A computer determines that a utilization level of a resource has satisfied a threshold. The computer scales the allocation of the resource to the furthest of the current allocation of the resource plus a parameter and of a historical limit. The computer determines if the scaled allocation of the resource is outside the historical limit and if so, sets the historical limit equal to the scaled allocation of the resource. The computer determines whether the scaling of the allocation of the resource will result in an allocation oscillation. The computer determines if the scaled allocation of the resource is outside a boundary parameter and if so, sets the allocation of the resource equal to the boundary parameter.