Recitations

Updated before recitation.

Problems for all recitations (pdf)

Solutions for all recitations (pdf)

Recitation 1 material (pdf) - updated

Recitation 2 material (pdf) -  updated

Recitation 3 material (pdf) - updated

Recitation 4 material  (pdf) - updated

Recitation 5 material  (pdf) - updated

Recitation 6 material (pdf) - updated

Recitation 7 material (pdf) - updated

Recitation 8 material (pdf) - updated

Recitation 9 material (pdf) - updated (Note, I discussed Exm. Collection problem 6/b (the mean time the system remains in blocking state) with Viktoria and we agreed that the provided solution is correct (we can discuss about it next time if you are still interested...)

Recitation 10 material (pdf) - updated

Recitation 11 material (pdf) - updated

Recitation 12 material (pdf) - updated

Recitation plan - updated continuously

Chapter numbers refer to the problem set chapter. In same cases we also give the set of problems discussed on the recitation. The rest of the problems should be solved at home!

R1 Probability theory - overview

R2 Probability theory - problems (Ch.1, Problems to be considered on the recitation: 3,5,6,7) 

R3 Poisson Process (Ch.2, problems 4,7) Markov chains (Ch.3, problem 4 - first part)

R4 Markov Chains (Ch. 3, problems 3,5,6), Queuing systems (Ch. 4), 

R5 M/M/1 (Ch. 5, At he recitation: 3.3, 5.1, 5.2, 5.6)

R6 M/M/m/m loss system, (Ch. 6, At the recitation: 6.5, 6.6), M/M/m wait system (Ch 7 7.1, 7.6), suggestion for home exercise: Exam 7.

R7 M/M/m/S and M/M/m//K (remaining 7.6, Ch. 8:  8.4 with additional small questions)

R8 Queuing networks (Ch. 12:  12.2, extra exam problem, 12.3)

R9 Method of stages (Ch. 9 : 9.1, 9.2, Exam 4.a. Suggestion for home exercise: Exam 6.)

R10 M/G/1 (Ch. 10: 10.1a,b, 10.2a, 10.4, Exam 9.a. Suggestion for home exercise: 10.3, 10.5a, Exam 5  )

R11 M/G/1 with vacation and priorities (Ch.11: exercise 11.3, 11.5)

R12 Course summary, example exam problems