diff --git a/simlib/mixnet-sims/src/node/mix/consensus_streams.rs b/simlib/mixnet-sims/src/node/mix/consensus_streams.rs
index 33c52f7..ea1edf1 100644
--- a/simlib/mixnet-sims/src/node/mix/consensus_streams.rs
+++ b/simlib/mixnet-sims/src/node/mix/consensus_streams.rs
@@ -67,16 +67,18 @@ mod tests {
         let (update_sender, update_receiver) = channel::unbounded();
         let mut interval = CounterInterval::new(Duration::from_secs(1), update_receiver);
 
+        update_sender.send(Duration::from_secs(0)).unwrap();
+        assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Ready(Some(0)));
         update_sender.send(Duration::from_secs(0)).unwrap();
         assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Pending);
         update_sender.send(Duration::from_millis(999)).unwrap();
         assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Pending);
         update_sender.send(Duration::from_millis(1)).unwrap();
-        assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Ready(Some(0)));
-        update_sender.send(Duration::from_secs(1)).unwrap();
         assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Ready(Some(1)));
-        update_sender.send(Duration::from_secs(3)).unwrap();
+        update_sender.send(Duration::from_secs(1)).unwrap();
         assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Ready(Some(2)));
+        update_sender.send(Duration::from_secs(3)).unwrap();
+        assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Ready(Some(3)));
     }
 
     #[test]
@@ -87,17 +89,19 @@ mod tests {
         let (update_sender, update_receiver) = channel::unbounded();
         let mut slot = Slot::new(3, Duration::from_secs(1), update_receiver);
 
+        update_sender.send(Duration::from_secs(0)).unwrap();
+        assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Ready(Some(0)));
         update_sender.send(Duration::from_secs(0)).unwrap();
         assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Pending);
         update_sender.send(Duration::from_millis(999)).unwrap();
         assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Pending);
         update_sender.send(Duration::from_millis(1)).unwrap();
+        assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Ready(Some(1)));
+        update_sender.send(Duration::from_secs(1)).unwrap();
+        assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Ready(Some(2)));
+        update_sender.send(Duration::from_secs(3)).unwrap();
         assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Ready(Some(0)));
         update_sender.send(Duration::from_secs(1)).unwrap();
         assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Ready(Some(1)));
-        update_sender.send(Duration::from_secs(3)).unwrap();
-        assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Ready(Some(2)));
-        update_sender.send(Duration::from_secs(1)).unwrap();
-        assert_eq!(slot.poll_next_unpin(&mut cx), Poll::Ready(Some(0)));
     }
 }
diff --git a/simlib/mixnet-sims/src/node/mix/scheduler.rs b/simlib/mixnet-sims/src/node/mix/scheduler.rs
index aef1c57..ac403c8 100644
--- a/simlib/mixnet-sims/src/node/mix/scheduler.rs
+++ b/simlib/mixnet-sims/src/node/mix/scheduler.rs
@@ -15,7 +15,7 @@ impl Interval {
     pub fn new(duration: Duration, update_time: channel::Receiver<Duration>) -> Self {
         Self {
             duration,
-            current_elapsed: Duration::from_secs(0),
+            current_elapsed: duration, // to immediately release at the interval 0
             update_time,
         }
     }
@@ -104,7 +104,7 @@ mod tests {
         let (_tx, rx) = channel::unbounded();
         let mut interval = Interval::new(Duration::from_secs(2), rx);
 
-        assert!(!interval.update(Duration::from_secs(0)));
+        assert!(interval.update(Duration::from_secs(0)));
         assert!(!interval.update(Duration::from_secs(1)));
         assert!(interval.update(Duration::from_secs(1)));
         assert!(interval.update(Duration::from_secs(3)));
@@ -118,6 +118,8 @@ mod tests {
         let (tx, rx) = channel::unbounded();
         let mut interval = Interval::new(Duration::from_secs(2), rx);
 
+        tx.send(Duration::from_secs(0)).unwrap();
+        assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Ready(Some(())));
         tx.send(Duration::from_secs(0)).unwrap();
         assert_eq!(interval.poll_next_unpin(&mut cx), Poll::Pending);
         tx.send(Duration::from_secs(1)).unwrap();
@@ -132,7 +134,7 @@ mod tests {
     fn temporal_release_update() {
         let (_tx, rx) = channel::unbounded();
         let mut temporal_release =
-            TemporalRelease::new(rand_chacha::ChaCha8Rng::from_entropy(), rx, (1, 2));
+            TemporalRelease::new(rand_chacha::ChaCha8Rng::from_entropy(), rx, (1, 1));
 
         assert!(!temporal_release.update(Duration::from_secs(0)));
         assert!(!temporal_release.update(Duration::from_millis(999)));
@@ -147,7 +149,7 @@ mod tests {
 
         let (tx, rx) = channel::unbounded();
         let mut temporal_release =
-            TemporalRelease::new(rand_chacha::ChaCha8Rng::from_entropy(), rx, (1, 2));
+            TemporalRelease::new(rand_chacha::ChaCha8Rng::from_entropy(), rx, (1, 1));
 
         tx.send(Duration::from_secs(0)).unwrap();
         assert_eq!(temporal_release.poll_next_unpin(&mut cx), Poll::Pending);