@inproceedings{2fa0eacd372a4d929c31b18ddbea3c69,
title = "New bounds for variable-sized and resource augmented online bin packing",
abstract = "In the variable-sized online bin packing problem, one has to assign items to bins one by one. The bins are drawn from some fixed set of sizes, and the goal is to minimize the sum of the sizes of the bins used. We present new algorithms for this problem and show upper bounds for them which improve on the best previous upper bounds. We also show the first general lower bounds for this problem. The case where bins of two sizes, 1 and α ∈ (0, 1), are used is studied in detail. This investigation leads us to the discovery of several interesting fractal-like curves. Our techniques are also applicable to the closely related resource augmented online bin packing problem, where we have also obtained the first general lower bounds.",
author = "Leah Epstein and Steve Seiden and {Van Stee}, Rob",
year = "2002",
doi = "10.1007/3-540-45465-9_27",
language = "English",
isbn = "3540438645",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "306--317",
editor = "Peter Widmayer and Stephan Eidenbenz and Francisco Triguero and Rafael Morales and Ricardo Conejo and Matthew Hennessy",
booktitle = "Automata, Languages and Programming - 29th International Colloquium, ICALP 2002, Proceedings",
address = "Germany",
note = "29th International Colloquium on Automata, Languages, and Programming, ICALP 2002 ; Conference date: 08-07-2002 Through 13-07-2002",
}