Performance Evaluation of Production Systems - WGUS1065

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Number of hours
- Lectures : 24.0
- Tutorials : ?
- Laboratory works : 24.0
- Projects : ?
- Internship : ?
- Written tests : 2.0
ECTS : 3.0

Goals

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.

Contact Maria DI MASCOLO

Content

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

Prerequisites

Basic Probability and Statistics

Tests

Semester 7 - The exam is given in english only

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

N1 = 0,3*CC+0,7*E1

N2 = E2

Additional Information

Semester 7 - This course is given in english only

Course list

Curriculum->Master GI SIE program->Semester 7

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