Overview

The details

Course: Operational Research

Start date: October 2023

Study mode: Full-time

Maximum duration: 5 years

Location: Colchester Campus

Based in: Mathematical Sciences

An Integrated PhD provides a route into research study if you do not have a Masters degree, or have very little research training. It enables you to spend your first year completing a Masters-level qualification, followed by a full-time PhD studied over 3-4 years. We also offer a ‘standard’ PhD in this subject which can be studied either full-time (3-4 years) or part-time (6-7 years).

Businesses, organisations, and individuals all strive to work as effectively as possible. Operational research uses advanced statistical and analytical methods to help improve the complex decision-making processes to deliver a product or service. Working in this field, you might be identifying future needs for a business, evaluating the time-life value of a customer, or carrying out computer simulations for airlines.

The first year of our Integrated PhD Operational Research will appeal to you if your first degree included mathematics as its major subject, and we expect you to have prior knowledge of statistics – for example significance testing or basic statistical distributions – and operational research such as linear programming.

In your second year you move onto the PhD element of the course. You’ll have the opportunity to explore areas where optimisation and mathematical modelling are important. These include logistics, revenue management, networks and stochastic control, areas of great practical interest and use in the public and private sectors. Our projects often have an experimental aspect which is underpinned by forefront mathematical and computational research in these areas.

Our interdisciplinary research recognises that mathematics, including what can be very abstract mathematics, is an essential part of research in many other disciplines.

All University of Essex research students have access to our innovative and unique scheme, Proficio. Postgraduate research students are automatically enrolled on Proficio, which provides a variety of training courses, and a fund of up to £2,500 per student for conference attendance and relevant external training courses.

Female student sat in the corner of a sofa holding a cup of tea and chatting to another student slightly out of view in the left of the image.

Chat to our staff and students

Find out what it's like to live and study at Essex from those who are already here.

Why we're great.

You specialise in areas including continuous and discrete optimisation, time series econometrics, and experimental design.
We have an international reputation for our work on optimisation, probability and applied statistics.
Our department is ranked 31st for research power in the Research Excellence Framework 2021.

Our expert staff

Our Department of Mathematical Sciences is a small but influential department, so our students and staff know each other personally. You never need an appointment to see your tutors and supervisors, just knock on our office doors – we are one of the few places to have an open-door policy, and no issue is too big or small.

The Department of Mathematical Sciences has an international reputation in all areas of Mathematical Sciences including; statistics, operational research, applied mathematics, pure mathematics, and actuarial science.

Our staff are strongly committed to research and teaching. They have published several well-regarded text books and are world leaders in their individual specialisms, with their papers appearing in learned journals like Communications in Algebra, Studia Logica, International Journal of Algebra and Computation, SIAM Journal in Optimization, IEEE Evolutionary Computation, Computers and Operations Research, Ecology, Journal of Mathematical Biology, and Journal of Statistical Applications in Genetics and Molecular Biology.

Specialist facilities

Our Department of Mathematical Sciences is based in the University’s state-of-the-art STEM Centre
Unique to Essex is our renowned Maths Support Centre, which offers help to students, staff and local businesses on a range of mathematical problems. Throughout term-time, we can chat through mathematical problems either on a one-to-one or small group basis
Research students have a dedicated work space and PCs, with access to software such as MATLAB, Gap, SageMath, Python and R
We host regular events and seminars throughout the year
Our students run a lively Mathematics Society, an active and social group where you can explore your interest in your subject with other students

Your future

Our course will equip you with employability skills like problem solving, analytical reasoning, data analysis, and mathematical modelling, as well as training you in independent work, presentation and writing skills.

Your exposure to current active research areas, such as decomposition algorithms, prepares you for further study at doctoral level. Graduates of this course now hold key positions in government, business and academia, and work for global companies such as Ocado Technology and Dunnhumby, as well as for HM Revenue & Customs, as data and business intelligence analysts.

Many of our former PhD students have gone on to work as academics in prominent institutions across the world, such as the University of Cambridge, University of Nottingham and many other international universities. Some have also remained at the University of Essex, working as postdoctoral research fellows, research impact officers, or lecturers.

Other graduates have joined organisations like the Met Office, the Ministry of Defence, and companies based in the City of London. There is a high demand for those with a numerate background in all sectors of the economy, so our graduates are sought after in the UK and abroad.

