public com.google.protobuf.Timestamp.Builder getOldestEstimatedArrivalTimeBuilder() {
      bitField0_ |= 0x00000002;
      onChanged();
      return getOldestEstimatedArrivalTimeFieldBuilder().getBuilder();
    }
<pre>
Output only. An estimation of the nearest time in the future where a task
in the queue is scheduled to be executed.
</pre>

<code>
.google.protobuf.Timestamp oldest_estimated_arrival_time = 2 [(.google.api.field_behavior) = OUTPUT_ONLY];
</code>
java-tasks/proto-google-cloud-tasks-v2beta2/src/main/java/com/google/cloud/tasks/v2beta2/QueueStats.java