FIFO indexes for decomposable problems

This paper studies first-in-first-out (FIFO) indexes, each of which manages a dataset where objects are deleted in the same order as their insertions. We give a technique that converts a static data structure to a FIFO index for all decomposable problems, provided that the static structure can be constructed efficiently. We present FIFO access methods to solve several problems including half-plane search, nearest neighbor search, and extreme-point search. All of our structures consume linear space, and have optimal or near-optimal query cost.