Improving Revenue by System Integration and Cooperative Optimization

1
(No Transcript)
2
Introduction

• Goals of SP3 Large Scale Optimization
• Long term
• new approximation theory, methodological
  framework and software implementations for
  large-scale optimization problems.
• Short term
• Identification of key problems, initial
  modellings, approximation algorithms for
  large-scale optimization problems.

Large-scale wired networks, network problems,
wireless networks

Algorithms

Implementations

Approximation theory

Documentation

3
Introduction

• Structure of SP3 Large Scale Optimization

WP 3.3 Foundations Of Wireless Networks

WP 3.1 Approximation Techniques for Large-Scale
Optimization

WP 3.2 Optimization Methods for Large-Scale
Communication and Transportation Networks and
the Web
WP 3.4 A Compendium of Large-Scale Optimization
Problems
4
Introduction

• Publications
• Total
• ??? conference / journal papers, ??? reports
  under submission
• Last 12 Month
• ??? conference / journal papers, ??? reports
  under submission

5
Introduction

• Deliverables due at month 24

D3.1.3 Establishment of Basic Methodological
Framework of Nonlinear Optimization
Approaches for Large-Scale Optimization Problems
D3.2.2 Initial Modeling of Selected Problems
for Communication/Transportation
Networks D3.3.3 Assessment of Developed
Algorithmic Techniques D3.4.3 Initial
Experimental Studies of Selected Problems
6
External Memory (Meyer Ajwani, MPII)

• main memory size ltlt problem size
• external memory D disks
• data is transferred in blocks of size B
• up to D B data per I/O operation
• Goal minimize number of I/O operations

scan(x) O( x / (D B) )
sort(x) O( x / (D B) logM/B (x/B) )
7
Breadth First Search (BFS)
8
Breadth First Search (BFS)
9
External BFS Motivation

• Solving real world optimization problem often
  boils down to structured graph traversal
• Crawling, analyzing the WWW
• Generalizations Shortest Paths, A
• Route planning using small navigation devices
  with flash memory cards
• State space exploration

10
External BFS Experimental Study
A computational study of three BFS-algorithms
from the literature D. Ajwani, R. Dementiev, U.
Meyer, SODA'05 (DELIS-TR-0276)
Internal-memory algorithm
Munagala, Ranade SODA'99
Mehlhorn, Meyer ESA'02
11
The End
Thank you!