diff --git a/src/behaviors/emqttb_behavior_pub.erl b/src/behaviors/emqttb_behavior_pub.erl
index ce9f093..0a24a7a 100644
--- a/src/behaviors/emqttb_behavior_pub.erl
+++ b/src/behaviors/emqttb_behavior_pub.erl
@@ -117,7 +117,6 @@ init_per_group(Group,
 
 init(PubOpts = #{pubinterval := I, conn_opstat := ConnOpstat,
                  expiry := Expiry, clean_start := CleanStart}) ->
-  rand:seed(default),
   {SleepTime, N} = emqttb:get_duration_and_repeats(I),
   send_after_rand(SleepTime, {publish, N}),
   HostShift = maps:get(host_shift, PubOpts, 0),
diff --git a/src/framework/emqttb_autorate.erl b/src/framework/emqttb_autorate.erl
index 07e7569..48c6cdc 100644
--- a/src/framework/emqttb_autorate.erl
+++ b/src/framework/emqttb_autorate.erl
@@ -311,6 +311,7 @@ description(_, _, _) ->
         , meltdown  :: boolean()
         , last_t    :: integer()
         , last_err  :: number()
+        , init_val  :: number()
         }).
 
 init(Config = #{id := Id, conf_root := ConfRoot}) ->
@@ -349,6 +350,7 @@ init(Config = #{id := Id, conf_root := ConfRoot}) ->
                      , meltdown  = false
                      , last_err  = Err
                      , last_t    = os:system_time(millisecond)
+                     , init_val  = Current
                      })}.
 
 handle_call(activate, _From, S) ->
@@ -387,14 +389,16 @@ update_rate(S = #s{ last_t    = LastT
                   , id        = Id
                   , scram_fun = Scram
                   , meltdown  = Meltdown0
+                  , init_val  = InitVal
                   }) ->
   %% 0. Get current error
   T = os:system_time(millisecond),
   Dt = (T - LastT) / timer:seconds(1),
   Err = ErrF(),
   %% 1. Get config
-  Min = my_cfg(ConfRoot, [min]),
-  Max = my_cfg(ConfRoot, [max]),
+  %% Make sure the initial value is always in the min/max range:
+  Min = min(InitVal, my_cfg(ConfRoot, [min])),
+  Max = max(InitVal, my_cfg(ConfRoot, [max])),
   MaxSpeed = my_cfg(ConfRoot, [speed]),
   Kp = my_cfg(ConfRoot, [k_p]),
   Ti = my_cfg(ConfRoot, [t_i]),