Process of merging, within a logistics warehouse, k incoming flows of payloads, transported respectively by k aisles , in an outgoing flow of payloads, transported by a collector. The k aisles are of the FIFO type, distributed along the collector and numbered from a1 to ak in one direction of movement of the collector. is a temporal distance between aisles ai and ak. The method, carried out by a control system, comprises: obtaining an assembly L comprising n payloads distributed over the k aisles and to be injected into the collector to form an output sequence; calculation of a date t0 at which the first payload of the exit sequence passes in front of aisle ak; calculation of n injection dates of n payloads on the collector, as a function of t0; control of the manifold and the k aisles, for an injection of the payloads according to the injection dates. Figure for the abstract: Figure 46
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