CREATE OR REPLACE FUNCTION shard_placement_rebalance_array( worker_node_list json[], shard_placement_list json[], threshold float4 DEFAULT 0, max_shard_moves int DEFAULT 1000000, drain_only bool DEFAULT false, improvement_threshold float4 DEFAULT 0.5 ) RETURNS json[] AS 'citus' LANGUAGE C STRICT VOLATILE; -- Check that even with threshold=0.0 shard_placement_rebalance_array returns -- something when there's no completely balanced solution. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2"}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname1"}']::json[] )); -- Check that a node can be drained in a balanced cluster SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4"}', '{"node_name": "hostname2"}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}' ]::json[] )); -- Check that an already drained node won't be filled again after a second -- rebalance SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4"}', '{"node_name": "hostname2"}']::json[], ARRAY['{"shardid":1, "nodename":"hostname2"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}' ]::json[] )); -- Check that even when shards are already balanced, but shard 4 is on a node -- where it is not allowed it will be moved and there will be rebalancing later SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,5,6"}', '{"node_name": "hostname2", "disallowed_shards": "4"}', '{"node_name": "hostname3", "disallowed_shards": "4"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname3"}', '{"shardid":6, "nodename":"hostname3"}' ]::json[] )); -- Check that even when shards are already balanced, disallowed shards will be -- moved away from hostname1 and the only shard that is allowed there will be -- moved there SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,5,6"}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname3"}', '{"shardid":6, "nodename":"hostname3"}' ]::json[] )); -- Check that an error is returned when a shard is not allowed anywhere SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "2,4"}', '{"node_name": "hostname2", "disallowed_shards": "1,4"}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}' ]::json[] )); -- Check that cost is taken into account when rebalancing SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2"}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname1"}', '{"shardid":4, "nodename":"hostname1", "cost": 3}']::json[] )); -- Check that cost is taken into account when rebalancing disallowed placements SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4"}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname1"}', '{"shardid":4, "nodename":"hostname1", "cost": 3}']::json[] )); -- Check that node capacacity is taken into account. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 3}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname1"}', '{"shardid":4, "nodename":"hostname1"}']::json[] )); -- Check that shards are not moved when target utilization stays the same and -- the source utilization goes below the original target utilization. hostname1 -- has utilization of 1, after move hostname2 would have a utilization of 1 as -- well. hostname1 would have utilization of 1 while hostname2 has utilization -- of 2/3 now. Since load is spread more fairly with utilization 2/3 than 0 it -- should choose that distribution. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 3}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}']::json[] )); -- Check that shards are moved even when target utilization stays the same, but -- source utilization goes below the original target utilization. hostname2 -- has utilization of 1, after move hostname1 would have a utilization of 1 as -- well. hostname2 would have utilization of 2/3 while hostname1 now has -- utilization of 0 now. Since load is spread more fairly with utilization 2/3 -- than 0 it should choose that distribution. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 3}']::json[], ARRAY['{"shardid":1, "nodename":"hostname2"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}']::json[] )); -- Check that shards are moved even when target utilization stays the same, but -- source utilization goes below the original target utilization. hostname2 -- has utilization of 2, after move hostname1 would have a utilization of 2 as -- well. hostname2 would have utilization of 1.5 while hostname1 now has -- utilization of 1. Since load is spread more fairly with utilization 1.5 than -- 1 it should choose that distribution. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 2}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}']::json[] )); -- Check that shards are moved even when target utilization stays the same, but -- source utilization goes below the original target utilization. hostname1 -- has utilization of 2, after move hostname2 would have a utilization of 2 as -- well. hostname1 would have utilization of 1 while hostname2 now has -- utilization of 1.5. Since load is spread more fairly with utilization 1.5 -- than 1 it should choose that distribution. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 2}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}']::json[] )); -- Check that all shards will be moved to 1 node if its capacity is big enough SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 4}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname1"}']::json[] )); -- Check that shards will be moved to a smaller node node if utilization improves SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 3}']::json[], ARRAY['{"shardid":1, "nodename":"hostname2"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}']::json[] )); -- Check that node capacity works with different shard costs SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 3}']::json[], ARRAY['{"shardid":1, "nodename":"hostname2"}', '{"shardid":2, "nodename":"hostname2", "cost": 3}']::json[] )); -- Check that node capacity works with different shard costs again SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 3}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname1", "cost": 2}']::json[] )); -- Check that max_shard_moves works and that we get a NOTICE that it is hit SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 3}']::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname1"}', '{"shardid":3, "nodename":"hostname1", "cost": 2}']::json[], max_shard_moves := 1 )); -- Check that node capacity works with different shard costs and disallowed_shards -- NOTE: these moves are not optimal, once we implement merging of updates this -- output should change. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1"}', '{"node_name": "hostname2", "capacity": 5}', '{"node_name": "hostname3", "disallowed_shards": "1,2"}']::json[], ARRAY['{"shardid":1, "nodename":"hostname3"}', '{"shardid":2, "nodename":"hostname3", "cost": 2}']::json[] )); -- Check that draining + rebalancing nodes works SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4,5,6", "capacity": 0}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}', '{"shardid":6, "nodename":"hostname2"}' ]::json[] )); -- Check that draining nodes with drain only works SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4,5,6", "capacity": 0}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}', '{"shardid":6, "nodename":"hostname2"}' ]::json[], drain_only := true )); -- Check that draining nodes has priority over max_shard_moves SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4,5,6", "capacity": 0}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}', '{"shardid":6, "nodename":"hostname2"}' ]::json[], max_shard_moves := 0 )); -- Check that drained moves are counted towards shard moves and thus use up the -- limit when doing normal rebalance moves SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4,5,6", "capacity": 0}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}', '{"shardid":6, "nodename":"hostname2"}' ]::json[], max_shard_moves := 2 )); -- Check that draining for all colocation groups is done before rebalancing SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4,5,6,7,8,9,10,11,12", "capacity": 0}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}', '{"shardid":6, "nodename":"hostname2"}', '{"shardid":7, "nodename":"hostname1", "next_colocation": true}', '{"shardid":8, "nodename":"hostname2"}', '{"shardid":9, "nodename":"hostname2"}', '{"shardid":10, "nodename":"hostname2"}', '{"shardid":11, "nodename":"hostname2"}', '{"shardid":12, "nodename":"hostname2"}' ]::json[] )); -- Check that max_shard_moves warning is only shown once even if more than one -- colocation group its placement updates are ignored because of it SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4,5,6,7,8,9,10,11,12", "capacity": 0}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}', '{"shardid":6, "nodename":"hostname2"}', '{"shardid":7, "nodename":"hostname1", "next_colocation": true}', '{"shardid":8, "nodename":"hostname2"}', '{"shardid":9, "nodename":"hostname2"}', '{"shardid":10, "nodename":"hostname2"}', '{"shardid":11, "nodename":"hostname2"}', '{"shardid":12, "nodename":"hostname2"}' ]::json[], max_shard_moves := 1 )); -- Check that moves for different colocation groups are added together when -- taking into account max_shard_moves SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "hostname1", "disallowed_shards": "1,2,3,4,5,6,7,8,9,10,11,12", "capacity": 0}', '{"node_name": "hostname2"}', '{"node_name": "hostname3"}' ]::json[], ARRAY['{"shardid":1, "nodename":"hostname1"}', '{"shardid":2, "nodename":"hostname2"}', '{"shardid":3, "nodename":"hostname2"}', '{"shardid":4, "nodename":"hostname2"}', '{"shardid":5, "nodename":"hostname2"}', '{"shardid":6, "nodename":"hostname2"}', '{"shardid":7, "nodename":"hostname1", "next_colocation": true}', '{"shardid":8, "nodename":"hostname2"}', '{"shardid":9, "nodename":"hostname2"}', '{"shardid":10, "nodename":"hostname2"}', '{"shardid":11, "nodename":"hostname2"}', '{"shardid":12, "nodename":"hostname2"}' ]::json[], max_shard_moves := 5 )); -- Don't move a big shards if it doesn't improve the utilization balance much. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}']::json[], ARRAY['{"shardid":1, "cost":20, "nodename":"a"}', '{"shardid":2, "cost":20, "nodename":"a"}', '{"shardid":3, "cost":100, "nodename":"b"}', '{"shardid":4, "cost":50, "nodename":"b"}' ]::json[] )); SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}']::json[], ARRAY['{"shardid":1, "cost":40, "nodename":"a"}', '{"shardid":2, "cost":40, "nodename":"a"}', '{"shardid":3, "cost":100, "nodename":"b"}', '{"shardid":4, "cost":100, "nodename":"b"}' ]::json[] )); -- improvement_threshold can be used to force a move of big shards -- if needed. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}']::json[], ARRAY['{"shardid":1, "cost":20, "nodename":"a"}', '{"shardid":2, "cost":20, "nodename":"a"}', '{"shardid":3, "cost":100, "nodename":"b"}', '{"shardid":4, "cost":50, "nodename":"b"}' ]::json[], improvement_threshold := 0.1 )); SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}']::json[], ARRAY['{"shardid":1, "cost":40, "nodename":"a"}', '{"shardid":2, "cost":40, "nodename":"a"}', '{"shardid":3, "cost":100, "nodename":"b"}', '{"shardid":4, "cost":100, "nodename":"b"}' ]::json[], improvement_threshold := 0.2 )); -- limits notices about ignored moves SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}', '{"node_name": "c"}', '{"node_name": "d"}', '{"node_name": "e"}', '{"node_name": "f"}', '{"node_name": "g"}' ]::json[], ARRAY['{"shardid":1, "cost":39, "nodename":"a"}', '{"shardid":2, "cost":39, "nodename":"b"}', '{"shardid":3, "cost":39, "nodename":"c"}', '{"shardid":4, "cost":39, "nodename":"d"}', '{"shardid":5, "cost":39, "nodename":"e"}', '{"shardid":6, "cost":39, "nodename":"f"}', '{"shardid":7, "cost":40, "nodename":"g"}', '{"shardid":8, "cost":39, "nodename":"g"}' ]::json[], improvement_threshold := 0.1 )); -- limits notices based on GUC set citus.max_rebalancer_logged_ignored_moves = 1; SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}', '{"node_name": "c"}', '{"node_name": "d"}', '{"node_name": "e"}', '{"node_name": "f"}', '{"node_name": "g"}' ]::json[], ARRAY['{"shardid":1, "cost":39, "nodename":"a"}', '{"shardid":2, "cost":39, "nodename":"b"}', '{"shardid":3, "cost":39, "nodename":"c"}', '{"shardid":4, "cost":39, "nodename":"d"}', '{"shardid":5, "cost":39, "nodename":"e"}', '{"shardid":6, "cost":39, "nodename":"f"}', '{"shardid":7, "cost":40, "nodename":"g"}', '{"shardid":8, "cost":39, "nodename":"g"}' ]::json[], improvement_threshold := 0.1 )); set citus.max_rebalancer_logged_ignored_moves = 10; SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}', '{"node_name": "c"}', '{"node_name": "d"}', '{"node_name": "e"}', '{"node_name": "f"}', '{"node_name": "g"}' ]::json[], ARRAY['{"shardid":1, "cost":39, "nodename":"a"}', '{"shardid":2, "cost":39, "nodename":"b"}', '{"shardid":3, "cost":39, "nodename":"c"}', '{"shardid":4, "cost":39, "nodename":"d"}', '{"shardid":5, "cost":39, "nodename":"e"}', '{"shardid":6, "cost":39, "nodename":"f"}', '{"shardid":7, "cost":40, "nodename":"g"}', '{"shardid":8, "cost":39, "nodename":"g"}' ]::json[], improvement_threshold := 0.1 )); set citus.max_rebalancer_logged_ignored_moves = -1; SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}', '{"node_name": "c"}', '{"node_name": "d"}', '{"node_name": "e"}', '{"node_name": "f"}', '{"node_name": "g"}' ]::json[], ARRAY['{"shardid":1, "cost":39, "nodename":"a"}', '{"shardid":2, "cost":39, "nodename":"b"}', '{"shardid":3, "cost":39, "nodename":"c"}', '{"shardid":4, "cost":39, "nodename":"d"}', '{"shardid":5, "cost":39, "nodename":"e"}', '{"shardid":6, "cost":39, "nodename":"f"}', '{"shardid":7, "cost":40, "nodename":"g"}', '{"shardid":8, "cost":39, "nodename":"g"}' ]::json[], improvement_threshold := 0.1 )); -- Combining improvement_threshold and capacity works as expected. SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b", "capacity": 2}']::json[], ARRAY['{"shardid":1, "cost":20, "nodename":"a"}', '{"shardid":2, "cost":10, "nodename":"a"}', '{"shardid":3, "cost":10, "nodename":"a"}', '{"shardid":4, "cost":100, "nodename":"b"}', '{"shardid":5, "cost":50, "nodename":"b"}', '{"shardid":6, "cost":50, "nodename":"b"}' ]::json[], improvement_threshold := 0.6 )); -- Test single shard colocation groups SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}']::json[], ARRAY['{"shardid":1, "cost":20, "nodename":"a"}', '{"shardid":2, "cost":10, "nodename":"a", "next_colocation": true}', '{"shardid":3, "cost":10, "nodename":"a", "next_colocation": true}', '{"shardid":4, "cost":100, "nodename":"a", "next_colocation": true}', '{"shardid":5, "cost":50, "nodename":"a", "next_colocation": true}', '{"shardid":6, "cost":50, "nodename":"a", "next_colocation": true}' ]::json[], improvement_threshold := 0.1 )); -- Test colocation groups with shard count < worker count SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}', '{"node_name": "c"}']::json[], ARRAY['{"shardid":1, "cost":20, "nodename":"a"}', '{"shardid":2, "cost":10, "nodename":"a"}', '{"shardid":3, "cost":10, "nodename":"a", "next_colocation": true}', '{"shardid":4, "cost":100, "nodename":"a"}', '{"shardid":5, "cost":50, "nodename":"a", "next_colocation": true}', '{"shardid":6, "cost":50, "nodename":"a"}' ]::json[], improvement_threshold := 0.1 )); -- Test colocation groups with shard count < worker count -- mixed with a colocation group shard_count > worker count SELECT unnest(shard_placement_rebalance_array( ARRAY['{"node_name": "a"}', '{"node_name": "b"}', '{"node_name": "c"}']::json[], ARRAY['{"shardid":1, "cost":20, "nodename":"a"}', '{"shardid":2, "cost":10, "nodename":"a"}', '{"shardid":3, "cost":10, "nodename":"a", "next_colocation": true}', '{"shardid":4, "cost":100, "nodename":"a"}', '{"shardid":5, "cost":50, "nodename":"a", "next_colocation": true}', '{"shardid":6, "cost":50, "nodename":"a"}', '{"shardid":7, "cost":50, "nodename":"b", "next_colocation": true}', '{"shardid":8, "cost":50, "nodename":"b"}', '{"shardid":9, "cost":50, "nodename":"b"}', '{"shardid":10, "cost":50, "nodename":"b"}', '{"shardid":11, "cost":50, "nodename":"b"}', '{"shardid":12, "cost":50, "nodename":"b"}' ]::json[], improvement_threshold := 0.1 ));