Parallelizing the Computation of Grid Resistance to Measure the Strength of Skyline Tuples

Several indicators have been recently proposed for the measurement of various characteristics of the tuples of a dataset—particularly the so-called skyline tuples, i.e., those that are not dominated by other tuples. Numeric indicators are very important as they may, e.g., provide an additional criterion to be used to rank skyline tuples and focus on a subset thereof. We focus on an indicator of robustness that may be measured for any skyline tuple t: the grid resistance, i.e., how large-value perturbations can be tolerated for t to remain non-dominated (and thus in the skyline). The computation of this indicator typically involves one or more rounds of computation of the skyline itself or, at least, of dominance relationships. Building on recent advances in partitioning strategies allowing the parallel computation of skylines, we discuss how these strategies can be adapted to the computation of the indicator.