diff --git a/tempest/api/compute/admin/test_live_migration.py b/tempest/api/compute/admin/test_live_migration.py
index 941315e..52ccea7 100644
--- a/tempest/api/compute/admin/test_live_migration.py
+++ b/tempest/api/compute/admin/test_live_migration.py
@@ -169,8 +169,13 @@
                       block_migrate_cinder_iscsi,
                       'Block Live migration not configured for iSCSI')
     @utils.services('volume')
-    def test_iscsi_volume(self):
-        """Test live migrating a server with volume attached"""
+    def test_live_block_migration_with_attached_volume(self):
+        """Test the live-migration of an instance with an attached volume.
+
+        This tests the live-migration of an instance with both a local disk and
+        attach volume. This differs from test_volume_backed_live_migration
+        above that tests live-migration with only an attached volume.
+        """
         server = self.create_test_server(wait_until="ACTIVE")
         server_id = server['id']
         if not CONF.compute_feature_enabled.can_migrate_between_any_hosts:
diff --git a/tempest/api/object_storage/base.py b/tempest/api/object_storage/base.py
index e8f3f8b..478a834 100644
--- a/tempest/api/object_storage/base.py
+++ b/tempest/api/object_storage/base.py
@@ -13,12 +13,9 @@
 #    License for the specific language governing permissions and limitations
 #    under the License.
 
-import time
-
 from tempest.common import custom_matchers
 from tempest import config
 from tempest.lib.common.utils import data_utils
-from tempest.lib.common.utils import test_utils
 from tempest.lib import exceptions as lib_exc
 import tempest.test
 
@@ -50,12 +47,11 @@
             _, objlist = container_client.list_container_objects(cont, params)
             # delete every object in the container
             for obj in objlist:
-                test_utils.call_and_ignore_notfound_exc(
-                    object_client.delete_object, cont, obj['name'])
-            # sleep 2 seconds to sync the deletion of the objects
-            # in HA deployment
-            time.sleep(2)
+                object_client.delete_object(cont, obj['name'])
+                object_client.wait_for_resource_deletion(obj['name'], cont)
+            # Verify resource deletion
             container_client.delete_container(cont)
+            container_client.wait_for_resource_deletion(cont)
         except lib_exc.NotFound:
             pass
 
diff --git a/tempest/lib/common/rest_client.py b/tempest/lib/common/rest_client.py
index 94adaa8..00f2aeb 100644
--- a/tempest/lib/common/rest_client.py
+++ b/tempest/lib/common/rest_client.py
@@ -890,7 +890,7 @@
             return True
         return 'exceed' in resp_body.get('message', 'blabla')
 
-    def wait_for_resource_deletion(self, id):
+    def wait_for_resource_deletion(self, id, *args, **kwargs):
         """Waits for a resource to be deleted
 
         This method will loop over is_resource_deleted until either
@@ -903,7 +903,7 @@
         """
         start_time = int(time.time())
         while True:
-            if self.is_resource_deleted(id):
+            if self.is_resource_deleted(id, *args, **kwargs):
                 return
             if int(time.time()) - start_time >= self.build_timeout:
                 message = ('Failed to delete %(resource_type)s %(id)s within '
diff --git a/tempest/lib/services/object_storage/container_client.py b/tempest/lib/services/object_storage/container_client.py
index 8472a97..6d07ec1 100644
--- a/tempest/lib/services/object_storage/container_client.py
+++ b/tempest/lib/services/object_storage/container_client.py
@@ -20,10 +20,18 @@
 from oslo_serialization import jsonutils as json
 
 from tempest.lib.common import rest_client
+from tempest.lib import exceptions
 
 
 class ContainerClient(rest_client.RestClient):
 
+    def is_resource_deleted(self, container):
+        try:
+            self.list_container_metadata(container)
+        except exceptions.NotFound:
+            return True
+        return False
+
     def update_container(self, container_name, **headers):
         """Creates or Updates a container
 
diff --git a/tempest/lib/services/object_storage/object_client.py b/tempest/lib/services/object_storage/object_client.py
index 8845d79..bb82975 100644
--- a/tempest/lib/services/object_storage/object_client.py
+++ b/tempest/lib/services/object_storage/object_client.py
@@ -23,6 +23,13 @@
 
 class ObjectClient(rest_client.RestClient):
 
