Download Algorithms and Computation: 11th International Conference, by Jean-Daniel Boissonnat (auth.), Gerhard Goos, Juris PDF

By Jean-Daniel Boissonnat (auth.), Gerhard Goos, Juris Hartmanis, Jan van Leeuwen, D. T. Lee, Shang-Hua Teng (eds.)

ISBN-10: 3540409963

ISBN-13: 9783540409960

ISBN-10: 3540412557

ISBN-13: 9783540412557

The papers during this quantity have been chosen for presentation on the 11th Annual foreign Symposium on Algorithms and Computation (ISAAC 2000), hung on 18{20 December, 2000 on the Institute of knowledge technological know-how, Academia Sinica, Taipei, Taiwan. past conferences have been held in Tokyo (1990), Taipei (1991), Nagoya (1992), Hong Kong (1993), Beijing (1994), Cairns (1995), Osaka (1996), Singapore (1997), Taejon (1998), and Chennai (1999). Submissions to the convention this yr have been carried out totally electro- cally. due to the wonderful software program constructed by means of the Institute of knowledge technological know-how, Academia Sinica, we have been capable of perform almost all conversation through the area extensive internet. in keeping with the decision for papers, a complete of 87 prolonged abstracts have been submitted from 25 nations. every one submitted paper used to be dealt with by means of at the very least 3 software committee contributors, with the help of a few exterior reviewers, as indicated via the referee record present in the court cases. there have been many extra appropriate papers than there has been area on hand within the symposium application, which made this system committee’s job tremendous di cult. ultimately forty six papers have been chosen for presentation on the Symposium. as well as those contributed papers, the convention additionally integrated invited displays by way of Dr. Jean-Daniel Boissonnat, INRIA Sophia-Antipolis, France and Professor Jin-Yi Cai, college of Wisconsin at Madison, Wisconsin, united states. it truly is anticipated that almost all of the authorized papers will look in a extra entire shape in scienti c journals.

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Extra resources for Algorithms and Computation: 11th International Conference, ISAAC 2000 Taipei, Taiwan, December 18–20, 2000 Proceedings

Sample text

Time runs from left to right, and slot number from top to bottom. Cache hits are represented by ; cache misses are represented by . The request sequence req(S, Z) = 1, 2, 3, 4, 2, 1, 7, 1, 3, 7 for the strategy is illustrated for a miss by the value in the corresponding circle and for a hit by the value in the miss circle at the start of the chain. – If zj = 1, there are two cases: • If sj = si , then rj = Ti [si ], because each location stays in one cache slot only. • If sj = si , then prev(S, j) ≥ i.

Let us = {t ∈ {1, . . , n} | st = s, zt = 1} be the number of inherent hits and vs = {t ∈ {1, . . , n} | st = s, zt = 0} be the numh ber of inherent misses for each slot s ∈ slots(S). Let U = s=1 us be the total h number of inherent hits and V = s=1 vs be the total number of inherent misses. Then, we have h E [hit(RANDk , R)] ≥ us (1 − 1/k)(U +V −us −vs )/us . (3) s=1 We now derive a lower bound for the right-hand side of (3) under the conh h straints s=1 us = U and s=1 vs = V . Lemma 6. Let h ≥ 1 be an integer and γ ∈ (0, 1) be a real number, For any real h numbers u1 , u2 , .

The upper bound for our new analysis is labeled “RAND(new),” and as can be seen from the figure, is the first bound that applies across the entire range of inherent miss rates. 0 Fig. 3. Upper bounds on the miss rate for various on-line algorithms as a function of inherent miss rate. The upper bound of MARKING is adapted from the analysis of Fiat et al. [11]. The new bounds are stronger for inherent miss rates of between 21% and 100%. Randomized Algorithms. Competitive analysis for randomized algorithms generally assumes (as shall we) that the adversary is oblivious [22], meaning that the adversary generates a request sequence given only the description of the on-line algorithm, but not the random choices made by during the execution of the algorithm.

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