PDF] Fully-Dynamic Bin Packing with Limited Repacking
Por um escritor misterioso
Last updated 26 abril 2025
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://d3i71xaburhd42.cloudfront.net/6528ee9361d612db6c821aa0303e80bf94a525d0/14-Table1-1.png)
This work presents optimal tradeoffs between number of bins used and number of items repacked, as well as natural extensions of the latter measure, motivated by cloud storage applications. We study the classic Bin Packing problem in a fully-dynamic setting, where new items can arrive and old items may depart. We want algorithms with low asymptotic competitive ratio \emph{while repacking items sparingly} between updates. Formally, each item $i$ has a \emph{movement cost} $c_i\geq 0$, and we want to use $\alpha \cdot OPT$ bins and incur a movement cost $\gamma\cdot c_i$, either in the worst case, or in an amortized sense, for $\alpha, \gamma$ as small as possible. We call $\gamma$ the \emph{recourse} of the algorithm. This is motivated by cloud storage applications, where fully-dynamic Bin Packing models the problem of data backup to minimize the number of disks used, as well as communication incurred in moving file backups between disks. Since the set of files changes over time, we could recompute a solution periodically from scratch, but this would give a high number of disk rewrites, incurring a high energy cost and possible wear and tear of the disks. In this work, we present optimal tradeoffs between number of bins used and number of items repacked, as well as natural extensions of the latter measure.
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://d3i71xaburhd42.cloudfront.net/6528ee9361d612db6c821aa0303e80bf94a525d0/14-Table2-1.png)
PDF] Fully-Dynamic Bin Packing with Limited Repacking
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://d3i71xaburhd42.cloudfront.net/6528ee9361d612db6c821aa0303e80bf94a525d0/20-Figure5-1.png)
PDF] Fully-Dynamic Bin Packing with Limited Repacking
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://d3i71xaburhd42.cloudfront.net/3ecc09ab3dcef975c11b1475048e9076a030d0d2/24-Figure9-1.png)
PDF] Fully dynamic bin packing revisited
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://drops.dagstuhl.de/storage/00lipics/lipics-vol219-stacs2022/thumbnails/LIPIcs.STACS.2022.28/LIPIcs.STACS.2022.28.png)
Cardinality Constrained Scheduling in Online Models
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://image.slidesharecdn.com/05f90091-e7ff-4485-afde-1d8c5c711a8e-150930121559-lva1-app6892/85/ortmann-2010-heuristics-for-offline-rectangular-packing-problems-1-320.jpg?cb=1671493054)
Ortmann [2010] Heuristics for Offline Rectangular Packing Problems
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://i1.rgstatic.net/ii/profile.image/273755901526021-1442279901502_Q64/Matthias-Feldotto.jpg)
Fully Dynamic Bin Packing Revisited
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://d3i71xaburhd42.cloudfront.net/6528ee9361d612db6c821aa0303e80bf94a525d0/6-Figure1-1.png)
PDF] Fully-Dynamic Bin Packing with Limited Repacking
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://dl.acm.org/cms/asset/088c1685-5b81-45ba-af14-52273640ec74/3607124.cover.jpg)
Learning Physically Realizable Skills for Online Packing of General 3D Shapes
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://pubsonline.informs.org/cms/10.1287/ijoo.2023.0002/asset/images/medium/ijoo.2023.0002f2.gif)
Temporal Bin Packing with Half-Capacity Jobs
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://www.degruyter.com/document/doi/10.1515/jisys-2020-0117/asset/graphic/j_jisys-2020-0117_fig_012.jpg)
Metaheuristic algorithms for one-dimensional bin-packing problems: A survey of recent advances and applications
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://content.iospress.com/media/ifs/2021/40-3/ifs-40-3-ifs201581/ifs-40-ifs201581-g007.jpg)
Solving fully dynamic bin packing problem for virtual machine allocation in the cloud environment by the futuristic greedy algorithm - IOS Press
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://scipbook.readthedocs.io/en/latest/_images/bpp-instance.png)
Bin packing and cutting stock problems — Mathematical Optimization: Solving Problems using Gurobi and Python
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2Fs10100-023-00858-0/MediaObjects/10100_2023_858_Fig1_HTML.png)
A hybrid estimation of distribution algorithm for the offline 2D variable-sized bin packing problem
![PDF] Fully-Dynamic Bin Packing with Limited Repacking](https://i1.rgstatic.net/ii/profile.image/11431281103461611-1669711527400_Q64/Moshe-Sipper.jpg)
Fully-Dynamic Bin Packing with Limited Repacking
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