A method for scheduling message cells leaving an ATM node and belonging to virtual connections by means of an output controller allocated to each of the outputs of the ATM node is provided. Message cells to be transmitted via the respective output are stored in connection individual FIFO-queues. Two variables Ti, Si are allocated to each of the FIFO-queues, where Ti defines the distance between consecutive message cells of a virtual connection i served at the rate ri=1/Ti, and TSi denotes a time stamp for the message cell at the head of the FIFO-queue. A virtual time variable VT is provided. The peak cell rate is monitored individually for each of the virtual connections at the egress of the respective output controller. The FIFO-queue with the lowest time stamp serves for transmitting the message cell at the head of that FIFO-queue only when VT>TSi and the peak cell rate for the respective virtual connection is not exceeded. The time stamp for that FIFO-queue is updated if it is not empty with TSi.rarw.TSi+Ti after transmitting the message cell.
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