Systems and methods of scheduling tasks and managing computing resource allocation in a closed loop control system is provided. The system uses historical run-time statistics that includes expected run-time (μ) and standard-deviation (σ) in run-times, of the tasks. The run-time statistics are used by the system to first predictively allocate and then to order the execution of the tasks in order to minimize the make-span. The schedule predicted is a queue of tasks to be executed on each computing resource ordered by a function of the expected run-time (μ) and standard-deviation (σ). Reactive scheduling involves periodically probing the progress and reacting to imbalances in progress across computing resources by switching tasks between lagging and leading computing resources.