+    def is_resource_deleted(self, object_name, container):
+        try:
+            self.get_object(container, object_name)
+        except exceptions.NotFound:
+            return True
+        return False
+
     def create_object(self, container, object_name, data,
                       params=None, metadata=None, headers=None,
                       chunked=False):
diff --git a/tempest/lib/services/placement/resource_providers_client.py b/tempest/lib/services/placement/resource_providers_client.py
index fcd220f..e6fbcb2 100644
--- a/tempest/lib/services/placement/resource_providers_client.py
+++ b/tempest/lib/services/placement/resource_providers_client.py
@@ -81,3 +81,29 @@
         self.expected_success(200, resp.status)
         body = json.loads(body)
         return rest_client.ResponseBody(resp, body)
+
+    def update_resource_providers_inventories(self, rp_uuid, **kwargs):
+        """Update resource providers inventories.
+
+        For full list of available parameters, please refer to the official
+        API reference:
+        https://docs.openstack.org/api-ref/placement/#update-resource-provider-inventories
+        """
+        url = '/resource_providers/{}/inventories'.format(rp_uuid)
+        data = json.dumps(kwargs)
+        resp, body = self.put(url, data)
+        self.expected_success(200, resp.status)
+        body = json.loads(body)
+        return rest_client.ResponseBody(resp, body)
+
+    def delete_resource_providers_inventories(self, rp_uuid):
+        """Delete resource providers inventories.
+
+        For full list of available parameters, please refer to the official
+        API reference:
+        https://docs.openstack.org/api-ref/placement/#delete-resource-provider-inventories
+        """
+        url = '/resource_providers/{}/inventories'.format(rp_uuid)
+        resp, body = self.delete(url)
+        self.expected_success(204, resp.status)
+        return rest_client.ResponseBody(resp, body)
diff --git a/tempest/tests/lib/services/placement/test_resource_providers_client.py b/tempest/tests/lib/services/placement/test_resource_providers_client.py
index 11aeaf2..485f584 100644
--- a/tempest/tests/lib/services/placement/test_resource_providers_client.py
+++ b/tempest/tests/lib/services/placement/test_resource_providers_client.py
@@ -48,6 +48,43 @@
     FAKE_RESOURCE_PROVIDER_AGGREGATES = {
         'aggregates': [FAKE_AGGREGATE_UUID]
     }
+    FAKE_RESOURCE_UPDATE_INVENTORIES_RESPONSE = {
+        "inventories": {
+            "MEMORY_MB": {
+                "allocation_ratio": 2.0,
+                "max_unit": 16,
+                "min_unit": 1,
+                "reserved": 0,
+                "step_size": 4,
+                "total": 128
+            },
+            "VCPU": {
+                "allocation_ratio": 10.0,
+                "max_unit": 2147483647,
+                "min_unit": 1,
+                "reserved": 2,
+                "step_size": 1,
+                "total": 64
+            }
+        },
+        "resource_provider_generation": 2
+    }
+    FAKE_RESOURCE_UPDATE_INVENTORIES_REQUEST = {
+        "inventories": {
+            "MEMORY_MB": {
+                "allocation_ratio": 2.0,
+                "max_unit": 16,
+                "step_size": 4,
+                "total": 128
+            },
+            "VCPU": {
+                "allocation_ratio": 10.0,
+                "reserved": 2,
+                "total": 64
+            }
+        },
+        "resource_provider_generation": 1
+    }
 
     def setUp(self):
         super(TestResourceProvidersClient, self).setUp()
@@ -102,6 +139,32 @@
     def test_list_resource_provider_inventories_with_bytes_body(self):
         self._test_list_resource_provider_inventories(bytes_body=True)
 
+    def _test_update_resource_providers_inventories(self, bytes_body=False):
+        self.check_service_client_function(
+            self.client.update_resource_providers_inventories,
+            'tempest.lib.common.rest_client.RestClient.put',
+            self.FAKE_RESOURCE_UPDATE_INVENTORIES_RESPONSE,
+            to_utf=bytes_body,
+            status=200,
+            rp_uuid=self.FAKE_RESOURCE_PROVIDER_UUID,
+            **self.FAKE_RESOURCE_UPDATE_INVENTORIES_REQUEST
+        )
+
+    def test_update_resource_providers_inventories_with_str_body(self):
+        self._test_update_resource_providers_inventories()
+
+    def test_update_resource_providers_inventories_with_bytes_body(self):
+        self._test_update_resource_providers_inventories(bytes_body=True)
+
+    def test_delete_resource_providers_inventories(self):
+        self.check_service_client_function(
+            self.client.delete_resource_providers_inventories,
+            'tempest.lib.common.rest_client.RestClient.delete',
+            {},
+            status=204,
+            rp_uuid=self.FAKE_RESOURCE_PROVIDER_UUID,
+        )
+
     def _test_list_resource_provider_aggregates(self, bytes_body=False):
         self.check_service_client_function(
             self.client.list_resource_provider_aggregates,