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 09717316833a7..05a848d7ed96e 100644
--- a/core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala
+++ b/core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala
@@ -1057,8 +1057,12 @@ class DAGScheduler(
     if (tasks.size > 0) {
       logInfo(s"Submitting ${tasks.size} missing tasks from $stage (${stage.rdd}) (first 15 " +
         s"tasks are for partitions ${tasks.take(15).map(_.partitionId)})")
+      def ordFunc(x: Task[_], y: Task[_]): Boolean = {
+        inputSizeFromShuffledRDD(stageIdToStage(x.stageId).rdd, x.partitionId) >
+        inputSizeFromShuffledRDD(stageIdToStage(y.stageId).rdd, y.partitionId)
+      }
       taskScheduler.submitTasks(new TaskSet(
-        tasks.toArray, stage.id, stage.latestInfo.attemptId, jobId, properties))
+        tasks.sortWith(ordFunc).toArray, stage.id, stage.latestInfo.attemptId, jobId, properties))
       stage.latestInfo.submissionTime = Some(clock.getTimeMillis())
     } else {
       // Because we posted SparkListenerStageSubmitted earlier, we should mark
@@ -1080,6 +1084,29 @@ class DAGScheduler(
     }
   }
 
+  private[scheduler] def inputSizeFromShuffledRDD(rdd: RDD[_], pId: Int): Long =
+  {
+    var ret = 0L
+    val waitingForVisit = new Stack[Tuple2[RDD[_], Int]]
+    if (getCacheLocs(rdd)(pId) == Nil) {
+      waitingForVisit.push((rdd, pId))
+    }
+    while(waitingForVisit.nonEmpty) {
+      val (rdd, split) = waitingForVisit.pop()
+      rdd.dependencies.foreach {
+        case dep: ShuffleDependency[_, _, _] =>
+          if (rdd.partitioner.isEmpty || rdd.partitioner == Some(dep.partitioner)) {
+            ret += mapOutputTracker.getStatistics(dep).bytesByPartitionId(split)
+          }
+        case dep: NarrowDependency[_] =>
+          dep.getParents(split).foreach {
+            case parentSplit => ret += inputSizeFromShuffledRDD(dep.rdd, parentSplit)
+          }
+      }
+    }
+    ret
+  }
+
   /**
    * Merge local values from a task into the corresponding accumulators previously registered
    * here on the driver.
diff --git a/core/src/test/scala/org/apache/spark/scheduler/DAGSchedulerSuite.scala b/core/src/test/scala/org/apache/spark/scheduler/DAGSchedulerSuite.scala
index a10941b579fe2..1f3ad99b2f803 100644
--- a/core/src/test/scala/org/apache/spark/scheduler/DAGSchedulerSuite.scala
+++ b/core/src/test/scala/org/apache/spark/scheduler/DAGSchedulerSuite.scala
@@ -2277,6 +2277,43 @@ class DAGSchedulerSuite extends SparkFunSuite with LocalSparkContext with Timeou
       (Success, 1)))
   }
 
+  test("Tasks should be in descending order by input size from ShuffledRDD.") {
+    val partitioner = new HashPartitioner(2)
+    val rddA = new MyRDD(sc, 2, Nil)
+    val shuffleDepA = new ShuffleDependency(rddA, partitioner)
+    val shuffleIdA = shuffleDepA.shuffleId
+
+    val rddB = new MyRDD(sc, 2, Nil)
+    val shuffleDepB = new ShuffleDependency(rddB, partitioner)
+    val shuffleIdB = shuffleDepB.shuffleId
+
+    val rddC = new MyRDD(sc, 2, List(shuffleDepA, shuffleDepB), tracker = mapOutputTracker)
+    submit(rddC, Array(0, 1))
+
+    def compressAndDecompress(sizes: Array[Long]): Array[Long] = {
+      sizes.map(size => MapStatus.decompressSize(MapStatus.compressSize(size)))
+    }
+    assert(taskSets(0).stageId === 0 && taskSets(0).stageAttemptId === 0)
+    complete(taskSets(0), Seq(
+      (Success, MapStatus(makeBlockManagerId("hostA"), compressAndDecompress(Array(10, 1000)))),
+      (Success, MapStatus(makeBlockManagerId("hostA"), compressAndDecompress(Array(100, 10000))))))
+    assert(taskSets(1).stageId === 1 && taskSets(1).stageAttemptId === 0)
+    complete(taskSets(1), Seq(
+      (Success, MapStatus(makeBlockManagerId("hostB"), compressAndDecompress(Array(20, 2000)))),
+      (Success, MapStatus(makeBlockManagerId("hostB"), compressAndDecompress(Array(200, 20000))))))
+
+    assert(taskSets(2).stageId === 2 && taskSets(2).stageAttemptId === 0)
+
+    // Tasks input size from shuffled RDD should be correct
+    assert(scheduler.inputSizeFromShuffledRDD(rddC, 0) ===
+      compressAndDecompress(Array(10, 100, 20, 200)).sum)
+    assert(scheduler.inputSizeFromShuffledRDD(rddC, 1) ===
+      compressAndDecompress(Array(1000, 10000, 2000, 20000)).sum)
+
+    // Tasks should be in descending order by input size from ShuffledRDD.
+    assert(taskSets(2).tasks(0).partitionId === 1 && taskSets(2).tasks(1).partitionId === 0)
+  }
+
   /**
    * Assert that the supplied TaskSet has exactly the given hosts as its preferred locations.
    * Note that this checks only the host and not the executor ID.
diff --git a/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala b/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
index 9ca6b8b0fe635..081d8ddeb9d19 100644
--- a/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
+++ b/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
@@ -180,7 +180,6 @@ class TaskSetManagerSuite extends SparkFunSuite with LocalSparkContext with Logg
     }
   }
 
-
   test("TaskSet with no preferences") {
     sc = new SparkContext("local", "test")
     sched = new FakeTaskScheduler(sc, ("exec1", "host1"))