Academic Journal
Breaking the Barrier of 2 for the Competitiveness of Longest Queue Drop
| Τίτλος: | Breaking the Barrier of 2 for the Competitiveness of Longest Queue Drop |
|---|---|
| Συγγραφείς: | Antonios Antoniadis, Matthias Englert, Nicolaos Matsakis, Pavel Veselý |
| Συνεισφορές: | Antonios Antoniadis and Matthias Englert and Nicolaos Matsakis and Pavel Veselý, Bansal, Nikhil, Merelli, Emanuela, Worrell, James |
| Πηγή: | ACM Transactions on Algorithms. 20:1-29 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | Association for Computing Machinery (ACM), 2024. |
| Έτος έκδοσης: | 2024 |
| Θεματικοί όροι: | FOS: Computer and information sciences, online algorithms, online scheduling, 0102 computer and information sciences, 02 engineering and technology, Theory of computation → Online algorithms, 01 natural sciences, QA76, Computer Science - Data Structures and Algorithms, 0202 electrical engineering, electronic engineering, information engineering, Data Structures and Algorithms (cs.DS), ddc:004, F.2.2, longest queue drop, buffer management |
| Περιγραφή: | We consider the problem of managing the buffer of a shared-memory switch that transmits packets of unit value. A shared-memory switch consists of an input port, a number of output ports, and a buffer with a specific capacity. In each time step, an arbitrary number of packets arrive at the input port, each packet designated for one output port. Each packet is added to the queue of the respective output port. If the total number of packets exceeds the capacity of the buffer, some packets have to be irrevocably evicted. At the end of each time step, each output port transmits a packet in its queue, and the goal is to maximize the number of transmitted packets. The Longest Queue Drop ( LQD ) online algorithm accepts any arriving packet to the buffer. However, if this results in the buffer exceeding its memory capacity, then LQD drops a packet from whichever queue is currently the longest, breaking ties arbitrarily. The LQD algorithm was first introduced in 1991, and has been known to be \(2\) -competitive since 2001. Although LQD remains the best known online algorithm for the problem and is of practical interest, determining its true competitiveness is a long-standing open problem. We show that LQD is 1.6918-competitive, establishing the first \((2-\varepsilon)\) upper bound for the competitive ratio of LQD for a constant \(\varepsilon{\,\gt\,}0\) . |
| Τύπος εγγράφου: | Article Conference object Other literature type |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| ISSN: | 1549-6333 1549-6325 |
| DOI: | 10.1145/3676887 |
| DOI: | 10.48550/arxiv.2012.03906 |
| DOI: | 10.4230/lipics.icalp.2021.17 |
| Σύνδεσμος πρόσβασης: | http://arxiv.org/abs/2012.03906 http://wrap.warwick.ac.uk/154061/1/WRAP-breaking-barrier-2-competitiveness-longest-queue-drop-Englert-2021.pdf https://research.utwente.nl/en/publications/39259b40-5ba5-487a-acd7-6302d453b99d https://doi.org/10.4230/LIPIcs.ICALP.2021.17 https://drops.dagstuhl.de/opus/volltexte/2021/14086/pdf/LIPIcs-ICALP-2021-17.pdf/ https://drops.dagstuhl.de/opus/volltexte/2021/14086/ https://dblp.uni-trier.de/db/journals/corr/corr2012.html#abs-2012-03906 https://arxiv.org/abs/2012.03906 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2021.17 |
| Rights: | arXiv Non-Exclusive Distribution CC BY URL: https://www.acm.org/publications/policies/copyright_policy#Background |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....b02ef2dab6a32a9ae33f54d23f81494e |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 15496333 15496325 |
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| DOI: | 10.1145/3676887 |