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Competitive algorithms for on-line problems

Published: 01 January 1988 Publication History

Abstract

An on-line problem is one in which an algorithm must handle a sequence of requests, satisfying each request without knowledge of the future requests. Examples of on-line problems include scheduling the motion of elevators, finding routes in networks, allocating cache memory, and maintaining dynamic data structures. A competitive algorithm for an on-line problem has the property that its performance on any sequence of requests is within a constant factor of the performance of any other algorithm on the same sequence. This paper presents several general results concerning competitive algorithms, as well as results on specific on-line problems.

References

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Borodin, A., Linial, N., and Saks, M. An optimal online algorithm for metrical task systems. In Proceedings of the 19th A CM Symposium on Theot~y of Computing, pages 373-382, New York, 1987.
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Bentley, J. L. and McOcoch, C. C. Amortized analyses of serf-organizing sequential search heuristics. Communications of the ACM, 28(4):- 404--411, April 1985.
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Calderbank, A. R., Coffman, Jr., E. G., and Flatto, L. Sequencing problems in two-server systems. Mathematics of Operations Research, 10(4):585-598, November 1985.
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Calderbank, A. R., Coffman, Jr., E. G., and Flatto, L. Sequencing two servers on a sphere. Commun. Statist.-Stochastic Models, 1 (1): 17- 28, November 1985.
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Karlin, A. R., Manasse, M. S., Rudolph, L., and $1eator, D. D. Competitive Snoopy Caching. Computer Science Technical Report CMU-CS- 86-164, Carnegie Mellon University, 1986, (To appear in Algorithmica.
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McGeoch, L. A., Algorithms for Two Graph Problems. Phi) Thesis, Department of Computer Science, Carnegie Mellon University, 1987.
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    cover image ACM Conferences
    STOC '88: Proceedings of the twentieth annual ACM symposium on Theory of computing
    January 1988
    553 pages
    ISBN:0897912640
    DOI:10.1145/62212
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 01 January 1988

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    STOC88: 1988 Symposium on the Theory of Computing
    May 2 - 4, 1988
    Illinois, Chicago, USA

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    STOC '88 Paper Acceptance Rate 53 of 192 submissions, 28%;
    Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

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    • (2024)Competitive Channel-CapacityIEEE Transactions on Information Theory10.1109/TIT.2024.339414970:7(4585-4598)Online publication date: Jul-2024
    • (2023)No-regret Caching via Online Mirror DescentACM Transactions on Modeling and Performance Evaluation of Computing Systems10.1145/36052098:4(1-32)Online publication date: 11-Aug-2023
    • (2023)The Randomized 𝑘-Server Conjecture Is False!Proceedings of the 55th Annual ACM Symposium on Theory of Computing10.1145/3564246.3585132(581-594)Online publication date: 2-Jun-2023
    • (2023)Toward Online Mobile Facility Location on General MetricsTheory of Computing Systems10.1007/s00224-023-10145-967:6(1268-1306)Online publication date: 1-Dec-2023
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    • (2022)Online k-taxi via Double Coverage and time-reverse primal-dualMathematical Programming10.1007/s10107-022-01815-6197:2(499-527)Online publication date: 13-May-2022
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