diff --git a/federation/pkg/federation-controller/replicaset/planner/planner.go b/federation/pkg/federation-controller/replicaset/planner/planner.go
index e16caf632eb..f13281808ac 100644
--- a/federation/pkg/federation-controller/replicaset/planner/planner.go
+++ b/federation/pkg/federation-controller/replicaset/planner/planner.go
@@ -17,6 +17,7 @@ limitations under the License.
 package planer
 
 import (
+	"hash/fnv"
 	"math"
 	"sort"
 
@@ -31,6 +32,7 @@ type Planner struct {
 
 type namedClusterReplicaSetPreferences struct {
 	clusterName string
+	hash        uint32
 	fed_api.ClusterReplicaSetPreferences
 }
 
@@ -39,9 +41,10 @@ type byWeight []*namedClusterReplicaSetPreferences
 func (a byWeight) Len() int      { return len(a) }
 func (a byWeight) Swap(i, j int) { a[i], a[j] = a[j], a[i] }
 
-// Preferences are sorted according by decreasing weight and increasing clusterName.
+// Preferences are sorted according by decreasing weight and increasing hash (built on top of cluster name and rs name).
+// Sorting is made by a hash to avoid assigning single-replica rs to the alphabetically smallest cluster.
 func (a byWeight) Less(i, j int) bool {
-	return (a[i].Weight > a[j].Weight) || (a[i].Weight == a[j].Weight && a[i].clusterName < a[j].clusterName)
+	return (a[i].Weight > a[j].Weight) || (a[i].Weight == a[j].Weight && a[i].hash < a[j].hash)
 }
 
 func NewPlanner(preferences *fed_api.FederatedReplicaSetPreferences) *Planner {
@@ -56,21 +59,28 @@ func NewPlanner(preferences *fed_api.FederatedReplicaSetPreferences) *Planner {
 // have all of the replicas assigned. In such case a cluster with higher weight has priority over
 // cluster with lower weight (or with lexicographically smaller name in case of draw).
 // It can also use the current replica count and estimated capacity to provide better planning and
-// adhere to rebalance policy.
+// adhere to rebalance policy. To avoid prioritization of clusters with smaller lexiconographical names
+// a semi-random string (like replica set name) can be provided.
 // Two maps are returned:
 // * a map that contains information how many replicas will be possible to run in a cluster.
 // * a map that contains information how many extra replicas would be nice to schedule in a cluster so,
 //   if by chance, they are scheudled we will be closer to the desired replicas layout.
 func (p *Planner) Plan(replicasToDistribute int64, availableClusters []string, currentReplicaCount map[string]int64,
-	estimatedCapacity map[string]int64) (map[string]int64, map[string]int64) {
+	estimatedCapacity map[string]int64, replicaSetKey string) (map[string]int64, map[string]int64) {
 
 	preferences := make([]*namedClusterReplicaSetPreferences, 0, len(availableClusters))
 	plan := make(map[string]int64, len(preferences))
 	overflow := make(map[string]int64, len(preferences))
 
 	named := func(name string, pref fed_api.ClusterReplicaSetPreferences) *namedClusterReplicaSetPreferences {
+		// Seems to work better than addler for our case.
+		hasher := fnv.New32()
+		hasher.Write([]byte(name))
+		hasher.Write([]byte(replicaSetKey))
+
 		return &namedClusterReplicaSetPreferences{
-			clusterName:                  name,
+			clusterName: name,
+			hash:        hasher.Sum32(),
 			ClusterReplicaSetPreferences: pref,
 		}
 	}
diff --git a/federation/pkg/federation-controller/replicaset/planner/planner_test.go b/federation/pkg/federation-controller/replicaset/planner/planner_test.go
index 556758a7b70..cab7865774e 100644
--- a/federation/pkg/federation-controller/replicaset/planner/planner_test.go
+++ b/federation/pkg/federation-controller/replicaset/planner/planner_test.go
@@ -28,7 +28,7 @@ func doCheck(t *testing.T, pref map[string]fed_api.ClusterReplicaSetPreferences,
 	planer := NewPlanner(&fed_api.FederatedReplicaSetPreferences{
 		Clusters: pref,
 	})
-	plan, overflow := planer.Plan(replicas, clusters, map[string]int64{}, map[string]int64{})
+	plan, overflow := planer.Plan(replicas, clusters, map[string]int64{}, map[string]int64{}, "")
 	assert.EqualValues(t, expected, plan)
 	assert.Equal(t, 0, len(overflow))
 }
@@ -38,7 +38,7 @@ func doCheckWithExisting(t *testing.T, pref map[string]fed_api.ClusterReplicaSet
 	planer := NewPlanner(&fed_api.FederatedReplicaSetPreferences{
 		Clusters: pref,
 	})
-	plan, overflow := planer.Plan(replicas, clusters, existing, map[string]int64{})
+	plan, overflow := planer.Plan(replicas, clusters, existing, map[string]int64{}, "")
 	assert.Equal(t, 0, len(overflow))
 	assert.EqualValues(t, expected, plan)
 }
@@ -52,7 +52,7 @@ func doCheckWithExistingAndCapacity(t *testing.T, rebalance bool, pref map[strin
 		Rebalance: rebalance,
 		Clusters:  pref,
 	})
-	plan, overflow := planer.Plan(replicas, clusters, existing, capacity)
+	plan, overflow := planer.Plan(replicas, clusters, existing, capacity, "")
 	assert.EqualValues(t, expected, plan)
 	assert.Equal(t, expectedOverflow, overflow)
 }
@@ -65,7 +65,8 @@ func TestEqual(t *testing.T) {
 	doCheck(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {Weight: 1}},
 		50, []string{"A", "B", "C"},
-		map[string]int64{"A": 17, "B": 17, "C": 16})
+		// hash dependent
+		map[string]int64{"A": 16, "B": 17, "C": 17})
 
