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Brief Announcement: Towards Fault-Tolerant Bin Packing for Online Cloud Resource Allocation

Published: 24 July 2017 Publication History

Abstract

We consider an online fault-tolerant bin packing problem that models the reliable resource allocation in cloud-based systems. In this problem, any feasible packing algorithm must satisfy an exclusion constraint and a space constraint. The exclusion constraint is generalized from the fault-tolerance requirement and the space constraint comes from the capacity planning. The target of bin packing is to minimize the number of bins used. We first derive a lower bound on the number of bins needed by any feasible packing algorithm. Then we study two heuristic algorithms mirroring and shifting. The mirroring algorithm has a low utilization of the bin capacity. Compared with the mirroring algorithm, the shifting algorithm requires fewer numbers of bins. However, in online packing, the process of opening bins by the shifting algorithm is not smooth. It turns out that even for packing a few items, the shifting algorithm needs to quickly open a large number of bins. We therefore propose a new heuristic algorithm named mixing which can gradually open new bins for incoming items. We prove that the mixing algorithm is feasible and show that it balances the number of bins used and the process of opening bins.

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Cited By

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  • (2021)On the Fault-Tolerant Online Bin Packing ProblemAlgorithmic Aspects of Cloud Computing10.1007/978-3-030-93043-1_1(1-17)Online publication date: 10-Dec-2021
  • (2020)On Fault-Tolerant Bin Packing for Online Resource AllocationIEEE Transactions on Parallel and Distributed Systems10.1109/TPDS.2019.294832731:4(817-829)Online publication date: 1-Apr-2020

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      cover image ACM Conferences
      SPAA '17: Proceedings of the 29th ACM Symposium on Parallelism in Algorithms and Architectures
      July 2017
      392 pages
      ISBN:9781450345934
      DOI:10.1145/3087556
      Permission to make digital or hard copies of part or all 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 third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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      Publication History

      Published: 24 July 2017

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      Author Tags

      1. bin packing
      2. fault-tolerance
      3. online algorithm

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      • This work is supported by Singapore Ministry of Education Academic Research Fund

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      SPAA '17 Paper Acceptance Rate 31 of 127 submissions, 24%;
      Overall Acceptance Rate 447 of 1,461 submissions, 31%

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      • (2021)On the Fault-Tolerant Online Bin Packing ProblemAlgorithmic Aspects of Cloud Computing10.1007/978-3-030-93043-1_1(1-17)Online publication date: 10-Dec-2021
      • (2020)On Fault-Tolerant Bin Packing for Online Resource AllocationIEEE Transactions on Parallel and Distributed Systems10.1109/TPDS.2019.294832731:4(817-829)Online publication date: 1-Apr-2020

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