Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies
DOI: 10.1109/infcom.2002.1019285
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Packet scheduling with fragmentation

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Cited by 21 publications
(10 citation statements)
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“…Menakerman and Rom [20] and Naaman and Rom [24] were the first to develop algorithms for bin packing with item fragmentation, however, the problems studies in [20] and [24] are different from our problems. For a version of BP-SPF in which the number of bins, N , is given, and the objective is to minimize the total cost incurred by fragmentation, the paper [20] studies the performance of simple algorithms such as First-Fit, Next-Fit, and First-Fit-Decreasing, and shows that for any instance which can be packed in N bins using f * splits of items, each of these algorithms might end up using f * + N − 1 splits.…”
Section: Fernandez De La Vega and Luekermentioning
confidence: 88%
See 1 more Smart Citation
“…Menakerman and Rom [20] and Naaman and Rom [24] were the first to develop algorithms for bin packing with item fragmentation, however, the problems studies in [20] and [24] are different from our problems. For a version of BP-SPF in which the number of bins, N , is given, and the objective is to minimize the total cost incurred by fragmentation, the paper [20] studies the performance of simple algorithms such as First-Fit, Next-Fit, and First-Fit-Decreasing, and shows that for any instance which can be packed in N bins using f * splits of items, each of these algorithms might end up using f * + N − 1 splits.…”
Section: Fernandez De La Vega and Luekermentioning
confidence: 88%
“…This thesis focused on the offline version of the problems. Menakerman and Rom [20] and Naaman and Rom [24] gave analysis of simple online algorithms. It would be interesting to improve the CHAPTER 8.…”
Section: Future Workmentioning
confidence: 99%
“…If this hypothesis is satisfied, we propose a variant of NF, Next Fit with Cuts (NFC) as an algorithmic solution. A similar approach was used for another purpose under the name of NF f in [10], [11]. First, the capacities of bin classes are sorted in decreasing order.…”
Section: A Next Fit With Cuts (Nfc) For the Auxiliary Problemmentioning
confidence: 99%
“…The main difference between our work and this body of research (using GAP terminology) is that we study the benefits of, as well as algorithms for, exploiting the ability to satisfy the packing requirement of every job by splitting this requirement among several machines. Several works [20], [21] considered splittable-assignment of objects to bins, with added overhead (depending on the specific model). Our model allows for such splittable-assignment but incurs no overheads, thus making it generally applicable.…”
Section: Related Workmentioning
confidence: 99%