eng Solving stochastic programs with integer recourse by enumeration : A framework using Gröbner basis reductions Schultz, Rüdiger Stougie, Leen van der Vlerk, Maarten H. Article info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 1998 Stochastic programming Integer recourse Algorithm Gröbner basis Mathematical Programming http://ddd.uab.cat/record/173 00255610v83n2p229 In this paper we present a framework for solving stochastic programs with complete integer recourse and discretely distributed right-hand side vector, using Gröbner basis methods from computational algebra to solve the numerous second-stage integer programs. Using structural properties of the expected integer recourse function, we prove that under mild conditions an optimal solution is contained in a finite set. Furthermore, we present a basic scheme to enumerate this set and suggest improvements to reduce the number of function evaluations needed..