A method for sharing internal excess bandwidth between output and input termination modules of a switching network including a switch core fabric (FC) via which a plurality of input termination modules (ITM1 to ITMn) communicate with a plurality of output termination modules (OTM1 to OTMm) through at least a point-to-point transmission channels considered as corresponding each to a virtual ingress-to-egress pipe (VIEP). Sharing of internal excess bandwidth is obtained by successive steps including a minimum bandwidth request calculation step, each request being transmitted to an output termination module for obtaining a minimum bandwidth grant in return. The minimum bandwidth request and grant related to an input termination module linked by an ingress-to-egress pipe to an output termination module are both calculated for a determined number K of relative administrative weights corresponding each to a different quality of service, with a different request and a corresponding grant for every weight.
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