An export operator includes multiple parallel connections that service a group of operators in a streaming application, and outputs data on the multiple parallel connections to an import operator. Each data tuple output by the export operator includes an identification of which operator sent the data tuple to the export operator, and may also include an identification of missing data, if any. Providing an export operator with multiple parallel connections that can service a group of operators in parallel reduces the likelihood of having an export operator become a bottleneck to system performance.