Rebuild prioritization during a plurality of concurrent data object write operations

A computer readable memory comprises:

• a first memory section that stores operational instructions that, when executed by a computing device of a dispersed storage network (DSN), causes the computing device to:
• receive a plurality of data objects at substantially the same time for storage in the DSN;
• determine a priority level for each of at least some of the plurality of data objects to produce a plurality of priority levels;
• based on the plurality of priority levels, establish a write threshold for encoding each of at least some of the plurality of data objects to produce a plurality of write thresholds;
• dispersed storage error encode the plurality of data objects to produce pluralities of sets of encoded data slices, wherein a data object of the plurality of data objects is encoded into a plurality of sets of encoded data slices of the pluralities of sets of encoded data slices;
• and
• execute a plurality of write operations to store the pluralities of sets of encoded data slices in storage units of the DSN in accordance with the plurality of write thresholds;
• a second memory section that stores operational instructions that, when executed by a rebuilding detection module of the DSN, causes the rebuilding detection module to:
• during the execution of the write operations, identify encoded data slices of the pluralities of sets of encoded data slices that were not properly stored;
• and
• determine rebuild priority of each of the encoded data slices based on a corresponding one of the plurality of priority levels and a level of write success of a corresponding set of encoded data slices of the pluralities of sets of encoded data slices to produce a plurality of rebuild priorities;
• and
• a third memory section that stores operational instructions that, when executed by a rebuilding module of the DSN, causes the rebuilding module to:
• rebuild at least some of the encoded data slices based on the plurality of rebuild priorities.