diff --git a/colossalai/context/moe_context.py b/colossalai/context/moe_context.py
index b36b88455..0879f5fd2 100644
--- a/colossalai/context/moe_context.py
+++ b/colossalai/context/moe_context.py
@@ -55,7 +55,6 @@ class MoeContext(metaclass=SingletonMeta):
         return self.has_setup
 
     def setup(self, seed: int, use_kernel_optim: bool = True):
-
         assert not self.is_initialized, "MoE distributed context shouldn't be set up again"
         _check_sanity()
         assert torch.cuda.is_available(), "MoE requires to enable CUDA first"
@@ -93,8 +92,8 @@ class MoeContext(metaclass=SingletonMeta):
         gt_flag = num_experts % self.max_ep_size == 0    # check whether num_experts is greater
         lt_flag = self.max_ep_size % num_experts == 0    # check whether num_experts is less
 
-        assert gt_flag or lt_flag, "Automatic experts placement dose not not support expert number"\
-                            " is not a multiple of ep size or vice versa."
+        assert gt_flag or lt_flag, "Automatic experts placement dose not not support expert number" \
+                                   " is not a multiple of ep size or vice versa."
 
         # If the number of experts is greater than maximum expert parallel size. a.k.a ep_size,
         # there are multiple experts in each GPU and each GPU has different experts
diff --git a/colossalai/gemini/chunk/chunk.py b/colossalai/gemini/chunk/chunk.py
index e02d14055..648d48ec5 100644
--- a/colossalai/gemini/chunk/chunk.py
+++ b/colossalai/gemini/chunk/chunk.py
@@ -51,6 +51,8 @@ def alloc_storage(tensor: torch.Tensor) -> None:
 
 class Chunk:
 
+    _total_number = 0
+
     def __init__(self,
                  chunk_size: int,
                  process_group: ColoProcessGroup,
@@ -73,6 +75,8 @@ class Chunk:
             keep_gathered (bool): optional, if True, this chunk is always gathered in CUDA memory
             pin_memory (bool): optional, if True, this chunk always has a shard copied in pinned CPU memory
         """
+        self.count_id = Chunk._total_number
+        Chunk._total_number += 1
 
         self.chunk_size = chunk_size
         self.utilized_size = 0
diff --git a/colossalai/gemini/chunk/manager.py b/colossalai/gemini/chunk/manager.py
index 2d75dcce5..4a2474a63 100644
--- a/colossalai/gemini/chunk/manager.py
+++ b/colossalai/gemini/chunk/manager.py
@@ -28,7 +28,7 @@ class ChunkManager:
         self.chunk_groups: Dict[str, Deque] = dict()
         self.tensor_chunk_map: Dict[torch.Tensor, Chunk] = dict()
         self.accessed_chunks: Set[Chunk] = set()
-        self.lazy_release_tensors: List[torch.Tensor] = list()
+        self.accessed_mem: int = 0
         self.total_mem: Dict[str, int] = {'cpu': 0, 'cuda': 0}
 
     def append_tensor(self, tensor: ColoTensor, group_type: str, config_key: int, pin_memory: bool = False) -> None:
@@ -91,9 +91,8 @@ class ChunkManager:
         self.__sub_memroy_usage(chunk.memory_usage)
         if chunk.device_type == 'cpu':
             chunk.shard_move(get_current_device())
-        chunk.access_chunk()
+        self.__add_accessed_chunk(chunk)
         self.__add_memory_usage(chunk.memory_usage)
-        self.accessed_chunks.add(chunk)
 
     def release_chunk(self, chunk: Chunk) -> None:
         """Scatter the chunk in CUDA.
@@ -102,9 +101,8 @@ class ChunkManager:
             return
         if chunk.can_release:
             self.__sub_memroy_usage(chunk.memory_usage)
-            chunk.release_chunk()
+            self.__sub_accessed_chunk(chunk)
             self.__add_memory_usage(chunk.memory_usage)
-            self.accessed_chunks.remove(chunk)
 
     def move_chunk(self, chunk: Chunk, device: torch.device, force_copy: bool = False) -> None:
         """Move the shard of the chunk to the target device.
@@ -128,6 +126,7 @@ class ChunkManager:
             return False
         self.__sub_memroy_usage(chunk.memory_usage)
         chunk.reduce()
+        self.__sub_accessed_chunk(chunk)
         self.__add_memory_usage(chunk.memory_usage)
         return True
 
@@ -151,31 +150,15 @@ class ChunkManager:
         """
         return self.tensor_chunk_map[tensor]
 
