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What and Who
Title:A ϕ-Competitive Algorithm for Scheduling Packets with Deadlines
Speaker:Pavel Vesely
coming from:University of Warwick
Speakers Bio:
Event Type:AG1 Mittagsseminar (own work)
Visibility:D1
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Level:AG Audience
Language:English
Date, Time and Location
Date:Thursday, 21 March 2019
Time:13:00
Duration:30 Minutes
Location:Saarbrücken
Building:E1 4
Room:024
Abstract
In the online packet scheduling problem with deadlines, the goal is to schedule transmissions of packets that arrive over time in a network switch and need to be sent across a link. Each packet has a deadline, representing its urgency, and a non-negative weight, that represents its priority. Only one packet can be transmitted in any time slot, so, if the system is overloaded, some packets will inevitably miss their deadlines and be dropped. In this scenario, the natural objective is to compute a transmission schedule that maximizes the total weight of packets which are successfully transmitted. The problem is inherently online, with the scheduling decisions made without the knowledge of future packet arrivals. The goal is to develop an algorithm with the lowest possible competitive ratio, which is the worst-case ratio between the optimum total weight of a schedule (computed by an offline algorithm) and the weight of a schedule computed by a (deterministic) online algorithm.

In this talk, we present a ϕ-competitive online algorithm (where ϕ≈1.618 is the golden ratio), matching the previously established lower bound. We then outline main ideas of its analysis and discuss possible extensions of this work.

Joint work with Marek Chrobak, Łukasz Jeż, and Jiří Sgall.

Contact
Name(s):Antonios Antoniadis
Video Broadcast
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Created:
Antonios Antoniadis, 02/21/2019 12:41 PM
Last modified:
Uwe Brahm/MPII/DE, 03/21/2019 04:01 AM
  • Antonios Antoniadis, 02/21/2019 12:41 PM -- Created document.