experimental results demonstrate the
superiority of our algorithm over the state-of-the-art algorithm.
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