(6.262) ![______](http://student.mit.edu/icns/hr.gif) ![Not offered academic year 2023-2024](http://student.mit.edu/icns/nonext.gif "Not offered academic year 2023-2024")![Graduate](http://student.mit.edu/icns/grad.gif "Graduate") (![Spring](http://student.mit.edu/icns/spring.gif "Spring")) Prereq: [6.3702](http://student.mit.edu/catalog/m6c.html#6.3702) or [18.204](http://student.mit.edu/catalog/m18a.html#18.204) Units: 4-0-8 **Lecture:** _MW9.30-11_ ([34-301](http://whereis.mit.edu/map-jpg?mapterms=34)) ![______](http://student.mit.edu/icns/hr.gif) Review of probability and laws of large numbers; Poisson counting process and renewal processes; Markov chains (including Markov decision theory), branching processes, birth-death processes, and semi-Markov processes; continuous-time Markov chains and reversibility; random walks, martingales, and large deviations; applications from queueing, communication, control, and operations research. _V. Chan_