1. A material handling method of performing by means of 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; 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.