-    def add_lazy_release_tensors(self, tensors: List[torch.Tensor]) -> None:
+    def get_cuda_movable_chunks(self) -> List[Chunk]:
         """
-        Add tensors to the buffer for lazy release.
-
-        Args:
-            tensors (List[torch.Tensor]): the tensors to be released lazily
+        Get all chunks that can be moved.
         """
-        self.lazy_release_tensors.extend(tensors)
-
-    def exec_lazy_release(self) -> None:
-        """
-        Execute release for tensors added to the lazy release buffer.
-        """
-
-        for chunk in self.get_chunks(self.lazy_release_tensors):
-            self.release_chunk(chunk)
-        self.lazy_release_tensors.clear()
-
-    def get_cuda_movable_chunks(self, group_type: str) -> List[Chunk]:
         chunk_list = []
-        for group_name in self.chunk_groups:
-            if group_type in group_name:
-                for chunk in self.chunk_groups[group_name]:
-                    if chunk.device_type == 'cuda' and chunk.can_move:
-                        chunk_list.append(chunk)
+        for chunk in self.accessed_chunks:
+            if chunk.can_release:
+                chunk_list.append(chunk)
+        chunk_list.sort(key=lambda x: x.count_id)
         return chunk_list
 
     def get_chunks(self, tensors: Iterable[torch.Tensor]) -> Tuple[Chunk, ...]:
@@ -235,3 +218,13 @@ class ChunkManager:
     def __add_memory_usage(self, usage: Dict[str, int]):
         for k, v in usage.items():
             self.total_mem[k] += v
+
+    def __add_accessed_chunk(self, chunk: Chunk):
+        chunk.access_chunk()
+        self.accessed_chunks.add(chunk)
+        self.accessed_mem += chunk.chunk_mem
+
+    def __sub_accessed_chunk(self, chunk: Chunk):
+        chunk.release_chunk()
+        self.accessed_chunks.remove(chunk)
+        self.accessed_mem -= chunk.chunk_mem
diff --git a/colossalai/gemini/gemini_mgr.py b/colossalai/gemini/gemini_mgr.py
index 0bdddd9a7..6d6b7425c 100644
--- a/colossalai/gemini/gemini_mgr.py
+++ b/colossalai/gemini/gemini_mgr.py
@@ -56,14 +56,14 @@ class GeminiManager:
         self._evict_time = 0
         self._comp_cuda_demand_time = 0
 
-    def adjust_layout(self, chunks: Tuple[Chunk, ...], group_type: str) -> None:
+    def adjust_layout(self, chunks: Tuple[Chunk, ...]) -> None:
         """ Adjust the layout of statefuil tensor according to the information provided
         by mem_stats_collector, which should belongs to a Sharded Model.
         """
         # find stateful tensor in state COMPUTE
         start = time()
         self._record_chunks_order(chunks)
-        cuda_demand, hold_cuda_tensor_list = self._get_layout_info(self._compute_idx, self._warmup, chunks, group_type)
+        cuda_demand, hold_cuda_tensor_list = self._get_layout_info(self._compute_idx, self._warmup, chunks)
         self._layout_time += time() - start
 
         vol, evict_time = self._placement_policy.evict_tensors(can_evict_chunks=hold_cuda_tensor_list,
@@ -78,7 +78,7 @@ class GeminiManager:
         self._h2d_volume += cuda_demand
 
     @functools.lru_cache(maxsize=None)
-    def _get_layout_info(self, compute_idx: int, warmup: bool, chunks: Tuple[Chunk, ...], group_type: str):
+    def _get_layout_info(self, compute_idx: int, warmup: bool, chunks: Tuple[Chunk, ...]):
         start = time()
         cuda_demand = 0
         for chunk in chunks:
@@ -93,7 +93,7 @@ class GeminiManager:
                 raise RuntimeError
         self._comp_cuda_demand_time += time() - start
 
-        can_evict_chunks = self._chunk_manager.get_cuda_movable_chunks(group_type)
+        can_evict_chunks = self._chunk_manager.get_cuda_movable_chunks()
         return cuda_demand, can_evict_chunks
 
     def _record_chunks_order(self, chunks: Tuple[Chunk, ...]) -> None:
diff --git a/colossalai/gemini/placement_policy.py b/colossalai/gemini/placement_policy.py
index 1a7e172ed..ab1988b11 100644
--- a/colossalai/gemini/placement_policy.py
+++ b/colossalai/gemini/placement_policy.py
@@ -36,8 +36,9 @@ class CPUPlacementPolicy(PlacementPolicy):
         volume = 0
         start = time()
         for chunk in can_evict_chunks:
+            self.chunk_manager.release_chunk(chunk)
             self.chunk_manager.move_chunk(chunk, torch.device('cpu'))
-            volume += chunk.shard_mem
+            volume += chunk.chunk_mem
         return volume, time() - start
 