We additionally work with our Employability and Careers Centre to help you find out about further work experience, internships, placements, and voluntary opportunities.

Entry requirements

UK entry requirements

A good honours degree in one of the following subjects: Mathematics, Actuarial Science, Statistics, Operational Research, Computer Science, Finance, Economics, Business Engineering.

Our four year integrated PhD, allows you to spend your first year studying at Masters level in order to develop the necessary knowledge and skills and to start your independent research in year two.

International & EU entry requirements

We accept a wide range of qualifications from applicants studying in the EU and other countries. Get in touch with any questions you may have about the qualifications we accept. Remember to tell us about the qualifications you have already completed or are currently taking.

Sorry, the entry requirements for the country that you have selected are not available here. Please select your country page where you'll find this information.

English language requirements

If English is not your first language , we require IELTS 6.0, or equivalent with a minimum of 5.5 in all other components.

Structure

Course structure

Most of our taught courses combine compulsory and optional modules, giving you freedom to pursue your own interests. All of the modules listed below provide an example of what is on offer from the current academic year. Our Programme Specification provides further details of the course structure for the current academic year.

Our research-led teaching is continually evolving to address the latest challenges and breakthroughs in the field. The course content is therefore reviewed on an annual basis to ensure our courses remain up-to-date so modules listed are subject to change.

The research element of your degree doesn't have a taught structure, giving you the chance to investigate your chosen topic in real depth and reach a profound understanding. In communicating that understanding, through a thesis or other means, you have a rare opportunity to generate knowledge. A research degree allows you to develop new high-level skills, enhance your professional development and build new networks. It can open doors to many careers.

We understand that deciding where and what to study is a very important decision for you. We’ll make all reasonable efforts to provide you with the courses, services and facilities as described on our website. However, if we need to make material changes, for example due to significant disruption, or in response to COVID-19, we’ll let our applicants and students know as soon as possible.

Components and modules explained

Components

Components are the blocks of study that make up your course. A component may have a set module which you must study, or a number of modules from which you can choose.

Each component has a status and carries a certain number of credits towards your qualification.

Status	What this means
Core	You must take the set module for this component and you must pass. No failure can be permitted.
Core with Options	You can choose which module to study from the available options for this component but you must pass. No failure can be permitted.
Compulsory	You must take the set module for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.
Compulsory with Options	You can choose which module to study from the available options for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.
Optional	You can choose which module to study from the available options for this component. There may be limited opportunities to continue on the course/be eligible for the qualification if you fail.

The modules that are available for you to choose for each component will depend on several factors, including which modules you have chosen for other components, which modules you have completed in previous years of your course, and which term the module is taught in.

Modules

Modules are the individual units of study for your course. Each module has its own set of learning outcomes and assessment criteria and also carries a certain number of credits.

In most cases you will study one module per component, but in some cases you may need to study more than one module. For example, a 30-credit component may comprise of either one 30-credit module, or two 15-credit modules, depending on the options available.

Modules may be taught at different times of the year and by a different department or school to the one your course is primarily based in. You can find this information from the module code. For example, the module code HR100-4-FY means:

100

The department or school the module will be taught by.

In this example, the module would be taught by the Department of History.

The module number.

The UK academic level of the module.

A standard undergraduate course will comprise of level 4, 5 and 6 modules - increasing as you progress through the course.

A standard postgraduate taught course will comprise of level 7 modules.

A postgraduate research degree is a level 8 qualification.

The term the module will be taught in.

AU: Autumn term
SP: Spring term
SU: Summer term
FY: Full year
AP: Autumn and Spring terms
PS: Spring and Summer terms
AS: Autumn and Summer terms

COMPONENT 01: COMPULSORY

Mathematics - Research

(0 CREDITS)

This module is for PhD students who are completing the research portions of their theses.

View Mathematics - Research on our Module Directory

COMPONENT 01: CORE

Dissertation

(60 CREDITS)

This is a dissertation module for MSc students. Student will be provided with a list of dissertation titles or your own, provided a member of staff agrees it is of suitable standard and is able to supervise it.

View Dissertation on our Module Directory

COMPONENT 02: COMPULSORY

Nonlinear Programming

(15 CREDITS)

How do you apply an algorithm or numerical method to a problem? What are the advantages? And the limitations? Understand the theory and application of nonlinear programming. Learn the principles of good modelling and know how to design algorithms and numerical methods. Critically assess issues regarding computational algorithms.

View Nonlinear Programming on our Module Directory

COMPONENT 03: COMPULSORY

Combinatorial Optimisation

(15 CREDITS)

In this module you will learn what underpins the algorithms used where variables are integer and apply these algorithms to solve integer and mixed integer problems with cutting-plane algorithms.

View Combinatorial Optimisation on our Module Directory

COMPONENT 04: COMPULSORY

Introduction to Programming in Python

(15 CREDITS)

The aim of this module is to provide an introduction to computer programming for students with little or no previous experience. The Python language is used in the Linux environment, and students are given a comprehensive introduction to both during the module. The emphasis is on developing the practical skills necessary to write effective programs, with examples taken principally from the realm of data processing and analysis. You will learn how to manipulate and analyse data, graph them and fit models to them. Teaching takes place in workshop-style sessions in a software laboratory, so you can try things out as soon as you learn about them.

View Introduction to Programming in Python on our Module Directory

COMPONENT 05: COMPULSORY

Dynamic programming and reinforcement learning

(15 CREDITS)

Are you interested in understanding how AlphaGo was able to beat a top Go player? In this module, you will learn about the models behind successful stories of Reinforcement Learning, where a machine (agent) makes sequential decisions to reach an optimal goal. The lectures will be complemented with Lab sessions where we will take advantage of the Open AI Gym environments, allowing us to train our agents to perform tasks such as playing videogames (Atari) and more.

View Dynamic programming and reinforcement learning on our Module Directory

COMPONENT 06: COMPULSORY

Data Visualisation

(15 CREDITS)

In a world increasingly driven by data, the need for analysis and visualisation is more important than ever. In this module you will look at data through the eyes of a numerical detective. You will work on the lost art of exploratory data analysis, reviewing appropriate methods for data summaries with the aim to summarise, understand, extract hidden patterns and identify relationships. You will then work on graphical data analysis, using simple graphs to understand the data, but also advanced complex methods to scrutinise data and interactive plots to communicate data information to a wider audience. For data analysis and visualisations you will use R-studio, and a combination of R-shiny applications and google visualisations for interactive plotting.

View Data Visualisation on our Module Directory

COMPONENT 07: COMPULSORY WITH OPTIONS

(55 CREDITS)

COMPONENT 08: COMPULSORY

Research Skills and Employability

(0 CREDITS)

What skills do you need to succeed during your studies? And what about after university? How will you realise your career goals? Develop your transferable skills and experiences to create your personal profile. Reflect on and plan your ongoing personal development, with guidance from your personal advisor within the department.

View Research Skills and Employability on our Module Directory

Teaching

Core components can be combined with optional modules, to enable you to gain either in-depth specialisation or a breadth of understanding
Learn to use LATEX to produce a document as close as possible to what professional mathematicians produce in terms of organisation, layout and type-setting
Our postgraduates are encouraged to attend conferences and seminars

Assessment

Our taught modules are assessed on the results of your written examinations, together with continual assessments of your practical work and coursework

Dissertation

A PhD (with a minimum period of three years) typically involves wide reading round the subject area in your first year, then gradually developing original results over your second and third years, before writing them up in a coherent fashion. The resulting thesis is expected to make a significant contribution to knowledge.

Your PhD is awarded after your successful defence of your thesis in an oral examination (viva), in which you are interviewed about your research by two examiners, at least one of whom is from outside Essex.

Fees and funding

Home/UK fee

£5,900

International fee

£17,900

Fees will increase for each academic year of study.

Masters fees and funding information

Research (e.g. PhD) fees and funding information

What's next

You can apply for this postgraduate course online. Before you apply, please check our information about necessary documents that we’ll ask you to provide as part of your application.

We encourage you to make a preliminary enquiry directly to a potential supervisor or the Graduate Administrator within your chosen Department or School. We encourage the consideration of a brief research proposal prior to the submission of a full application.

We aim to respond to applications within four weeks. If we are able to offer you a place, you will be contacted via email.

For information on our deadline to apply for this course, please see our ‘how to apply’ information.

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Set within the 200-acre award-winning beautiful parkland - Wivenhoe Park and located two miles from the historic city centre of Colchester – England's oldest recorded development. Our Colchester Campus is also easily reached from London and Stansted Airport in under one hour.

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