Paging with connections: FIFO strikes again

We continue the study of the integrated document and connection caching problem. We focus on the case where the connection cache has a size of one and show that this problem is not equivalent to standard paging, even if there are only two locations for the pages, by giving the first lower bound that is strictly higher than k for this problem. We then give the first upper bound below the trivial value of 2k for this problem. Our upper bound is [email protected]? where @? is the number of locations where the requested pages in a phase come from. This algorithm groups pages by location. In each phase, it evicts all pages from one location before moving on to the next location. In contrast, we show that the lru algorithm is not better than 2k-competitive. We also examine the resource augmented model and show that the plain fifo algorithm is optimal for the case h=2 and all k>=2, where h is the size of the offline document cache. We show that also in this case fifo is better than lru, although this is not true for standard paging.

[1]  Susanne Albers,et al.  A Study of Integrated Document and Connection Caching , 2003, ICALP.

[2]  Leah Epstein,et al.  More on Weighted Servers or FIFO is Better than LRU , 2002, MFCS.

[3]  Sandy Irani,et al.  Cost-Aware WWW Proxy Caching Algorithms , 1997, USENIX Symposium on Internet Technologies and Systems.

[4]  Marek Chrobak,et al.  LRU Is Better than FIFO , 1999, SODA '98.

[5]  Sandy Irani,et al.  Page Replacement with Multi-Size Pages and Applications to Web Caching , 2002, Algorithmica.

[6]  Edith Cohen,et al.  Connection caching under various models of communication , 2000, SPAA '00.

[7]  Susanne Albers,et al.  A Study of Integrated Document and Connection Caching in the WWW , 2007, Algorithmica.

[8]  Neal E. Young,et al.  On-Line File Caching , 2002, SODA '98.

[9]  Amos Fiat,et al.  Competitive Paging Algorithms , 1991, J. Algorithms.

[10]  Robert E. Tarjan,et al.  Amortized efficiency of list update and paging rules , 1985, CACM.

[11]  Marek Chrobak,et al.  Competitive analysis of randomized paging algorithms , 2000, Theor. Comput. Sci..

[12]  G. Glauberman Proof of Theorem A , 1977 .

[13]  Edith Cohen,et al.  Connection caching , 1999, STOC '99.

[14]  Lyle A. McGeoch,et al.  A strongly competitive randomized paging algorithm , 1991, Algorithmica.

[15]  Anna R. Karlin,et al.  Competitive snoopy caching , 1986, 27th Annual Symposium on Foundations of Computer Science (sfcs 1986).