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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%2F24%3A10493438" target="_blank" >RIV/00216208:11320/24:10493438 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=BmEdgThbwo" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=BmEdgThbwo</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1145/3676887" target="_blank" >10.1145/3676887</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 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 - P ) upper bound for the competitive ratio of LQD for a constant epsilon&gt; 0 .

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • 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/GA22-22997S" target="_blank" >GA22-22997S: Efficient and Realistic Models in Computational Social Choice</a><br>

  • Continuities

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

Others

  • Publication year

    2024

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ACM Transactions on Algorithms

  • ISSN

    1549-6325

  • e-ISSN

    1549-6333

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    29

  • Pages from-to

    38

  • UT code for WoS article

    001356742900001

  • EID of the result in the Scopus database

    2-s2.0-85207064777