Precedence Constraint Posting for the RCPSP with Uncertain, Bounded Durations

The Resource Constrained Project Scheduling Problem is an important problem in project management, manufacturing and resource optimization. We focus on a variant of RCPSP with time lags and uncertain activity durations. We adopt a Precedence Constraint Posting approach and add precedence constraints to the original project graph so that all resource conflicts are solved and a consistent assignment of start times can be computed for whatever combination of activity durations. We propose a novel method for computing resource conflicts based on the minimum flow on the resource graph and we use it in an efficient complete search strategy. We test the approach on instances coming from the scheduling of parallel applications on multi processor systems on chip.