 	doCheck(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {Weight: 1}},
@@ -75,12 +76,14 @@ func TestEqual(t *testing.T) {
 	doCheck(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {Weight: 1}},
 		1, []string{"A", "B"},
-		map[string]int64{"A": 1, "B": 0})
+		// hash dependent
+		map[string]int64{"A": 0, "B": 1})
 
 	doCheck(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {Weight: 1}},
 		1, []string{"A", "B", "C", "D"},
-		map[string]int64{"A": 1, "B": 0, "C": 0, "D": 0})
+		// hash dependent
+		map[string]int64{"A": 0, "B": 0, "C": 0, "D": 1})
 
 	doCheck(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {Weight: 1}},
@@ -122,7 +125,9 @@ func TestEqualWithExisting(t *testing.T) {
 		"*": {Weight: 1}},
 		50, []string{"A", "B"},
 		map[string]int64{"A": 10, "B": 70},
-		map[string]int64{"A": 10, "B": 40})
+		// hash dependent
+		// TODO: Should be 10:40, update algorithm. Issue: #31816
+		map[string]int64{"A": 0, "B": 50})
 
 	doCheckWithExisting(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {Weight: 1}},
@@ -145,7 +150,7 @@ func TestWithExistingAndCapacity(t *testing.T) {
 		map[string]int64{},
 		map[string]int64{"C": 10},
 		map[string]int64{"A": 20, "B": 20, "C": 10},
-		map[string]int64{"C": 6})
+		map[string]int64{"C": 7})
 
 	// desired B:50 C:0
 	doCheckWithExistingAndCapacity(t, true, map[string]fed_api.ClusterReplicaSetPreferences{
@@ -228,7 +233,8 @@ func TestMin(t *testing.T) {
 	doCheck(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {MinReplicas: 20, Weight: 0}},
 		50, []string{"A", "B", "C"},
-		map[string]int64{"A": 20, "B": 20, "C": 10})
+		// hash dependant.
+		map[string]int64{"A": 10, "B": 20, "C": 20})
 
 	doCheck(t, map[string]fed_api.ClusterReplicaSetPreferences{
 		"*": {MinReplicas: 20, Weight: 0},
diff --git a/federation/pkg/federation-controller/replicaset/replicasetcontroller.go b/federation/pkg/federation-controller/replicaset/replicasetcontroller.go
index 72cd4f0e6d7..8ae059de3a3 100644
--- a/federation/pkg/federation-controller/replicaset/replicasetcontroller.go
+++ b/federation/pkg/federation-controller/replicaset/replicasetcontroller.go
@@ -363,7 +363,8 @@ func (frsc *ReplicaSetController) schedule(frs *extensionsv1.ReplicaSet, cluster
 	for _, cluster := range clusters {
 		clusterNames = append(clusterNames, cluster.Name)
 	}
-	scheduleResult, overflow := plnr.Plan(replicas, clusterNames, current, estimatedCapacity)
+	scheduleResult, overflow := plnr.Plan(replicas, clusterNames, current, estimatedCapacity,
+		frs.Namespace+"/"+frs.Name)
 	// make sure the return contains clusters need to zero the replicas
 	result := make(map[string]int64)
 	for clusterName := range current {