Regularizations for Equilibrium Constraint Programming Problems.

We are recruiting new Doctoral Researchers to our EPSRC funded Doctoral Training Partnership (DTP) PhD studentships starting 1 October 2024. Applications are invited for the project title: Regularizations for Equilibrium Constraint Programming Problems.

Successful applicants will receive an annual stipend (bursary) of £21,237, including inner London weighting, plus payment of their full-time home tuition fees for a period of 42 months (3.5 years).

You should be eligible for home (UK) tuition fees there are a very limited number (no more than three) of studentships available to overseas applicants, including EU nationals, who meet the academic entry criteria including English Language proficiency.

You will join the internationally recognised researchers in the Department of Mathematics research and PhD programmes | Brunel University London

The Project

Optimization models arise in almost every area of human activities such as in transport, manufacturing and economic planning. Frequently, in an increasingly complicated world constraints of an optimization problem may involve variational inequalities and complementary conditions, and the underlying problem is called an equilibrium constrained problem or a mathematical program with equilibrium constraints (MPEC). MPEC models have received much attention due to their natural applications in practice. The study of MPEC problems is not only interesting but also challenging as MPEC problems are often nonconvex and violate almost known qualification conditions.

The aims of this project are to investigate regularity conditions and develop optimality criteria for a class of MPEC problems, and undertake selected applications using advanced modelling techniques.

Please contact Dr Chuong Thai Doan at chuong.thaidoan@brunel.ac.uk for an informal discussion about the studentships.

Eligibility

Applicants will have or be expected to receive a first or upper-second class honours degree in an Engineering, Computer Science, Design, Mathematics, Physics or a similar discipline. A Postgraduate Masters degree is not required but may be an advantage.

Skills and Experience

Applicants will be required to demonstrate the following skills:

• Solid backgrounds in variational analysis and convex analysis.
• Strong programming skills and experience in optimisation and operational research.

You should be highly motivated, able to work independently as well as in a team, collaborate with others and have good communication skills.

How to apply

There are two stages of the application:

1.Applicants must submit the pre-application form via the following link

https://brunel.onlinesurveys.ac.uk/epsrc-dtp-24-25-pre-application-form-brunel-university-lon

by 16.00 on Friday 5th April 2024.

2.If you are shortlisted for the interview, you will be asked to email the following documentation in a single PDF file to cedps-studentships@brunel.ac.uk within 72hrs.

• Your up-to-date CV;
• Your Undergraduate degree certificate(s) and transcript(s) essential;
• Your Postgraduate Masters degree certificate(s) and transcript(s) if applicable;
• Your valid English Language qualification of IELTS 6.5 overall (minimum 6.0 in each section) or equivalent, if applicable;
• Contact details for TWO referees, one of which can be an academic member of staff in the College.

Applicants should therefore ensure that they have all of this information in case they are shortlisted.

Interviews will take place in April/May 2024.