Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.


After the course the student
*Knows the most important systems of the production planning and optimization used in the process industries, their structure and operation principles;
*Knows the most important operation research areas and their typical problems;
*Is able to use linear programming: Simplex methods and its variants;
*Knows the methods for transportation, inventory and supply chain optimization;
*Knows dynamic programming, integer programming and nonlinear programming methods and their use;
*Knows most common scheduling methods and their use.

Credits: 5

Schedule: 14.09.2021 - 25.10.2021

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Teemu Ikonen, Iiro Harjunkoski

Contact information for the course (applies in this implementation):


Possible to arrange individual Teams meetings per request.

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English


  • valid for whole curriculum period:

    The aim of the course is to give knowledge about methods used in production planning and optimization of industrial processes. Applications of production control are also discussed.
    Supply chain optimization (LP)
    Production scheduling (MILP)

  • applies in this implementation


    • Introduction to the course, examples of optimization
    • Linear programming
    • Simplex method
    • Supply Chain Optimization
    • Dynamic programming
    • Integer Programming
    • Scheduling
    • Resource Task Networks (RTN)
    • Heuristics/Metaheuristics
    • Mixed Integer Nonlinear Programming (MINLP), Generalized Disjunctive Programming (GDP)
    • Open source modeling environments: JuMP, Pyomo
    • RECAP

Assessment Methods and Criteria
  • valid for whole curriculum period:

    Independent study and exam

  • valid for whole curriculum period:

    Home assignments and independent study


Study Material
  • valid for whole curriculum period:

    To be announced later.

  • applies in this implementation

    The supporting book "INTRODUCTION TO OPERATIONS RESEARCH" by FREDERICK S. HILLIER and GERALD J. LIEBERMAN is recommended as additional reading.

Substitutes for Courses
SDG: Sustainable Development Goals

    6 Clean Water and Sanitation

    7 Affordable and Clean Energy

    8 Decent Work and Economic Growth

    9 Industry, Innovation and Infrastructure

    11 Sustainable Cities and Communities

    12 Responsible Production and Consumption

    13 Climate Action


Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Autumn I

    2021-2022 Autumn I

    Course Homepage:

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu ( instead of WebOodi.


  • applies in this implementation

    In this course we will use the leading industrial modeling system GAMS for most of the exercises. It is important to get some hands-on experience.

    In addition to the lecture material, there are lots of tutorials available at their webpage.

    The link to online lectures is: