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) - will change

Recitation 4 material (pdf) 

Recitation 5 material (pdf) 

Recitation 6 material (pdf)  Note, for solution 7.6/d we agreed in i-1 services, instead of the i-2 given in the solution here and in the booklet.

Recitation 7 material (pdf) 

Recitations 8 (pdf) 

Recitation 9 (pdf)

Recitation 10 (pdf) 

Recitation 11 + a missing  problem on vacation systems (11.5), solutions

Recitation 12 Practice problems, and solutions

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