1. A material handling method of performing by an automatic mechanical material handling equipment controlled by a control system at least a first and a second access task for accessing respectively at least a first and at least a second article stored in a material handling storage system, the first and second access tasks having been assigned a first and a second execution priority respectively, the method comprising: a) controlling the automatic mechanical material handling equipment to perform the first access task having the highest priority; and in parallel to performing the first access task; a1) evaluating data indicative of the material handling storage system for determining that a first intermediate task is to be performed, wherein the first intermediate task is required in order to perform by the automatic mechanical material handling equipment the second access task; and a2) assigning an execution priority to the first intermediate task higher than the second execution priority; and b) controlling the automatic mechanical material handling equipment to perform at least the first intermediate task and the second access task according to the order of execution priorities, wherein the second access task comprises moving the second article from a first storage bin to a second storage bin, wherein the evaluating comprises: determining the movement path of the automatic mechanical material handling equipment along which the second article is to be moved to the second storage bin; using the data for determining that at least a third article is stored in a storage bin that it is on the movement path; and defining the first intermediate task as a task for moving the third article out of the movement path.