This volume contains papers presented during a four-day workshop that took place at Rutgers University from 29 April to 2 May, 1991. The purpose of this workshop was to promote interaction among specialists in the areas of applied stochastic analysis by providing an up-to-date picture of current issues and outstanding problems. The topics covered include singular stochastic control, queuing networks, the mathematical theory of stochastic optimization and filtering, adaptive control and the estimation for random fields and its connections with simulated annealing, statistical mechanics and combinational optimization.