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Symmetries in Integer Programming

Symmetries arise naturally in integer programs. Often, there is no reason to distinguish certain objects among others. For instance, the actual number that a certain bus...

Symmetries in Integer Programming
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GridChem

The aim of GridChem is to bring computational chemistry onto the Grid, and to contribute to the establishment of (de facto) standards in chemistry-related Grid computing...

GridChem
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Service Design in Public Transport

In this project we developed a novel theory of path connectivity that generalizes the Steiner tree problem to a hypergraph setting. Main results include a Menger...

Service Design in Public Transport
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Chip Design Verification with Constraint Integer Programming

In the design process of integrated circuits and other electronic hardware, a huge amount of time and resources is spent on the verification of the design and the final...

Chip Design Verification with Constraint Integer Programming
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Combinatorial Aspects of Logistics

Today's logistics shows two faces. On the one hand, there are areas which are almost completely dominated by manual planning (e.g., hospital logistics), while some of the...

Combinatorial Aspects of Logistics
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XtreemFS

XtreemFS is a distributed and replicated file system for cloud and grid infrastructures; clients and servers can be distributed worldwide. XtreemFS builds a reliable...

XtreemFS
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Counting Solutions in the Field of Verification

In the last years the formal verification technique "property checking" was used to prove the correctness of microchip designs. This technique checks all possible input...

Counting Solutions in the Field of Verification
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Solving special non-linear mixed-integer programs

Many problems in technical and commercial application areas cannot be formulated adequately as purely linear mixed-integer programs. Several processes and relations...

Solving special non-linear mixed-integer programs
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Digital Neuroanatomy, Data Visualization, and Modelling

This project continues the research started in Virtual NeuroLab. In this project we will establish a standardized pipeline for the creation of surface-based brain atlases...

Digital Neuroanatomy, Data Visualization, and Modelling
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Cost Sharing Problem

The cost sharing problem is a kind of game, in which the costs of an common infrastructure among different members of an organization or a cooperation is partitioned. The...

Cost Sharing Problem
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METRIK

Recent progress in basic research has lead to visions how to use new self-organizing networks for advanced information systems. These networks function without central...

METRIK
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MLTN - Multi-layer Transport Networks

The structure of fixed telecommunication networks currently undergoes significant changes. More and more applications/services (e-mail, video, fixed and mobile phone...

MLTN - Multi-layer Transport Networks
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ENT-Surgery under Consideration of Optimal Nasal Air Flow

Our objective is to analyze and understand the physiology and patho-physiology of normal nasal breathing. To this end, airflow simulations based on computational fluid...

ENT-Surgery under Consideration of Optimal Nasal Air Flow
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Processor Scheduling

In telecommunication systems different processes consisting of requests have to be served. Various scheduling disciplines are applied for overload control, prioritizing...

Processor Scheduling
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GNDMS

Community grid computing aims to provide researchers in a scientific field (i.e. climate research) with an integrated environment for efficient, and secure collaborative...

GNDMS
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Efficient Integrated Backbone

The BMBF-project Eibone focused on the investigation and development of fundamentals for an efficient, robust and reliable communication network, which should satisfy the...

Efficient Integrated Backbone
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Cycle and Path Polytopes with and without Length Restrictions

Cycle or path polytopes are the convex hulls of the incidence vectors of (directed) cycles or paths in graphs (digraphs), respectively. By admitting not all cardinalities...

Cycle and Path Polytopes with and without Length Restrictions
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Discrete Morse Functions

Discrete Morse theory was developed by Forman as a combinatorial analog to the classical smooth Morse theory. There are numerous applications to questions in...

Discrete Morse Functions
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Infeasible Linear Inequality Systems

Infeasible linear inequality systems arise in many different contexts. For instance, linear programs might turn out to be infeasible because of modeling errors or data...

Infeasible Linear Inequality Systems
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Robot dispatching in laser welding facilities

Laser welding has grown up to a key technology in modern car body manufacturing during the last 10 years. In one welding phase, a number of welding robots (usually 2-6)...

Robot dispatching in laser welding facilities