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Optimization and Operational Research, Ph.D.

  • Application Deadline
  • 36 months
    Duration
University rank #20 (QS) Edinburgh, United Kingdom
The work in the Optimization and Operational Research group at The University of Edinburgh is in three main areas: the mathematical and computing aspects of optimization, combinatorial optimization, and energy systems.
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Overview

The core technology in optimization is the solution of large sparse linear and quadratic problems, and we provide world-class expertise in the two main solution methods for these: the simplex method and the interior point method. In combinatorial optimization, we provide expertise for modelling real-world problems using integer linear programming formulations and for deriving efficient exact and heuristic algorithms to solve them.

Specialist expertise in energy includes optimization of system planning and optimization, security of supply risk analysis, and decision support for public policy. We also have interests in PDE-constrained optimization, global optimization, decomposition methods, parallel computing, industrial applications of optimization and stochastic optimization.

Training and support

Being part of the Optimization and Operational Research group at The University of Edinburgh will give you the opportunity to meet and confer with academics worldwide. You will be a member of the Edinburgh Research Group in Optimization (ERGO) which, through its regular seminar series, attracts local and international researchers interested in the development of operational research and optimization. 

As a group, we are currently collaborating with researchers in Denmark, the Netherlands, Canada, USA, Italy, Norway, China, France, Spain, Germany and Turkey, and are invited to give addresses and organise workshops at major optimization, OR and energy conferences.

Detailed Programme Facts

  • Programme intensity

    You can choose to do this programme part-time or full-time.

    Full-time
    • Full-time duration 36 months
    Part-time
    • Average part-time duration 72 months
  • Languages
    • English
  • Delivery mode
    On Campus

Programme Structure

Specific topics which could yield PhD projects include

  • Algorithms for linear and nonlinear nonconvex smooth optimization problems.
  • Optimization methods for linear, integer linear, quadratic and nonlinear programming.
  • Decomposition methods for large-scale nonlinear nonconvex constrained optimization.
  • Bundle methods.
  • Warm starts for interior point methods.
  • Pooling problems.
  • Applications of optimization in logistics.
  • Parameter uncertainty in queueing theory and revenue management.
  • Facility location and vehicle routing.

English Language Requirements

  • Minimum required score:

    6.5

    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

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  • Minimum required score:

    92

    The TOEFL iBT ® measures your English-language abilities in an academic setting. The test has four sections (reading, listening, speaking, and writing), each with a score range of 0-30, for a total score range of 0-120. Read more about TOEFL iBT ®.

    Schedule TOEFL®

Academic Requirements

You need the following GPA score:

Required score: Upper Second Class

Applicants for graduate programs must have the equivalent of a bachelor’s degree with a minimum GPA equivalent to Upper Second Class on the UK Honour scale. Admitted applicants typically have an undergraduate GPA of or better on the UK Honour scale. No exam grade should be lower than 4.5 (European grade scale) or D (American grade scale).

Your GPA (Grade Point Average) is calculated using the grades that you received in each course, and is determined by the points assigned to each grade (e.g. for the US grading scale from A-F).

General Requirements

  • A UK first class honours degree, or its international equivalent, in an appropriate subject; or a UK 2:1 honours degree plus a UK masters degree, or their international equivalents; or relevant qualifications and experience.

Tuition Fee

  • International

    20100 GBP/year
    Tuition Fee
    Based on the original amount of 20100 GBP per year and a duration of 36 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.

Home/EU fees have still to be agreed

PhD part-time fees

  • Overseas: £10,050

Living costs for Edinburgh

  • 725 - 1170 GBP/month
    Living Costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.

Funding

  • School of Mathematics funding opportunities
  • Research scholarships for international students
  • Principal's Career Development PhD Scholarships

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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