Synthesis
A normal physic system (like the suspension system) can be modelled by a differential equation, so it can be derived, and integrated.
A queuing system (like the queue at the post office) cannot be modelled by a differential equation, because the number of elements in the queue belongs to the Natural set ().
Differences between a Physic system and a Queuing system
- The suspension system will be modelled by a linear time-invariant differential equation:
- So how can we model event-driven dynamics?
Objectives of the course:
- Modeling, analysis and simulation of Discrete Event Systems (DES)
Main Contents:
- modeling
- probability
- programming (MATLAB)
Which types of models will be considered ?
- Logical and timed models (automata)
- Markov chains
Main application: QUEUEING THEORY
~Examples of discrete event systems:
- A manufacturing plant with machines, workers, conveyor belts, buffers, etc.
- A bank with different types of customers and services (desks, ATMs, etc.)
- A computer system with resources and processes needing access to resources