  This paper addresses the air traffic flow management research problem of
determining reroute, ground delay and air delay for flights using stochastic
weather forecast information. The overall goal is to minimize system-wide
reroute and delay costs. This problem is a primary concern in United States and
especially in its northeastern region, and is also the key in enhancing the
performance of the new FAA Traffic Management Initiative called Collaborative
Trajectory Options Program (CTOP). In this work we present six stochastic
integer programming models, including two two-stage models and four multistage
models, which are based on a notable strong deterministic flight-by-flight
level traffic flow formulation and an aggregate Eulerian traffic flow
formulation. Our preliminary numerical results show that completely integer
solutions can be achieved from linear relaxation, for all proposed models and
for both no-route and reroute cases.
