diff --git a/core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala b/core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala
index ecb8ac0121459..dcb5e2f7a9b01 100644
--- a/core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala
+++ b/core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala
@@ -693,6 +693,11 @@ private[spark] class DAGScheduler(
 
     val jobId = nextJobId.getAndIncrement()
     if (partitions.size == 0) {
+      val time = clock.getTimeMillis()
+      listenerBus.post(
+        SparkListenerJobStart(jobId, time, Seq[StageInfo](), properties))
+      listenerBus.post(
+        SparkListenerJobEnd(jobId, time, JobSucceeded))
       // Return immediately if the job is running 0 tasks
       return new JobWaiter[U](this, jobId, 0, resultHandler)
     }
diff --git a/core/src/main/scala/org/apache/spark/status/AppStatusListener.scala b/core/src/main/scala/org/apache/spark/status/AppStatusListener.scala
index 1067cdc84ceb2..a841b91bdcf58 100644
--- a/core/src/main/scala/org/apache/spark/status/AppStatusListener.scala
+++ b/core/src/main/scala/org/apache/spark/status/AppStatusListener.scala
@@ -319,7 +319,7 @@ private[spark] class AppStatusListener(
     }
 
     val lastStageInfo = event.stageInfos.sortBy(_.stageId).lastOption
-    val lastStageName = lastStageInfo.map(_.name).getOrElse("(Unknown Stage Name)")
+    val jobName = lastStageInfo.map(_.name).getOrElse("")
     val jobGroup = Option(event.properties)
       .flatMap { p => Option(p.getProperty(SparkContext.SPARK_JOB_GROUP_ID)) }
     val sqlExecutionId = Option(event.properties)
@@ -327,7 +327,7 @@ private[spark] class AppStatusListener(
 
     val job = new LiveJob(
       event.jobId,
-      lastStageName,
+      jobName,
       if (event.time > 0) Some(new Date(event.time)) else None,
       event.stageIds,
       jobGroup,
diff --git a/core/src/main/scala/org/apache/spark/ui/UIUtils.scala b/core/src/main/scala/org/apache/spark/ui/UIUtils.scala
index 967435030bc4d..54f2750831d64 100644
--- a/core/src/main/scala/org/apache/spark/ui/UIUtils.scala
+++ b/core/src/main/scala/org/apache/spark/ui/UIUtils.scala
@@ -363,7 +363,8 @@ private[spark] object UIUtils extends Logging {
       skipped: Int,
       reasonToNumKilled: Map[String, Int],
       total: Int): Seq[Node] = {
-    val completeWidth = "width: %s%%".format((completed.toDouble/total)*100)
+    val ratio = if (total == 0) 100.0 else (completed.toDouble/total)*100
+    val completeWidth = "width: %s%%".format(ratio)
     // started + completed can be > total when there are speculative tasks
     val boundedStarted = math.min(started, total - completed)
     val startWidth = "width: %s%%".format((boundedStarted.toDouble/total)*100)
diff --git a/core/src/main/scala/org/apache/spark/ui/jobs/StagePage.scala b/core/src/main/scala/org/apache/spark/ui/jobs/StagePage.scala
index 2c94853f312e7..e399f7ee1920f 100644
--- a/core/src/main/scala/org/apache/spark/ui/jobs/StagePage.scala
+++ b/core/src/main/scala/org/apache/spark/ui/jobs/StagePage.scala
@@ -857,8 +857,13 @@ private[spark] object ApiHelper {
   }
 
   def lastStageNameAndDescription(store: AppStatusStore, job: JobData): (String, String) = {
-    val stage = store.asOption(store.stageAttempt(job.stageIds.max, 0)._1)
-    (stage.map(_.name).getOrElse(""), stage.flatMap(_.description).getOrElse(job.name))
+    // Some jobs have only 0 partitions.
+    if (job.stageIds.isEmpty) {
+      ("", job.name)
+    } else {
+      val stage = store.asOption(store.stageAttempt(job.stageIds.max, 0)._1)
+      (stage.map(_.name).getOrElse(""), stage.flatMap(_.description).getOrElse(job.name))
+    }
   }
 
 }