1 |
Queueing models with multiple waiting lines - Direct methods |
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Video, Notes from lecture and Compensation approach (CA) method - Slides |
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Lecture 1 notes: link |
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Extra material: The compensation approach method link (chapter 2) |
2 |
Queueing models with multiple waiting lines - Direct methods |
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Video, Notes from lecture on CA (builts on the notes of Lecture 1), Notes from lecture on the power series algorithm (PSA) and Paper by Ivo, Onno, and Jacques |
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Lecture 2 notes: link |
3 |
Queueing models with multiple waiting lines - Direct methods |
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Video, Notes from lecture on PSA |
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CA+PSA reading: Paper by Ivo, Onno, and Jacques sections 1, 2.1, 2.2 (method 1), 2.3 (method 2) |
4 |
Queueing models with multiple waiting lines - Indirect methods |
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Video, Notes from lecture on the kernel method (KM) |
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Lecture 4 notes: link |
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PGF and LST slides (Thanks to Rob v/d Mei): link |
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The boundary value method link |
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The KM slides (thanks to Johan van Leeuwaarden) link and the corresponding paper link |
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The kernel method notes (thanks to Johan van Leeuwaarden) link and some examples link |
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Numerical inversion of probability generating functions link |
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Dominant pole approximation link |
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| Example: A Tandem Queue with Coupled Processors - Computational Issues link and link |
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KM reading: Paper by Ivo, Onno, and Jacques section 2.2 (methods 2 and 3) and KM slides/paper by Johan |
5 |
Numerical solution of equilibrium equations: direct methods link |
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Numerical solution of equilibrium equations: iterative methods link |
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Video, Slides lecture 5 |
6 |
Markov processes link |
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Transient analysis of Markov processes link |
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Video, Slides lecture 6 |
7 |
M/M/1 type models link |
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Examples of M/M/1 type models link |
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Video, Slides lecture 7 |
8 |
Buffer occupancy method (BOM) link
link |
| Further reading: Pseudo-Conservation Laws in Cyclic-Service Systems link |
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Video, Slides lecture 8,
Slides PGF |
9 |
Descendant set approach link |
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BOM continued link, Slides lecture 9 RvdM |
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Connection of the matrix geometric approach, the kernel method, and the compensation approach link, Slides lecture 9 SK |
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Video Part 1 Video Part 2 |