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Introduction
Stochastic processes and queuing models are essential in system analysis. Hence, it is important to learn discrete-time and continuous-time Markov chains and queuing systems, and their applications in solving practical engineering problems. The objective of this course is to familiarize the participating individuals with understanding of stochastic processes and queuing models. Discrete-time and continuous-time Markov chains and their steady-state analysis will be discussed. Various queuing models will also be discussed. Applications to real world situations will be used to illustrate the theory.
This course is part of:
- Graduate Certificate in Computer Control and Automation
- FlexiMasters
in Computer Control and Automation
Upon completion, learners should:
1. Understand the properties of discrete-time and continuous-time Markov chains;
2. Carry out steady-state analysis of discrete-time and continuous-time Markov chains;
3. Understand the properties of various queuing models and;
4. Apply various queuing models to real-world situations.
Random Processes
Stochastic processes. Poisson process. Discrete-time Markov chain. Chapman- Kolmogorov equations. Long-run properties of Markov chains. First passage times. Absorbing states. Continuous-time Markov chain. Birth-death processes.
Queuing Models
Basic structure of queuing models. Examples of real queuing systems. The role of the exponential distribution. Queuing models based on the birth-death process, M/M/s model, M/M/s/K model. The application of queuing theory.
Standard Course Fee: S$1,635
SSG Funding Support | Course fee payable after SSG funding, if eligible under various schemes | ||
Fee BEFORE funding & GST | Fee AFTER funding & 8% GST | ||
Singapore Citizens (SCs) and Permanent Residents (PRs) (Up to 70% funding) | S$1,500.00 | S$490.50 | |
Enhanced Training Support for SMEs (ETSS) | S$190.50 | ||
SCs aged ≥ 40 years old | |||
• NTU/NIE alumni may utilise their $1,600 Alumni Course Credits. Click here for more information.
| COURSE TITLE | ACADEMIC UNIT |
| CET715 Discrete Time System Modelling and Analysis | 1 |
| CET716 State-Space Design Methods | 1 |
| CET717 Optimal Control, Design and Implementation of Digital Controllers | 1 |
| CET718 Linear and Nonlinear Programming | 1 |
| CET720 Decision Analysis | 1 |
| CET721 Robot Kinematics | 1 |
| CET722 Robot Control | 1 |
| CET723 Robotic Sensing and Sensors | 1 |
| CET724 Image Processing for Vision | 1 |
| CET725 Pattern Recognition and Stereo Vision | 1 |
| CET726 Three-dimensional computer vision | 1 |
| CET727 Process modelling | 1 |
| CET728 Model predictive control | 1 |
| CET729 Multivariable process control | 1 |
Listed courses are:
- Credit-bearing and stackable to Graduate Certificate in Computer Control and Automation (total 9AUs) and FlexiMasters in Computer Control and Automation (total 15AUs)
- SSG funded and SkillsFuture Credit approved
