An Adaptive Stochastic Queueing device comprises a process that maintains a plurality of queues defined around the known and changing resource usage history of an ensemble of customers, customers seeking access to a resource. Applying a stochastic approach that reflects the history of each customer in reference to the ensemble history, the queues intercept and sort customers. A stochastic sequencer sequences customers from the queues to the resource in a manner that selectively promotes customers in a manner attuned to the application using the device.