 
@@ -116,8 +117,9 @@ class AutoPlacementPolicy(PlacementPolicy):
                 if freed_cuda_model_data >= to_free_cuda_model_data:
                     break
 
+                self.chunk_manager.release_chunk(chunk)
                 self.chunk_manager.move_chunk(chunk, torch.device('cpu'))
-                freed_cuda_model_data += chunk.shard_mem
+                freed_cuda_model_data += chunk.chunk_mem
             if freed_cuda_model_data < to_free_cuda_model_data:
                 raise RuntimeError(f"Adjust layout failed! No enough CUDA memory! "
                                    f"Need {to_free_cuda_model_data}, freed {freed_cuda_model_data}")
@@ -147,11 +149,74 @@ class AutoPlacementPolicy(PlacementPolicy):
         AutoPlacementPolicy._steady_cuda_cap_ratio = ratio
 
 
+class ConstPlacementPolicy(PlacementPolicy):
+
+    need_mem_stats: bool = False
+    _accessed_memory_boundary = 512 * 1024**2
+
+    def __init__(self, chunk_manager: ChunkManager, mem_stats_collector: Optional[MemStatsCollectorV2] = None) -> None:
+        super().__init__(chunk_manager, mem_stats_collector=mem_stats_collector)
+
+    def evict_tensors(self,
+                      can_evict_chunks: List[Chunk],
+                      cuda_demand: int = 0,
+                      warmup: bool = True,
+                      compute_list: Optional[List[Tuple[Chunk, ...]]] = None,
+                      compute_idx: int = 0,
+                      **kwargs) -> Tuple[int, float]:
+        """
+        See the docstrings in the class `AutoPlacementPolicy`.
+        """
+        start = time()
+        used_accessed_memory = self.chunk_manager.accessed_mem
+        avail_accessed_memory = ConstPlacementPolicy._accessed_memory_boundary - used_accessed_memory
+        freed_accessed_memory = 0
+
+        if avail_accessed_memory < cuda_demand:
+            to_free_memory = cuda_demand - avail_accessed_memory
+            to_free_chunks = can_evict_chunks
+
+            if not warmup:
+                # sort all chunks
+                to_free_chunks = self._sort_can_evict_chunks(tuple(to_free_chunks), compute_idx, tuple(compute_list))
+
+            for chunk in to_free_chunks:
+                if freed_accessed_memory >= to_free_memory:
+                    break
+
+                self.chunk_manager.release_chunk(chunk)
+                self.chunk_manager.move_chunk(chunk, torch.device('cpu'))
+                freed_accessed_memory += chunk.chunk_mem
+
+            if freed_accessed_memory < to_free_memory:
+                raise RuntimeError(f"Adjust layout failed! No enough CUDA memory! "
+                                   f"Need {to_free_memory}, freed {freed_accessed_memory}")
+        return freed_accessed_memory, time() - start
+
+    @staticmethod
+    @functools.lru_cache(maxsize=None)
+    def _sort_can_evict_chunks(can_evict_chunks: tuple, compute_idx: int, compute_list: tuple) -> list:
+        next_compute_idx = {chunk: len(compute_list) for chunk in can_evict_chunks}
+        for i in range(len(compute_list) - 1, compute_idx, -1):
+            for chunk in compute_list[i]:
+                if chunk in next_compute_idx:
+                    next_compute_idx[chunk] = i
+        next_compute_idx = sorted(next_compute_idx.items(), key=lambda pair: pair[1], reverse=True)
+        return [t for (t, idx) in next_compute_idx]
+
+    @staticmethod
+    def set_const_memory_boundary(cuda_memory_mb: int) -> None:
+        boundary = int(cuda_memory_mb * 1024**2)
+        assert boundary > 0
+        ConstPlacementPolicy._accessed_memory_boundary = boundary
+
+
 class PlacementPolicyFactory:
     policies: Dict[str, Type[PlacementPolicy]] = {
         'cpu': CPUPlacementPolicy,
         'cuda': CUDAPlacementPolicy,
-        'auto': AutoPlacementPolicy
+        'auto': AutoPlacementPolicy,
+        'const': ConstPlacementPolicy
     }
 
     @staticmethod
diff --git a/colossalai/nn/parallel/data_parallel.py b/colossalai/nn/parallel/data_parallel.py
index daa4cb15e..5bce81708 100644
--- a/colossalai/nn/parallel/data_parallel.py
+++ b/colossalai/nn/parallel/data_parallel.py
@@ -224,14 +224,16 @@ class ZeroDDP(ColoDDP):
         # TODO: get param order and filter unused params
         for p in module.parameters():
             assert isinstance(p, ColoParameter)
+
             if getattr(p, '_ddp_to_ignore', False):
-                p.data = p.half()
+                p.data = p.data.half()
                 continue
 
-            dp_world_size = p.process_group.dp_world_size()
-            fp32_data = p.float().data
-            p.data = p.half()
+            fp32_data = p.data.float()
             fp32_p = ColoTensor(fp32_data, spec=ColoTensorSpec(p.process_group))
+            p.data = p.data.half()
+
+            dp_world_size = p.process_group.dp_world_size()
             self.chunk_manager.append_tensor(p, 'fp16_param', dp_world_size, pin_memory)
             self.chunk_manager.append_tensor(fp32_p, 'fp32_param', dp_world_size, pin_memory)
             self.fp32_params.append(fp32_p)
@@ -253,7 +255,6 @@ class ZeroDDP(ColoDDP):
         self.gemini_manager.pre_iter()
         with ParamOpHookManager.use_hooks(self.param_op_hook):
             outputs = self.module(*args, **kwargs)
-        self.chunk_manager.exec_lazy_release()
         if self.force_outputs_fp32:
             return _cast_float(outputs, torch.float)
         return outputs
@@ -265,7 +266,7 @@ class ZeroDDP(ColoDDP):
             p.grad = None
 
     def _post_backward(self):
-        self.chunk_manager.exec_lazy_release()
+        assert self.chunk_manager.accessed_mem == 0
         self._setup_grads_ptr()
         self._logger.debug(
             f'comp cuda demand time: {self.gemini_manager._comp_cuda_demand_time}, layout time: {self.gemini_manager._layout_time}, evict time: {self.gemini_manager._evict_time}, CPU->CUDA vol: {self.gemini_manager._h2d_volume}B, CUDA->CPU vol: {self.gemini_manager._d2h_volume}'
diff --git a/colossalai/utils/model/colo_init_context.py b/colossalai/utils/model/colo_init_context.py
index a54740221..3824d27f6 100644
--- a/colossalai/utils/model/colo_init_context.py
+++ b/colossalai/utils/model/colo_init_context.py
@@ -33,7 +33,10 @@ def ColoModulize(module):
 
 class ColoInitContext(InsertPostInitMethodToModuleSubClasses):
 
-    def __init__(self, lazy_memory_allocate: bool = False, device: torch.device = torch.device('cpu')):
+    def __init__(self,
+                 lazy_memory_allocate: bool = False,
+                 device: torch.device = torch.device('cpu'),
+                 dtype: torch.dtype = torch.float):
         """
         Args:
             lazy_memory_allocate (bool, optional): whether to allocate memory for the parameter tensors. Defaults to False.
@@ -42,6 +45,7 @@ class ColoInitContext(InsertPostInitMethodToModuleSubClasses):
         super().__init__()
         self._lazy_memory_allocate = lazy_memory_allocate
         self._device = device
+        self._dtype = dtype
 
         self._register_colo_modules()
 
@@ -87,7 +91,8 @@ class ColoInitContext(InsertPostInitMethodToModuleSubClasses):
                 # detaching tensor is necessary for optimizers.
                 requires_grad = param.requires_grad
                 # TODO(jiaruifang) we initialize a Default PG memory
-                colo_param = ColoParameter(param.to(self._device), requires_grad=requires_grad)
+                colo_param = ColoParameter(param.to(device=self._device, dtype=self._dtype),
+                                           requires_grad=requires_grad)
                 # add mapping record
                 replaced_tensors[param] = colo_param
             delattr(submodule, param_name)
diff --git a/colossalai/zero/utils/zero_hook_v2.py b/colossalai/zero/utils/zero_hook_v2.py
index 3f3472f0e..584a0fe37 100644
--- a/colossalai/zero/utils/zero_hook_v2.py
+++ b/colossalai/zero/utils/zero_hook_v2.py
@@ -26,9 +26,8 @@ class ZeROHookV2(ParamOpHook):
         chunks = self._chunk_manager.get_chunks(params)
         for p in params:
             self._chunk_manager.trans_tensor_state(p, TensorState.COMPUTE)
-        self._chunk_manager.exec_lazy_release()
         self._gemini_manager.sample_overall_data()
-        self._gemini_manager.adjust_layout(chunks, 'fp16_param')
+        self._gemini_manager.adjust_layout(chunks)
         for chunk in chunks:
             self._chunk_manager.access_chunk(chunk)
         self._gemini_manager.sample_model_data()
@@ -38,7 +37,6 @@ class ZeROHookV2(ParamOpHook):
         for p in params:
             tensor_state = TensorState.HOLD if self._training_phase == TrainingPhase.FORWARD or not p.requires_grad else TensorState.HOLD_AFTER_BWD
             self._chunk_manager.trans_tensor_state(p, tensor_state)
-        self._chunk_manager.add_lazy_release_tensors(params)
 
