Course Weekly Lecture Plan

Week	Topic
1	Introduction, review of probability theory, important distributions, memoryless property
2	Review of random processes, Markov property, Renewal processes, independent increments, Poisson process
3	Discrete-time Markov chains, classification, properties, Chapman–Kolmogorov equations, steady-state solution
4	Continuous-time Markov chains, classification, properties, infinitesimal generators
5	Chapman–Kolmogorov equations for CTMCs, steady-state solution
6	Birth-death processes, global and detailed balance equations, M/M/1 system, Little's law
7	M/M/k system, M/M/k/k system, Erlang formulas
8	M/M/k/k/N system, Engset formula
9	Markov modulated Poisson process (MMPP), Markovian arrival process (MAP) arrivals, MAP/M/1 system
10	Phase-type service times, hyper-exponential, hypo-exponential, Erlang distributed service times, M/PH/1 system
11	Aloha systems (ordinary and slotted)
12	Special topics: IEEE 802.11 (Wi-Fi) DCF Bianchi model
13	Special topics: Introduction to Markov fluid queues
14	Special topics continued