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    Adaptive Disk Spindown via Optimal Rent-to-Buy in Probabilistic Environments

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    KLV95.learning.pdf (391.3Kb)
    Issue Date
    1999-01
    Author
    Krishnan, P.
    Long, Philip M.
    Vitter, Jeffrey Scott
    Publisher
    Springer Verlag
    Type
    Article
    Article Version
    Scholarly/refereed, author accepted manuscript
    Metadata
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    Abstract
    In the single rent-to-buy decision problem, without a priori knowledge of the amount of time a resource will be used we need to decide when to buy the resource, given that we can rent the resource for $1 per unit time or buy it once and for all for $c. In this paper we study algorithms that make a sequence of single rent-to-buy decisions, using the assumption that the resource use times are independently drawn from an unknown probability distribution. Our study of this rent- to-buy problem is motivated by important systems applications, speci cally, problems arising from deciding when to spindown disks to conserve energy in mobile computers [DKM, LKH, MDK], thread blocking decisions during lock acquisition in multiprocessor applications [KLM], and virtual circuit holding times in IP-over-ATM networks [KLP, SaK]. We develop a provably optimal and computationally e cient algorithm for the rent-to-buy problem. Our algorithm uses O(pt) time and space, and its expected cost for the tth resource use converges to optimal as O(plog t=t), for any bounded probability distribution on the resource use times. Alternatively, using O(1) time and space, the algorithm almost converges to optimal. We describe the experimental results for the application of our algorithm to one of the motivating systems problems: the question of when to spindown a disk to save power in a mobile computer. Simulations using disk access traces obtained from an HP workstation environment suggest that our algorithm yields signi cantly improved power/response time performance over the non-adaptive 2-competitive algorithm which is optimal in the worst-case competitive analysis model.
    Description
    The original publication is available at www.springerlink.com
    URI
    http://hdl.handle.net/1808/7198
    DOI
    https://doi.org/10.1007/PL00009249
    Collections
    • Distinguished Professors Scholarly Works [918]
    • Electrical Engineering and Computer Science Scholarly Works [302]
    • Provost Office Published Articles [95]
    Citation
    P. Krishnan, P. M. Long, and J. S. Vitter. “Adaptive Disk Spindown via Optimal Rent-to-Buy in Probabilistic Environments,” Algorithmica, 23(1), January 1999, 31–56. An extended abstract appears in “Learning to Make Rent-to-Buy Decisions in Probabilistic Environments with Systems Applications,” Proceedings of the 12th International Conference on Machine Learning (ML ’95), Tahoe City, CA, July 1995, 322–330. http://dx.doi.org/10.1007/PL00009249

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    Contact KU ScholarWorks
    785-864-8983
    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    785-864-8983

    KU Libraries
    1425 Jayhawk Blvd
    Lawrence, KS 66045
    Image Credits
     

     

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