     def pre_forward(self, params: List[torch.Tensor]) -> None:
         self.pre_op(params)
diff --git a/tests/test_gemini/update/test_fwd_bwd.py b/tests/test_gemini/update/test_fwd_bwd.py
index 6bd25c0be..4b9694c0d 100644
--- a/tests/test_gemini/update/test_fwd_bwd.py
+++ b/tests/test_gemini/update/test_fwd_bwd.py
@@ -11,18 +11,14 @@ from functools import partial
 from tests.test_tensor.common_utils import tensor_equal, set_seed, tensor_shard_equal
 from tests.components_to_test.registry import non_distributed_component_funcs
 from torch.nn.parallel import DistributedDataParallel as DDP
+from colossalai.gemini.chunk import search_chunk_configuration, ChunkManager
 from colossalai.nn.parallel import ZeroDDP
-from colossalai.nn.optimizer import HybridAdam
-from colossalai.zero import ZeroOptimizer
 from colossalai.testing import parameterize
 from colossalai.amp import convert_to_apex_amp
 from colossalai.gemini.gemini_mgr import GeminiManager
-from colossalai.tensor import ColoTensorSpec, ShardSpec, ComputePattern, ComputeSpec, ProcessGroup, ColoTensor
+from colossalai.tensor import ProcessGroup
 from tests.test_tensor.common_utils import debug_print
 
-from time import time
-from colossalai.gemini.chunk import search_chunk_configuration, ChunkManager
-
 
 def check_grad(model: ZeroDDP, torch_model: torch.nn.Module):
     chunk_manager = model.chunk_manager
@@ -44,7 +40,7 @@ def run_fwd_bwd(model, criterion, optimizer, input_ids, attn_mask):
     return logits
 
 
-@parameterize('placement_policy', ['cuda', 'cpu', 'auto'])
+@parameterize('placement_policy', ['cuda', 'cpu', 'auto', 'const'])
 def exam_gpt_fwd_bwd(placement_policy):
     set_seed(42)
     get_components_func = non_distributed_component_funcs.get_callable('gpt2')
diff --git a/tests/test_gemini/update/test_optim.py b/tests/test_gemini/update/test_optim.py
index cefda045d..3c82258a5 100644
--- a/tests/test_gemini/update/test_optim.py
+++ b/tests/test_gemini/update/test_optim.py
@@ -48,7 +48,7 @@ def run_fwd_bwd(model, criterion, optimizer, input_ids, attn_mask):
     return logits
 
 
-@parameterize('placement_policy', ['cuda', 'cpu', 'auto'])
+@parameterize('placement_policy', ['cuda', 'cpu', 'auto', 'const'])
 def exam_gpt_fwd_bwd(placement_policy):
     set_seed(42)
     get_components_func = non_distributed_component_funcs.get_callable('gpt2')
diff --git a/tests/test_gemini/update/test_zeroddp_state_dict.py b/tests/test_gemini/update/test_zeroddp_state_dict.py
index 86e39097e..69f46b900 100644
--- a/tests/test_gemini/update/test_zeroddp_state_dict.py
+++ b/tests/test_gemini/update/test_zeroddp_state_dict.py
@@ -12,7 +12,6 @@ from functools import partial
 from tests.test_tensor.common_utils import set_seed
 from tests.components_to_test.registry import non_distributed_component_funcs
 from colossalai.nn.parallel import ZeroDDP
-from colossalai.zero import ZeroOptimizer
 from colossalai.testing import parameterize
 from colossalai.gemini.gemini_mgr import GeminiManager
 from tests.test_tensor.common_utils import debug_print