diff --git a/src/compiler/register-allocator.cc b/src/compiler/register-allocator.cc
index d1d67fee2a..7c78567b08 100644
--- a/src/compiler/register-allocator.cc
+++ b/src/compiler/register-allocator.cc
@@ -2742,19 +2742,10 @@ const char* RegisterAllocator::RegisterName(int register_code) const {
   }
 }
 
-// static
-LinearScanAllocator::LiveRangeQueue LinearScanAllocator::MakeLiveRangeQueue(
-    size_t capacity, Zone* local_zone) {
-  ZoneVector<LiveRange*> backing_store(local_zone);
-  backing_store.reserve(capacity);
-  return LiveRangeQueue(LiveRangeOrdering(), std::move(backing_store));
-}
-
 LinearScanAllocator::LinearScanAllocator(RegisterAllocationData* data,
                                          RegisterKind kind, Zone* local_zone)
     : RegisterAllocator(data, kind),
-      unhandled_live_ranges_(MakeLiveRangeQueue(
-          static_cast<size_t>(code()->VirtualRegisterCount() * 2), local_zone)),
+      unhandled_live_ranges_(local_zone),
       active_live_ranges_(local_zone),
       inactive_live_ranges_(local_zone) {
   active_live_ranges().reserve(8);
@@ -2805,8 +2796,8 @@ void LinearScanAllocator::AllocateRegisters() {
   }
 
   while (!unhandled_live_ranges().empty()) {
-    LiveRange* current = unhandled_live_ranges().top();
-    unhandled_live_ranges().pop();
+    LiveRange* current = *unhandled_live_ranges().begin();
+    unhandled_live_ranges().erase(unhandled_live_ranges().begin());
     LifetimePosition position = current->Start();
 #ifdef DEBUG
     allocation_finger_ = position;
@@ -2897,7 +2888,7 @@ void LinearScanAllocator::AddToUnhandled(LiveRange* range) {
 
   TRACE("Add live range %d:%d to unhandled\n", range->TopLevel()->vreg(),
         range->relative_id());
-  unhandled_live_ranges().push(range);
+  unhandled_live_ranges().insert(range);
 }
 
 
diff --git a/src/compiler/register-allocator.h b/src/compiler/register-allocator.h
index 8612a967a3..b5286e8e95 100644
--- a/src/compiler/register-allocator.h
+++ b/src/compiler/register-allocator.h
@@ -1042,12 +1042,10 @@ class LinearScanAllocator final : public RegisterAllocator {
  private:
   struct LiveRangeOrdering {
     bool operator()(LiveRange* a, LiveRange* b) {
-      return b->ShouldBeAllocatedBefore(a);
+      return a->ShouldBeAllocatedBefore(b);
     }
   };
-  using LiveRangeQueue = std::priority_queue<LiveRange*, ZoneVector<LiveRange*>,
-                                             LiveRangeOrdering>;
-  static LiveRangeQueue MakeLiveRangeQueue(size_t capacity, Zone* local_zone);
+  using LiveRangeQueue = ZoneMultiset<LiveRange*, LiveRangeOrdering>;
   LiveRangeQueue& unhandled_live_ranges() { return unhandled_live_ranges_; }
   ZoneVector<LiveRange*>& active_live_ranges() { return active_live_ranges_; }
   ZoneVector<LiveRange*>& inactive_live_ranges() {
diff --git a/src/zone/zone-containers.h b/src/zone/zone-containers.h
index c899bf340d..1988826779 100644
--- a/src/zone/zone-containers.h
+++ b/src/zone/zone-containers.h
@@ -129,6 +129,17 @@ class ZoneSet : public std::set<K, Compare, ZoneAllocator<K>> {
                                                ZoneAllocator<K>(zone)) {}
 };
 
+// A wrapper subclass for std::multiset to make it easy to construct one that
+// uses a zone allocator.
+template <typename K, typename Compare = std::less<K>>
+class ZoneMultiset : public std::multiset<K, Compare, ZoneAllocator<K>> {
+ public:
+  // Constructs an empty set.
+  explicit ZoneMultiset(Zone* zone)
+      : std::multiset<K, Compare, ZoneAllocator<K>>(Compare(),
+                                                    ZoneAllocator<K>(zone)) {}
+};
+
 // A wrapper subclass for std::map to make it easy to construct one that uses
 // a zone allocator.
 template <typename K, typename V, typename Compare = std::less<K>>