# Syllabus

Title
2364 Operations Research (OR)
Instructors
Univ.Prof.i.R. Dipl.-Ing.Dr. Werner Jammernegg, Dr. Fabien Tricoire
Contact details
• Type
PI
• Weekly hours
2
• Language of instruction
Englisch
Registration
08/31/21 to 09/02/21
Registration via LPIS
Notes to the course
The subject ¿Operations Research" will be held in the wintersemester 2021/22 for the last time!
Subject(s) Master Programs
Dates
Day Date Time Room
Tuesday 09/21/21 09:00 AM - 12:30 PM Online-Einheit
Wednesday 09/22/21 09:00 AM - 12:30 PM Online-Einheit
Thursday 09/23/21 09:00 AM - 12:30 PM Online-Einheit
Monday 09/27/21 09:00 AM - 12:30 PM Online-Einheit
Tuesday 09/28/21 09:00 AM - 12:30 PM Online-Einheit
Wednesday 09/29/21 09:00 AM - 12:30 PM Online-Einheit
Thursday 09/30/21 10:00 AM - 12:00 PM Online-Einheit

#### Contents

The course provides an introduction to the theoretical aspects and practical adaptation of Operations Research methods for modeling and solving linear optimization problems, especially in production, transportation and logistics. Furthermore, elementary concepts of probability as well as discrete and continuous distributions are reviewed and the relevance for basic Operations and Supply Chain Management (OSCM) models is demonstrated.

Topics include:

• Formulation of a linear or integer optimization model
• Basics of the mathematical solution
• Solution using standard software (Excel)
• Sensitivity analysis
• Basics of probability and discrete and continuous random variables
• Single period inventory model with discrete demand distribution
• Capacity management with queuing models: Poisson and exponential distribution
• Demand aggregation (pooling): Sum of Normal distributions

#### Learning outcomes

After attending this course, students will be able to:
• Formulate a certain class of decision problems as linear or a (mixed) integer programs
• Solve a linear or integer program
• Interpret the optimal solution and perform elementary sensitivity analysis
• Use network planning procedures for solving logistics problems
• Understand and apply elementary probability laws and random variables and their moments (Expectation, standard deviation, coefficient of variation) to OSCM models
• Analyze basic inventory-related performance measures and their relationships (expected sales and lost-sales, cycle service level, fill rate)
• Formulate a queuing model with exponential processing times and Poisson demand and to derive the expected waiting time, cycle time and work in progress (WIP)
• Understand the independence and correlation of random variables and their impact on centralization of demands of products or locations (Example: Normal distribution)

#### Attendance requirements

Attendance requirement is met if a student is present for at least 80% of the lectures.

#### Teaching/learning method(s)

The course is taught using a combination of lectures, class discussions,homework exercises and in-class assignments.

#### Assessment

The main topics will be presented in class. You will be required to do homework exercises in virtual teams of 3 students and individual in-class assignments which need to be downloaded and handed in on Learn in the respective time slot.

Assessment

• Homework exercises, 32 points (4 homeworks)
• In-class assignments, 18 points (4 assignments)
• Final exam, 50points: Min. 20 points out of 50 are required for passing the course

•     Excellent (1): 90% - 100.0%

•     Good (2): 80% - <90%

•     Satisfactory (3): 70% - <80%

•     Sufficient (4): 60.0% - <70%

•     Fail (5): <60.0%

Prerequisite for passing the course: minimum performance of 40% in the final examination.

#### Prerequisites for participation and waiting lists

Incoming students (exchange programs): tba

1 Author: Dimitris Bertsimas and Robert Freund
 Title: Data, Models and Decisions, The Fundamentals of Management Science (Chapters 1, 2, 3, 7, 9, 10)

Publisher: Dynamic Ideas
Content relevant for class examination: Yes
Recommendation: Essential reading for all students
Type: Book
2 Author: Anderson, Sweeney, Williams, Martin
 Title: An Introduction to Management Science (Chapter 21)

Publisher: South-Western Cengage Learning
Content relevant for class examination: Yes
Recommendation: Essential reading for all students
Type: Book
3 Author: Frederick Hillier and Gerald Lieberman
 Title: Introduction to Operations Research

Publisher: McGraw-Hill International (HL)
Content relevant for class examination: No
Recommendation: Reference literature
Type: Book

#### Other

Program's website: www.wu.ac.at/master/scm

#### Unit details

Unit Date Contents
1

Fundamentals of Probability

2

Probability Distributions

3

Applications: Queueing and Pooling

4

Decision Analysis and Dynamic Programming

5

Linear Programming

6

Discrete Optimization

7

Final Exam

Last edited: 2021-07-01

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