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3rd Copenhagen School of Stochastic Programming
Provider: Faculty of Science

Activity no.: 5577-26-00-00There are 58 available seats 
Enrollment deadline: 30/06/2026
PlaceDepartment of Mathematical Sciences
Date and time19.08.2026, at: 09:00 - 21.08.2026, at: 16:00
Regular seats60
LecturersTrine Krogh Boomsma
Giovanni Pantuso
ECTS credits2.00
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserPhD Administration SCIENCE    E-mail address: phdcourses@science.ku.dk

Enrolment guidelines
This is a specialised course where 50% of the seats are reserved for PhD students enrolled at the Faculty of SCIENCE at UCPH and 50% of the seats are reserved for PhD students at other faculties and universities. Seats will be allocated on a first-come, first-served basis and according to the applicable rules.

Anyone can apply for the course, but if you are not a PhD student, you will be placed on the waiting list until enrollment deadline. After the enrollment deadline, available seats will be allocated to applicants on the waiting list.


Aim and Content
This course provides a rigorous and research-oriented introduction to stochastic programming, a mathematical framework for decision-making in the presence of uncertainty. In many real-life problems, important parameters are unknown to the decision-maker and only distributional information is available. Examples include the scheduling of power generation under uncertainty in renewable supply, investments in assets with uncertain future returns or production of goods for which demand is stochastic. The purpose of the course is to prepare the students for carrying out independent research, including developments and applications of the methodology.

The days of the course will be divided into a morning and an afternoon session. During the morning session, the course will host lectures by world-renowned scientists on the subject. During the afternoon sessions, the students will have a chance of presenting their own work and discuss their research challenges between themselves and with the experts.

A plan of the activities is as follows (the order may change):
• Day 1: – Morning: Introduction stochastic programming (speaker: Stein Wallace, Norwegian School of Economics)
• Day 1 – Afternoon: Formalization of stochastic programs (speaker: Trine Boomsma)
• Day 2 – Morning: Chance-constrained stochastic programming (speaker: Miguel Lejeune, George Washington University)
• Day 2 – Afternoon: Stochastic programs with stochastic dominance constraints (speaker: Milos Kopa, Charles University)
• Day 2 – Evening: Social event
• Day 3 – Morning: Mixed-integer stochastic programming (speaker: Ward Romeijnders, University of Groningen)
• Day 3 – Afternoon: Stochastic Programs with Decision-Dependent Uncertainty (Giovanni Pantuso)


Learning outcomes
Intended learning outcome for the students who complete the course:

Knowledge:
• Formulations of two-stage, multi-stage and chance-constrained stochastic programming problems, possibly with endogenous uncertainty
• Properties of stochastic programming problems
• Solution and approximation methods

Skills:
• Formulate different types of stochastic programming problems, depending on the interplay between decision-making and information disclosure, on the required probability of feasibility, and on the relationship between uncertainty and decisions
• Approximate the uncertain data by means of scenarios
• Develop solution strategies for different types of stochastic programming problems

Competences:
• Recognize and structure a decision problem affected by uncertainty and propose a suitable mathematical formulation
• Identify a suitable way of representing or approximating the uncertain data of the problem and its effect on decisions
• Devise appropriate solution methods for the decision problem
• Quantify and analyze the impact of uncertainty on the decision problem and its solution


Target Group
PhD students from e.g., mathematics, engineering, economics, working with optimization under uncertainty.


Recommended Academic Qualifications
Linear programming and probability theory.


Research Area
Optimization and decision-making.


Teaching and Learning Methods
• Self-study before and during the course.
• 3 hours of lectures per day for 3 days.
• 4 hours of student presentations per day for 3 days.
• Final assignment.


Type of Assessment
The students will be assessed based on an assignment to be delivered after the end of the course.


Literature
J. R. Birge and F. Louveaux (2011) Introduction to Stochastic Programming.
Selected research papers.


