Sumários

Chap. 4. Continuous time Markov chains (aula online)

26 maio 2020, 14:30 Manuel Cabral Morais

4.8 Birth and death queueing systems in equilibrium

4.8.4 M/M/m, the m server case (from Exercise 4.88 until the end of the subsection)

4.8.5 M/M/m/m, the m–server loss system

Exercises: 4.88, Test2-11June2014-G3-E2(c), 4.92 (hints); 4.95, Test2-12June2019-G3-E2, Test2-24June2013-G3-E2


Chap. 4. Continuous time Markov chains (aula online)

25 maio 2020, 12:00 Manuel Cabral Morais

4.8 Birth and death queueing systems in equilibrium

4.8.2 M/M/1, the classical queueing system (from the table on page 251 until the end of the subsection)

4.8.3 The M/M/oo queueing system

4.8.4 M/M/m, the m server case (until the table of Exercise 4.87)

Exercises: EpEsp-21July2014-G6-E2, Test2-11June2014-G3-E2(a-b), 4.75; 4.79 (hints), 4.82, Exam-19July2013-G6-E2; Test2-10July2019-G6-E2


Chap. 4. Continuous time Markov chains (aula online)

19 maio 2020, 14:30 Manuel Cabral Morais

4.7 Limit behavior of CTMC (from balance eq. of birth-death processes until the end of the section)

4.8 Birth and death queueing systems in equilibrium

4.8.1 Performance measures

4.8.2 M/M/1, the classical queueing system (until Exercise 4.68)

Exercises: 4.51, 4.52, 4.56(a), Test2-11June2013-G3-E1(b); 4.61, 4.64, 4.66, 4.68    


Chap. 4. Continuous time Markov chains

18 maio 2020, 12:00 Manuel Cabral Morais

 4.5 Birth and death processes (from z-transform method until the end of the section)

4.6 Classification of states

4.7 Limit behavior of CTMC  (until Exercise 4.49)

Exercises: Test2-11June2014-G3-E1; —; 4.43(b+Mathematica), Test2-12July2019-G3-E1(c), 4.49(+Mathematica)


Chap. 4. Continuous time Markov chains (aula online)

12 maio 2020, 14:30 Manuel Cabral Morais

4.3 Computing the transition matrix: finite state space

4.4 Computing the transition matrix: infinite state space

4.5 Birth and death processes (until Exercise 4.33)

Exercises: 4.19; 4.20; 4.23, Test2-12June2019-G3-E1(b), Test2-1July2014-G3-E1(a-b), 4.33