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  A guessing game and randomized online algorithms (2000) [11 citations — 0 self]

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by Steven S. Seiden
Proceedings of the thirty-second annual ACM symposium on theory of computing (STOC), 2000
http://bit.csc.lsu.edu/~seiden/guess.ps.Z
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Abstract:

We present the rst general framework for proving lower bounds for randomized online algorithms using the von Neumann/Yao principle. This framework encompasses and explains many existent lower bound results, and allows us to prove several new ones. The foremost of the new results is a lower bound of 1.58197 for the online TCP acknowledgment problem of Dooly, Goldman and Scott [11]. Other new results include: a lower bound of 1.34880 for randomized online two-machine ow shop scheduling, a lower bound of 1.15775 for randomized online total completion time scheduling on parallel machines and a lower bound of 1.06532 for scheduling with machine cost. Out method provides a sort of `Master theorem ' for proving randomized lower bounds. 1

Citations

180 Competitive snoopy caching – Karlin, Manasse, et al. - 1988
165 An optimal online algorithm for metrical task system – Borodin, Linial, et al. - 1992
127 On the power of randomization in on-line algorithms – Ben-David, Borodin, et al. - 1994
91 Competitive randomized algorithms for nonuniform problems – Karlin, Manasse, et al. - 1994
81 Amortized eciency of list update and paging rules – Sleator, E - 1985
71 Approximation techniques for average completion time scheduling – Chekuri, Motwani, et al. - 1997
58 Competitive Algorithms for Replication and Migration Problems – Black, Sleator - 1989
37 A polylog(n)-competitive algorithm for metrical task systems – Bartal, Blum, et al. - 1997
22 New on-line algorithms for the page replication problem – Albers, Koga
20 On-line machine scheduling – Vestjens - 1997
15 Unfair problems and randomized algorithms for metrical task systems – Seiden - 1999
13 TCP dynamic acknowledgement delay: Theory and practice – Dooly, Goldman, et al.
10 On randomization in online computation – Borodin, El-Yaniv - 1997
7 On The Bahncard Problem – Fleischer - 1998
6 Scheduling on identical machines: How good is LPT in an on-line setting – Chen, Vestjens - 1997
6 Randomized on-line scheduling: How low can't you go – Stougie, Vestjens - 1997
3 Scheduling two machines with release times – Noga, Seiden - 1999
2 replication—Variations on a theme – Fleischer, Seiden - 1999
2 Scheduling with Machine Cost – Imreh, Noga - 1999
2 Randomized online scheduling with delivery times – Seiden - 1999