Kiel Nano, Surface and Interface Science (KiNSIS)

Kolloquiumsvortrag: Dr. Lin Chen

09.05.2014 von 14:15 bis 15:30

Kiel, Ludewig-Meyn-Str. 2, Übungsraum 2

Titel: "On the optimality of approximation schemes for the classical scheduling problem"
 
Abstract:
We consider the classical scheduling problem on parallel identical machines to minimize the makespan, and achieve the following results under the Exponential Time Hypothesis (ETH).

The scheduling problem on a constant number m of identical machines, denoted as Pm||Cmax , is known to admit an FPTAS of running time O(n)+(1/ϵ)O(m) . We prove it is essentially the best possible in the sense that a (1/ϵ)O(m1−δ)+nO(1) time FPTAS for any δ>0 implies that ETH fails.
The scheduling problem on an arbitrary number of identical machines, denoted as P||Cmax , is known to admit a PTAS of running time 2O(1/ϵ2log3(1/ϵ))+nO(1) . We prove it is nearly optimal in the sense that a 2O((1/ϵ)1−δ)+nO(1) time PTAS for any δ>0 implies that ETH fails.

We also obain lower bounds of exact algorithms for the scheduling problem that almost matches upper bounds.
This is joint work with K. Jansen and G. Zhang.

http://www.tf.uni-kiel.de/de/das-dekanat/aktuelles-termine/kolloquien/kolloquien-ss-2014/

Claudia Martin, 0431/880-6068

Diesen Termin meinem iCal-Kalender hinzufügen

zurück

Aktuelle Pressemitteilungen

Medien

Veranstaltungen

Kalender

« Juli 2017 »
Mo Di Mi Do Fr Sa So
26 27 28 29 30
  • 15:00: Sommerfest Technische Fakultät, Verleihung KiNSIS-Promotionspreis
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
1 2
3 4
  • 16:15: Eberhard Möbius (New Hampshire): Astronomy with Neutral Atoms
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
5 6 7
  • 14:15: Learning Sparse Binary Features for Medical Image Segmentation of the Abdomen (Heinrich, Lübeck)
  • 14:15: Approximating Geometric Knapsack via L-packings (Grandoni, Lugano)
  • Klicken Sie, um Details zu allen 2 Terminen zu sehen.
8 9
10
  • 17:15: Magnetic particel imaging (Prof. Dr. Horst Weller, Uni Hamburg)
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
11
  • 16:15: Erwin O. Flückiger: 60 Jahre Neutronenmonitor
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
12 13
  • 17:00: Self-Assembled Molecular Vessels (Prof. Mukherjee, India)
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
14
  • 14:15: Prof. Victor Verdugo (Paris)
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
15 16
17 18
  • 11:00: Generalized Convolution Quadrature (Prof. Fernández, Zürich)
  • 15:00: Abschiedskolloquium von Prof. Piel
  • Klicken Sie, um Details zu allen 2 Terminen zu sehen.
19
  • 18:00: Parlamentarischer Abend: "Nanotechnologie in Schleswig-Holstein: Wissenschaft, Wirtschaft, Zukunft" (NINa e.V.)
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
20 21
  • 14:15: A Family of Crouzeix-Raviart Non-Conforming Finite Elements in Two- and Three Spatial Dimensions (Prof. Sauter, Zürich)
  • Klicken Sie, um Details zu allen 1 Terminen zu sehen.
22 23
24 25 26 27 28 29 30
31 1 2 3 4 5 6