In a publish/subscribe data processing broker network having a plurality of broker data processing apparatuses, each of which has an input for receiving published messages directly from a publisher application and/or receiving subscription data directly from a subscriber application, and each of which having a means for receiving a published message on a first topic and assigning a broker-specific sequence number to the received message; a first broker apparatus has: a software unit for determining a failure of a neighboring broker apparatus which has provided published messages on the first topic to the first broker apparatus; and a software unit for sending historic resubscriptions with respect to the first topic to each antecedent broker apparatus of the failed neighboring broker apparatus by using the broker-specific sequence number corresponding to each antecedent broker apparatus.