Number of hours
- Lectures 24.0
- Projects -
- Tutorials -
- Internship -
- Laboratory works 24.0
- Written tests 2.0
ECTS
ECTS 3.0
Goal(s)
The aim of this course is to provide students with the necessary knowledge to model Production Systems and analyze them in order to assess their performance, in a stochastic environment.
In order to reach this aim, some modeling tools for Discrete Event Systems are studied, and it is shown how to use these tools to model Production Systems and analyze them in order to understand and optimize their behavior.
Responsible(s)
Content(s)
I. INTRODUCTION TO THE PERFORMANCE EVALUATION (1,5 hours):
- Why is it necessary to assess the performance of a production system?
- Steps of a performance evaluation
- Discrete Event Systems Modeling
II. SOME TOOLS FOR THE MODELING AND THE ANALYSIS OF PRODUCTION SYSTEMS (16,5 hours):
- Markov Chains (2 hours)
- Probability theory and stochastic processes
- Continuous Markov chains - Definition, Modeling, Resolution
- Queueing networks (6,5 hours )
- Generalities on queueing networks
- Analysis of a single queue
- Product form queueing networks - exact analysis
- Some elements for the resolution of non product form queueing networks
- Petri nets (8 hours)
- Presentation of the tool
- Formalization and Dynamics
- Qualitative properties
- Some elements for the quantitative analysis
III. MODELING PHYSICAL FLOWS IN PRODUCTION SYSTEMS (4,5 hours):
- Bottleneck analysis
- Importance of stochastic phenomena
Basic Probability and Statistics
Test
CC = Continuous assessment
E1 = Final written exam from the 1st exam period
E2 = Final written exam from the 2nd exam period
N1 = Final mark from the 1st exam period
N2 = Final mark from the 2nd exam period
N1=0,3*CC+0,7*E1
N2= E2
This weighting is compatible with a distant organization of teaching and exams.
N1 = 0,3*CC+0,7*E1
N2 = E2
Cette pondération est compatible avec une organisation des enseignements et des examens en distanciel
This weighting is compatible with a distant organization of teaching and exams.
The exam is given in english only 
Calendar
The course exists in the following branches:
- Curriculum - Master 1 GI program GID - Semester 7 (this course is given in english only
) - Curriculum - Master 1 GI SIE program - Semester 7 (this course is given in english only )
Additional Information
Course ID : WGUS1065
Course language(s):
You can find this course among all other courses.
Bibliography
- “Discrete, Continuous, and Hybrid Petri Nets”, R David and H Alla, Berlin, Springer-Verlag, 2005
- “ Queueing Systems ”, L. Kleinrock, Wiley, New York, Vol 1 1975, Vol.2 1976
- “ Modelling of computer and communication systems ”, I. Mitrani, Cambridge Computer Science texts 24, 1987
- “Discrete Event Systems - Modeling and performance analysis”, C. G. Cassandras, Richard D. Irwin, Inc., and Asken Associates, Inc., 1993
- “The Goal: A Process of Ongoing Improvement”, EM Goldratt and J Cox, NORTH RIVER PR INC, 2012