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, wherein a third access task for accessing a third article is assigned a lower execution priority than the second execution priority, wherein the second access task comprises an initialization and an execution phase, the method further comprising: in parallel to performing the second access task evaluating the data for determining that a second intermediate task is to be performed before the third access task; determining that the second intermediate task is dependent of the first intermediate task such that the second intermediate task is to be performed after the first intermediate task and before the second access task and assigning an execution priority to the second intermediate task accordingly; in case the second access task is in the initialization phase pausing the automatic mechanical handling equipment; and re-controlling the automatic mechanical material handling equipment to resume and to further perform the second intermediate task, the second and third access tasks according to the order of execution of priorities.