Course ObjectiveIn this course you will become acquainted with stochastic processes and
models for waiting lines (queueing models). The learning objectives are:
1. to know the assumptions and formulations of the fundamental
stochastic processes and queueing models mentioned above;
2. to be able to analyze and derive results for the fundamental models
mentioned above, and apply similar analysis techniques to related
3. to formulate a model that can be used to analyze a given practical
situation, and/or recognize which model is applicable;
4. to be able interpret the results of these stochastic models, and
understand the practical implications (such as economies of scale,
impact of variability, and critical load).
Course ContentStochastic processes and queueing models are often applied to model
practical situations where uncertainty is involved. This course mainly
focuses on Markov chains and queueing models. A key element is the
theoretical development of such models with the emphasis on modeling and
its analysis. In addition, the models are motivated by applications.
More specifically, the fundamental stochastic processes and queueing
models that we study are: Markov chains in discrete and continuous time,
the Poisson process, the M/M/1 queue, the Erlang delay and loss model,
birth-death processes, the M/G/1 queue and the waiting-time paradox.
Teaching MethodsLectures and tutorials.
Method of AssessmentA written midterm exam at the end of period 1 (40% of the grade), a
practical assignment in period 1 (10% of the grade) presented in the
fourth week and to be turned in two weeks later, and a written midterm
exam at the end of period 2 (50% of the grade).
The resit exam covers all material of the course. The practical
assignment still determines 10% of the grade in case of a resit, unless
the grade for the resit exam is higher, in which case the grade for the
resit is determined entirely by the resit exam. It is not possible to
take a resit for only one of the two midterm exams.
LiteratureKulkarni, V.G., Introduction to Modeling and Analysis of Stochastic
Systems, Springer Texts in Statistics (also available as e-book via
Adan, I.J.B.F., and Resing, J.A.C., Queueing Theory, online lecture
notes (made available via Canvas)
Recommended background knowledgeProbability Theory (in particular, the binomial, Poisson, exponential
and uniform distributions and the law of total probability), Calculus 1
and 2 (in particular, power series and Taylor series), Linear Algebra
|Language of Tuition||English|
|Faculty||Faculty of Science|
|Course Coordinator||dr. W. Kager|
|Examiner||dr. W. Kager|
dr. W. Kager
You need to register for this course yourself
Last-minute registration is available for this course.
|Teaching Methods||Seminar, Lecture|
This course is also available as: