diff --git a/tasksetgen.py b/tasksetgen.py
index 10d928c..a21afa9 100755
--- a/tasksetgen.py
+++ b/tasksetgen.py
@@ -193,6 +193,7 @@ def main():
     os.makedirs(args.target)
 
     print('Writing tasks…', file=sys.stderr)
+    taken_names={}
     for taskset in tasksets:
         task_out = []
         for task in taskset:
@@ -208,6 +209,12 @@ def main():
         name = 'taskset_{}_{}_{}'.format(now.strftime('%Y_%m_%d'),
                                                 len(taskset),
                                                 utilization)
+        try:
+            taken_names[name] += 1
+        except KeyError:
+            taken_names[name] = 1
+
+        name += '_{}'.format(taken_names[name])
 
         out = {}
         out['name'] = name