T2 is a rational and rigorous bicriterion traffic assignment model developed around a stochastic linear generalized cost model, which forecasts path choices and consequent equilibrium link volumes of trip makers with diverse values of time. Its path choice criterion minimizes a disutility equaling a stochastic sum of two link attributes--usually time and cost--both of which may be flow dependent. In contrast with the classical traffic assignment model, T2 permits different travelers to respond differently (as a result of factors such as travel time, tolls, congestion, taste, etc.) to the same path choices. This research provides an overview of T2's mathematical model, solution algorithm, and implementing software.