Chap. 4. Continuous time Markov chains

28 maio 2019, 14:30 • Manuel Cabral Morais

4.8 Birth and death queueing systems in equilibrium (from subsection 4.8.2 until the end of the section)

Exercises: G6-Exam-19July2013-Exercise 2 (after Prop. 4.80), 4.82, 4.88, G3-Test2-11June2013-Exercise 2, 4.92 (hints), G3-Test2-24June2013-Exercise 2, 4.97

Chap. 4. Continuous time Markov chains

27 maio 2019, 12:00 • Manuel Cabral Morais

4.8 Birth and death queueing systems in equilibrium (until the end of Subsection 4.8.1)

Exercises: 4.56(a, cont); 4.61, 4.64, 4.66, 4.68, 4.72, 4.75    

Chap. 4. Continuous time Markov chains

21 maio 2019, 14:30 • Manuel Cabral Morais

4.6 Classification of states

4.7 Limit behavior of CTMC

Exercises: 4.43(a)(b), 4.49(+Mathematica), 4.51, 4.52, 4.56(a);

Chap. 4. Continuous time Markov chains

20 maio 2019, 12:00 • Manuel Cabral Morais

4.5 Birth and death processes

Exercises: 4.23, 4.33, 4.34, 4.36 (hints); 

Chap. 4. Continuous time Markov chains

14 maio 2019, 14:30 • Manuel Cabral Morais

4.2 Properties of the transition matrix; Chapman-Kolmogorov equations (from exercise 3.12 until the end of the section)

4.3 Computing the transition matrix: finite state space

4.4 Computing the transition matrix: infinite state space

Exercises: 4.12, 4.15; 4.19; 4.20;