PhD student in the field of "Mathematics to increase the resilience of production processes"

The Fraunhofer-Gesellschaft (www.fraunhofer.com) currently operates 76 institutes and research institutions throughout Germany and is the world’s leading applied research organization. Around 30 800 employees work with an annual research budget of 3.0 billion euros.

The Fraunhofer Institute for Industrial Mathematics ITWM is the world's largest institute for industrial mathematics and is one of the top employers in Germany. In the Optimisation department, we use multi-criteria optimisation methods to develop innovative solutions for the diverse challenges faced by our customers from a wide range of industries. The results of our research work are of direct benefit to industry and society. Examples of this include the optimised irradiation of tumours and the planning of ground-mounted photovoltaic systems.

The simulation of production processes can make a decisive contribution to increasing energy and resource efficiency. When using simulations in practice, it must be taken into account that influencing variables such as energy and raw material prices are subject to stochastic fluctuations. To protect against such fluctuations, additional storage and buffers must be created, which lead to increased investment and operating costs.
Model-based, interactive decision support tools can highlight the interdependencies between increased resilience and increased costs and lead to the most balanced compromises possible.

What you will do

As part of your doctorate, you can investigate the following questions:

How can uncertainties be quantified as reliably as possible?
How can multi-criteria optimisation be implemented to increase resilience while maintaining high cost efficiency?
Which models for resilience allow a high benefit in practice?
How can the sensitivity to individual unknown parameters be demonstrated?
How can helpful, interactive software tools be designed to support decision-making?

What you bring to the table

A scientific university degree in mathematics, computer science or physics
High level of abstraction and mathematical problem-solving skills
Enjoy applied mathematical optimisation and motivation to implement your models and algorithms in software
Ideally knowledge of mathematical modelling and numerical methods, for example from non-linear optimisation
Willingness and interest in familiarising yourself with new topics and concepts
Good German and English to communicate complex issues clearly

What you can expect

Work in small, agile project teams on innovative mathematical questions and wide-ranging design options
Insights into requirements and challenges from industrial practice while you research your doctoral topic free from project obligations
Support in acquiring domain knowledge and IT skills as part of your familiarisation phase
Comprehensive training programme on various mathematical methods and IT topics as well as soft skills
Opportunities to publish scientific papers and take part in conferences
Flexible working hours and support programmes for a good work-life balance

We value and promote the diversity of our employees' skills and therefore welcome all applications - regardless of age, gender, nationality, ethnic and social origin, religion, ideology, disability, sexual orientation and identity. Severely disabled persons are given preference in the event of equal suitability.

With its focus on developing key technologies that are vital for the future and enabling the commercial utilization of this work by business and industry, Fraunhofer plays a central role in the innovation process. As a pioneer and catalyst for groundbreaking developments and scientific excellence, Fraunhofer helps shape society now and in the future.

Interested? Apply online now. We look forward to getting to know you!

If you have any questions, please contact:

Dr. Michael Bortz: michael.bortz@itwm.fraunhofer.de

Fraunhofer Institute for Industrial Mathematics ITWM

www.itwm.fraunhofer.de

Requisition Number: 73365

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