diff --git a/ge/graph/passes/subgraph_const_migration_pass.cc b/ge/graph/passes/subgraph_const_migration_pass.cc
index f3a6b998..71463f4c 100644
--- a/ge/graph/passes/subgraph_const_migration_pass.cc
+++ b/ge/graph/passes/subgraph_const_migration_pass.cc
@@ -23,7 +23,7 @@ namespace ge {
 constexpr uint32_t kZeroIndex = 0;
 constexpr uint32_t kCaseInputBase = 1;
 constexpr uint32_t kInvalidParent = 0x7fffffffU;
-const char *const kMbatchNodeNameMark = "_ascend_mbatch_batch_";
+const string kMbatchNodeNameMark = "_ascend_mbatch_batch_";
 
 bool IsSameConstNode(const NodePtr &src_node, const NodePtr &dst_node) {
   if ((src_node == nullptr) && (dst_node == nullptr)) {
@@ -164,11 +164,16 @@ Status SubgraphConstMigrationPass::ClassifyGraphNodes(const ComputeGraphPtr &gra
           string node_full_name = peer_node->GetName();
           size_t pos = node_full_name.find(kMbatchNodeNameMark);
           if (pos == string::npos) {
-            GELOGE(FAILED, "Cannot find: %s of multi-batch in node: %s", kMbatchNodeNameMark, node_full_name.c_str());
+            GELOGE(FAILED, "find: %s of multi-batch in node: %s", kMbatchNodeNameMark.c_str(), node_full_name.c_str());
             return FAILED;
           }
 
           string fixed_name = node_full_name.substr(0, pos);
+          pos = node_full_name.find("_", pos + kMbatchNodeNameMark.length());
+          if (pos != string::npos) {
+            fixed_name += node_full_name.substr(pos);
+          }
+
           peer_name_list.insert(fixed_name + ":" + std::to_string(in_anchor->GetIdx()));
         }
 
@@ -336,14 +341,19 @@ Status SubgraphConstMigrationPass::AppendParallelNode(const NodePtr &func_node,
 /// @param [in] outputs: Parent index of Node output.
 /// @return 0: SUCCESS / others: FAILED
 ///
-Status SubgraphConstMigrationPass::DetachParallelNode(const map<string, NodePtr> &const_nodes,
+Status SubgraphConstMigrationPass::DetachParallelNode(const ComputeGraphPtr &graph,
+                                                      const map<string, NodePtr> &const_nodes,
                                                       const NodePtr &const_node, const NodePtr &data_node) {
   // Break Data and Move node.
   const auto &in_anchor = const_node->GetInControlAnchor();
   const auto out_anchors = in_anchor->GetPeerOutControlAnchors();
   for (const auto out_anchor : out_anchors) {
     GE_CHK_GRAPH_STATUS_RET(GraphUtils::RemoveEdge(out_anchor, in_anchor), "Remove edge failed");
-    GELOGI("Remove Edge: %s %s", out_anchor->GetOwnerNode()->GetName().c_str(), const_node->GetName().c_str());
+    const auto owner_node = out_anchor->GetOwnerNode();
+    GELOGI("Remove Edge: %s %s", owner_node->GetName().c_str(), const_node->GetName().c_str());
+    if (owner_node->GetInAllNodes().empty() && owner_node->GetOutAllNodes().empty()) {
+      graph->RemoveNode(owner_node);
+    }
   }
 
   const auto &ctrl_anchor = const_node->GetOutControlAnchor();
@@ -454,7 +464,7 @@ Status SubgraphConstMigrationPass::MoveNodeToParent(const ComputeGraphPtr &graph
       return FAILED;
     }
 
-    if (DetachParallelNode(item.second, move_node, it_data->second) != SUCCESS) {
+    if (DetachParallelNode(subgraph, item.second, move_node, it_data->second) != SUCCESS) {
       GELOGE(FAILED, "Data: %s not found, index: %u", move_node->GetName().c_str(), parent_index);
       return FAILED;
     }
diff --git a/ge/graph/passes/subgraph_const_migration_pass.h b/ge/graph/passes/subgraph_const_migration_pass.h
index 66c0011c..323be0ff 100755
--- a/ge/graph/passes/subgraph_const_migration_pass.h
+++ b/ge/graph/passes/subgraph_const_migration_pass.h
@@ -119,8 +119,8 @@ class SubgraphConstMigrationPass : public GraphPass {
   /// @param [in] outputs: Parent index of Node output.
   /// @return 0: SUCCESS / others: FAILED
   ///
-  Status DetachParallelNode(const map<string, NodePtr> &const_nodes, const NodePtr &const_node,
-                            const NodePtr &data_node);
+  Status DetachParallelNode(const ComputeGraphPtr &graph, const map<string, NodePtr> &const_nodes,
+                            const NodePtr &const_node, const NodePtr &data_node);
 
   ///
   /// @ingroup ge