There are several POMDP algorithms that may be the natural choice for policy generation (Sondik, 1971;Monahan, 1982;Parr and Russell, 1995;Cassandra et al., 1997;Kaelbling et al., 1998;Thrun, 1999).
solving real world dialogue scenarios is computationally in-tractable for full-blown POMDP solvers, as the complexity is doubly exponential in the number of states.