## Queueing Theory and Simulation

 Faculteit Economie en Bedrijfskunde Jaar 2021/22 Vakcode EBB074A05 Vaknaam Queueing Theory and Simulation Niveau(s) bachelor, uitwisseling Voertaal Engels Periode semester II a ECTS 5 Rooster rooster

Uitgebreide vaknaam Queueing Theory and Simulation
Leerdoelen Upon completion of the course the student is able to:
1. Use algorithms to analyze queueing systems;
2. Modify example code that is made available on the lecturer’s homepage, with the aim to analyze
omplicated queueing systems;
3. use and modify provided simulation tools for system analysis;
4. use mean value analysis algorithm to analyse queueing networks;
5. Use published models as special cases to test the simulation models;
6. Analyze, validate and interpret output of the implemented simulation models.
Omschrijving Queueing systems pervade our society, at shops, supermarkets, call centers and so on. It is common in such systems to make trade-offs between the costs of operation, e.g., hiring personnel, and service as perceived by customers, e.g., mean waiting time.
To make such trade-offs one should be able to analyze the behavior of queueing systems and compute relevant key performance indicators. For this purpose we need models of queueing systems. The simple models can typically be solved with mathematical tools, but the analysis of difficult models requires simulation. However, even though simulation is very powerful, the development of useful simulators is based on profound insight into queueing systems in general, such as the dominating factors and aspects of the system’s behavior. Moreover, simulators require extensive testing, as bugs are easily made. Hence, mathematical models are also key ingredients in the development process of a simulator, to provide insight and a suitable testing ground.
The aim of this course is to equip a student with a set of tools to analyze and improve queueing systems by means of simple mathematical models on the one hand, and with simulation on the other. The student should realize that both approaches complement each other: the simulations to analyze realistic queueing systems, the mathematical models to provide intuition, insight and tests.
The course starts with providing a set of simple numerical models (recursions) to analyze and simulate realistic queueing systems. Then we develop mathematical models to analyse single server queueing systems and queueing networks, and show how simulation and analysis interact in the understanding of queueing systems and queueing networks.
Uren per week 5
Onderwijsvorm -groepsbegeleiding ,  -hoorcollege ,  -werkcollege
Toetsvorm -computer test/wekelijkse quiz,  -groepsopdracht,  -schriftelijk tentamen (open vragen)
Vaksoort bachelor
Coördinator dr. N.D. van Foreest
Docent(en) dr. N.D. van Foreest
Verplichte literatuur
Titel Auteur ISBN Prijs
lecture notes
Entreevoorwaarden Participants should have an understanding of basic probability concepts such as taught in the course Probability Theory for EOR. In particular:
*Probability density and distribution function
*Joint distribution and density, marginal distributions and densities
*Conditional probability for (mixtures of) discrete and continuous random variables (Condition distribution functions, conditional density functions)
*Expectation
*Conditional expectation
*Moment generation functions
Opmerkingen Info: Dr Nicky van Foreest, phone: +3150 36 35178, e-mail: n.d.van.foreest@rug.nl.
Secr: Operations, phone: +3150 36 37020, e-mail: secr.operations.feb@rug.nl.
Opgenomen in
Opleiding Jaar Periode Type
BSc Applied Mathematics 3 semester II a keuze
BSc Econometrics and Operations Research/EOR  (basisprogramma BSc EOR) 2 semester II a verplicht
Courses Exchange (BSc)  (Courses Exchange Students (BSc) without limited access) 2 semester II a keuze