A method of determining a multi-agent schedule includes defining a well-formed, non-preemptive task set that includes a plurality of tasks, with each task having at least one subtask. Each subtask is associated with at least one resource required for performing that subtask. In accordance with the method, an allocation, which assigns each task in the task set to an agent, is received and a determination is made, based on the task set and the allocation, as to whether a subtask in the task set is schedulable at a specific time. A system for implementing the method is also provided.
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