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Breaking the barrier of 2 for the competitiveness of longest queue drop

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10438025" target="_blank" >RIV/00216208:11320/21:10438025 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.4230/LIPIcs.ICALP.2021.17" target="_blank" >https://doi.org/10.4230/LIPIcs.ICALP.2021.17</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.4230/LIPIcs.ICALP.2021.17" target="_blank" >10.4230/LIPIcs.ICALP.2021.17</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Breaking the barrier of 2 for the competitiveness of longest queue drop

  • Original language description

    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 rejected. 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 the back of whichever queue is currently the longest, breaking ties arbitrarily. The LQD algorithm was first introduced in 1991, and is 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 1.707-competitive, establishing the first (2 - ELEMENT OF) upper bound for the competitive ratio of LQD, for a constant ELEMENT OF &gt; 0. (C) 2021 Antonios Antoniadis, Matthias Englert, Nicolaos Matsakis, and Pavel Veselý.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GX19-27871X" target="_blank" >GX19-27871X: Efficient approximation algorithms and circuit complexity</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    48th International Colloquium on Automata, Languages, and Programming (ICALP 2021)

  • ISBN

    978-3-95977-195-5

  • ISSN

    1868-8969

  • e-ISSN

  • Number of pages

    20

  • Pages from-to

  • Publisher name

    Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing

  • Place of publication

    Dagstuhl, Germany

  • Event location

    Virtual (Glasgow, Scotland)

  • Event date

    Jul 12, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article