Vorträge

https://tuhh.zoom.us/j/87535538628?pwd=RTJ0ZGp0ZWc1NVk3RGp5NTBQYjhVdz09

Meeting ID: 875 3553 8628
Passcode: 750232

Production processes are usually investigated using models and methods from queueing theory (queue = line where people wait for goods or services). Control of warehouses and their optimization rely on models and methods from inventory theory. Both theories are fields of Operations Research, but they comprise quite different methodologies and techniques. In classical Operations Research these theories are considered as disjoint research areas. Today's emergence of complex supply chains (=production-inventory networks) calls for integrated production-inventory models, which are focus of my research. We have developed Markov process models for several production-inventory systems and derived the steady state distribution of the global system. For most of the production-inventory systems the obtained steady state is of product form. This enables us to analyse the long term average costs with the aim to find the optimal inventory size.
In my talk, I focus on a basic production-inventory model and present the essentials of the other models. Furthermore, I show the connection to the industrial project “Robotic Mobile fulfillment system”.

*title by Karsten Kruse

An overview about the master thesis will be given, treating numerical methods for solving a PDE-constrained optimization problem. Afterwards, an outlook on advanced numerical methods for PDEs and modelling of tsunamis will be presented.

Stein's method is a powerful technique to establish convergence in distribution of a sequence of random variables to a standard Gaussian random variable. After an introduction to this approach, its application to several problems from stochastic geometry is discussed.