A method of processing a computing task required by wireless equipment of a cellular communication network, including classifying the task in at least one class of immediate offloaded execution and a class of immediate local execution, by traversing oriented graph decision nodes and terminal nodes each assigned to one of the classes, the decision nodes being distributed into at least three hierarchical levels themselves distributed into at least three subsets of levels. Traversal of the graph includes: during transit through any decision node of a first subset of levels, verification of a feasibility criterion for the offloading of the task for execution by third-party equipment; during transit through any decision node of a second subset of levels, verification of a criticality criterion for execution of the task, and during transit through any decision node of a third subset of levels, verification of an opportunity criterion for execution of the task.