Access graphs, which have been used previously in connection with competitive
analysis and relative worst order analysis to model locality of reference in
paging, are considered in connection with relative interval analysis. The
algorithms LRU, FIFO, FWF, and FAR are compared using the path, star, and cycle
access graphs. In this model, some of the expected results are obtained.
However, although LRU is found to be strictly better than FIFO on paths, it has
worse performance on stars, cycles, and complete graphs, in this model. We
solve an open question from [Dorrigiv, Lopez-Ortiz, Munro, 2009], obtaining
tight bounds on the relationship between LRU and FIFO with relative interval
analysis.Comment: IMADA-preprint-c