Course coordinator
Trine Krogh Boomsma (Professor)
Giovanni Pantuso (Associate Professor)


Guest Lecturers
- Prof. Stein W. Wallace is a Professor of Operational Research and leader of the Centre for Shipping and Logistics at NHH. He is best known for his seminal work in stochastic programming -- in particular the two books Stochastic Programming (with Peter Kall from 1994) and Modeling with stochastic programming (with Alan King from 2012) -- but also for extensive work in logistics and energy systems. His work has received more than 10.000 citations. He is on numerous editorial boards, including INFORMS Journal on Computing (since 1990), and founded the Norwegian OR Society and has held elected positions in The British OR Society as well as The Society for Transportation and Logistics in INFORMS and The Mathematical Programming Society.

- Dr. Miguel Lejeune is a Professor of Decision Sciences at the George Washington University School of Business and a Professor of Electrical and Computer Engineering at the School of Engineering & Applied Science. His research expertise spans stochastic programming, distributionally robust optimization, mixed-integer nonlinear programming, with a notable reputation for his contributions to chance-constrained optimization. Dr. Lejeune’s work has been published in the most prestigious academic journals, and he has received numerous honors for his research and teaching, including the 2019 Koopman Award from the INFORMS Society and the 2024 Excellence in Research Award in Applied Mathematics from the Washington Academy of Sciences, where he is a fellow. In addition, Dr. Lejeune is an Associate Editor for several prominent journals such as INFORMS Journal on Computing and Mathematical Programming.

- Prof. Dr. Ward Romeijnders is Professor at the Department of Operations at the University of Groningen. He is an expert on mixed-integer stochastic programming, and is broadly interested in theory, methods, and applications to address societal challenges in, e.g., energy, logistics, finance, and healthcare. He is the chair of COSP, the governing board of the international Stochastic Programming Society, the secretary of the Euro Working Group on Stochastic Optimization and he serves as Associate Editor of Mathematical Methods of Operations Research. Moreover, his research is published in leading journals such as Operations Research and Mathematical Programming. Ward has been awarded several research grants from NWO, the Netherlands Organisation for Scientific Research, for his research.

- Prof. Milos Kopa is an associate professor at Charles University in Prague, chair of Department of Probability and Mathematical Statistics, Faculty of Mathematics and Physics and Director of Financial Mathematics study program. His research interests involve stochastic programming theory and applications, especially financial applications. He has published several papers dealing with portfolio efficiency; stochastic dominance criteria; data envelopment analysis and its relation to stochastic dominance; and robustness in stochastic programs with risk constraints. He is the secretary of and an active member of several other scientific international societies: Stochastic Programming Community, EURO working group on commodities and financial modelling, EUROPT. In Czech Republic, he is the vice-president (and former president 2020-2023) of the Czech Society for Operations Research, a member of expert group for Mathematics of the Czech National Accreditation Authority and the former chair (2019-2021) of expert committee for Finance and Operations research of the Czech Science Foundation.


Dates
19-21 August 2026.


Course location
HCØ, Nørre Campus


Registration deadline
30 June 2026




Course fee
• Participant fee: 800 DKK
• PhD student enrolled at SCIENCE: 0 DKK
• PhD student from Danish PhD school Open market: 0 DKK
• PhD student from Danish PhD school not Open market: 3000 DKK
• PhD student from foreign university: 3000 DKK
• Master's student from Danish university: 0 DKK
• Master's student from foreign university: 3000 DKK
• Non-PhD student employed at a university (e.g., postdocs): 3000 DKK
• Non-PhD student not employed at a university (e.g., from a private company): 8400 DKK

Cancellation policy
• Cancellations made up to two weeks before the course starts are free of charge.
• Cancellations made less than two weeks before the course starts will be charged a fee of DKK 3.000
• Participants with less than 80% attendance cannot pass the course and will be charged a fee of DKK 5.000
• No-show will result in a fee of DKK 5.000
• Participants who fail to hand in any mandatory exams or assignments cannot pass the course and will be charged a fee of DKK 5.000

Course fee and participant fee
PhD courses offered at the Faculty of SCIENCE have course fees corresponding to different participant types.
In addition to the course fee, there might also be a participant fee.
If the course has a participant fee, this will apply to all participants regardless of participant
type - and in addition to the course fee.

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