Relative Interval Analysis of Paging Algorithms on Access Graphs
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, López-Ortiz, Munro, 2009], obtaining tight bounds on the relationship between LRU and FIFO with relative interval analysis.
KeywordsComplete Graph Competitive Ratio Online Algorithm Star Graph Competitive Analysis
Unable to display preview. Download preview PDF.
- 2.Angelopoulos, S., Dorrigiv, R., López-Ortiz, A.: On the separation and equivalence of paging strategies. In: SODA 2007, pp. 229–237 (2007)Google Scholar
- 3.Borodin, A., El-Yaniv, R.: Online Computation and Competitive Analysis. Cambridge University Press (1998)Google Scholar
- 5.Boyar, J., Favrholdt, L.M.: The relative worst order ratio for on-line algorithms. ACM Transactions on Algorithms 3(2), article No. 22 (2007)Google Scholar
- 8.Boyar, J., Gupta, S., Larsen, K.S.: Relative interval analysis of paging algorithms on access graphs, arXiv:1305.0669 (cs.DS) (2013)Google Scholar