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Stochastic Optimization Models for Energy Systems

   School of Mathematics

   Applications accepted all year round  Funded PhD Project (Students Worldwide)

About the Project

Applications are invited for one full-time PhD position in the newly founded research group led by Bismark Singh within the Operational Research group at the University of Southampton. The position would be filled as soon as a suitable candidate is identified.

The proposed research topic includes both theoretical and applied components of operations research. Specifically of interest is chance-constrained programming.

We would like to study such optimization models motivated by the problem of designing reliable energy systems in the face of uncertainty. Uncertainty is reflected in either the price of electricity or the penetration level of renewable sources. Examples of such systems include microgrids and hybrid renewable-fossil fuel sourced systems. As nearly all countries seek to inch towards completion of renewable energy goals, the project has a practical relevance.

Such optimization models are typically challenging to solve; hence a major component of the project is to construct tailored solution approaches. The optimization techniques will be based on two-stage or multi-stage stochastic programming. As such, a strong interest in the theory of integer programming is required. There is considerable flexibility in terms of the choice of algorithmic approaches we develop and employ, and the candidate would work closely with the supervisor.

The objective of the research is to both design and solve mathematical models for the operational phases of such energy system models. Of further interest is the analysis and modelling of bidding and competition in energy markets.

For informal inquiries, please contact Bismark Singh directly. Two letters of motivation, directly sent to the supervisor, are required. A transcript of a master’s degree is also required. Excellent oral and written English skills are expected.


Bismark Singh, Mathematical Sciences, University of Southampton, Email ,

Skills required

  • Excellent background in mathematics, computer science, operations research, or similar topics. Very good understanding of discrete optimization, both in theory and computation, evidenced by strong grades in these subjects.
  • Strong programming skills with experience in at least one modelling language such as Pyomo, GAMS or Julia.
  • Personal qualifications that we see fit to this role are enthusiasm towards research, initiative, and a desire to work in an environment with other academic colleagues.


Until a suitable candidate is identified.

Start date

As soon as a suitable candidate is identified.

How to apply

Applications should be made only at

In the search field enter “mathematical sciences” and choose either “Integrated PhD

Mathematical Sciences (Full Time)” or “PhD Mathematical Sciences ( Full Time)”.

Host Institution

You will be based at the University of Southampton, a research intensive university and a founding member of the Russell Group of elite British universities. In 2017-18, Southampton has been ranked 5th in the UK for research grant income. Besides being recognised as one of the leading research universities in the UK, Southampton has also achieved consistently high scores for its teaching and learning activities. In the 2021 Research Excellence Framework, 100% of Mathematics research impact and research environment was specifically rated as of internationally excellent or world-leading quality. The broad range of Mathematical Sciences at Southampton gives Southampton a unique ability to contribute to the scientific and social challenges facing society.

Southampton has an excellent track record for optimisation. Statistics and Operational Research groups have existed within Mathematical Sciences since the 1960s. In the early 2000s, the broad multidisciplinary nature of Southampton activity in these areas was recognised through the establishment of the Centre of Operational Research, Management Sciences and Information Systems CORMSIS, which spans Mathematical Sciences and Southampton Business School. Operational Research at the University of Southampton is ranked 34th in the world, and top 10 in the UK, according to the latest QS World Rankings. You will be a member of CORMSIS for the duration of your PhD studies.

Funding Notes

1 fully funded PhD
The student will receive fees and stipend at the RCUK rate, as well as a research and training budget. For rates, see: View Website

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