Query Consuming too much time.

Hi,
i am using Release 10.2.0.4.0 version of oracle. I am having a query, its taking too much time(~7 minutes) for indexed read. Please help me to understand the reason and workaround for same.
  select *
FROM a,
         b
   WHERE  a.xdt_docownerpaypk = b.paypk
         AND a.xdt_doctype = 'PURCHASEORDER'
         AND b.companypk = 1202829117
         AND a.xdt_createdt BETWEEN TO_DATE (
                                                             '07/01/2009',
                                                             'MM/DD/YYYY')
                                                      AND TO_DATE (
                                                             '01/01/2010',
                                                             'MM/DD/YYYY')
ORDER BY a.xdt_createdt DESC;
| Id  | Operation                      | Name                    | Starts | E-Rows | A-Rows |   A-Time   | Buffers | Reads  |  OMem |  1Mem | Used-Mem |
|   1 |  SORT ORDER BY                 |                         |      1 |      1 |    907 |00:06:45.83 |   66716 |  60047 |   478K|   448K|  424K (0)|
|*  2 |   TABLE ACCESS BY INDEX ROWID  | a                       |      1 |      1 |    907 |00:06:45.82 |   66716 |  60047 |       |       |          |
|   3 |    NESTED LOOPS                |                         |      1 |      1 |   6977 |00:06:45.64 |   60045 |  60030 |       |       |          |
|   4 |     TABLE ACCESS BY INDEX ROWID| b                       |      1 |      1 |      1 |00:00:00.01 |       4 |      0 |       |       |          |
|*  5 |      INDEX RANGE SCAN          | IDX_PAYIDENTITYCOMPANY  |      1 |      1 |      1 |00:00:00.01 |       3 |      0 |       |       |          |
|*  6 |     INDEX RANGE SCAN           | IDX_XDT_N7              |      1 |   3438 |   6975 |00:06:45.64 |   60041 |  60030 |       |       |          |
Predicate Information (identified by operation id):
   2 - filter(("a"."XDT_CREATEDT"<=TO_DATE(' 2010-01-01 00:00:00', 'syyyy-mm-dd hh24:mi:ss') AND
              "a"."XDT_CREATEDT">=TO_DATE(' 2009-07-01 00:00:00', 'syyyy-mm-dd hh24:mi:ss')))
   5 - access("b"."COMPANYPK"=1202829117)
   6 - access("XDT_DOCTYPE"='PURCHASEORDER' AND "a"."XDT_DOCOWNERPAYPK"="b"."PAYPK")
       filter("a"."XDT_DOCOWNERPAYPK"="b"."PAYPK")
32 rows selected.
index 'idx_xdt_n7' is on (xdt_doctype,action_date,xdt_docownerpaypk).
index idx_xdt_n7 details are as below.
blevel   distinct_keys   avg_leaf_blocks_per_key   avg_data_blocks_per_key   clustering_factor       num_rows
3         868840             1                         47                     24020933               69871000
But when i am deriving exact value of paypk from table b and applying to the query, its using another index(idx_xdt_n4) which is on index 'idx_xdt_n4' is on (month,year,xdt_docownerpaypk,xdt_doctype,action_date)
and completes within ~17 seconds. below is the query/plan details.
  select *
  FROM a
    WHERE a.xdt_docownerpaypk = 1202829132
          AND xdt_doctype = 'PURCHASEORDER'
         AND a.xdt_createdt BETWEEN TO_DATE (
                                                              '07/01/2009',
                                                              'MM/DD/YYYY')
                                                       AND TO_DATE (
                                                              '01/01/2010',
                                                              'MM/DD/YYYY')
ORDER BY xdt_createdt DESC;
| Id  | Operation                    | Name                    | Starts | E-Rows | A-Rows |   A-Time   | Buffers | Reads  |  OMem |  1Mem | Used-Mem |
|   1 |  SORT ORDER BY               |                         |      1 |   3224 |    907 |00:00:02.19 |    7001 |    339 |   337K|   337K|  299K (0)|
|*  2 |   TABLE ACCESS BY INDEX ROWID| a                       |      1 |   3224 |    907 |00:00:02.19 |    7001 |    339 |       |       |          |
|*  3 |    INDEX SKIP SCAN           | IDX_XDT_N4              |      1 |  38329 |   6975 |00:00:02.08 |     330 |    321 |       |       |          |
Predicate Information (identified by operation id):
   2 - filter(("a"."XDT_CREATEDT"<=TO_DATE(' 2010-01-01 00:00:00', 'syyyy-mm-dd hh24:mi:ss') AND
              "a"."XDT_CREATEDT">=TO_DATE(' 2009-07-01 00:00:00', 'syyyy-mm-dd hh24:mi:ss')))
   3 - access("a"."XDT_DOCOWNERPAYPK"=1202829132 AND "XDT_DOCTYPE"='PURCHASEORDER')
       filter(("a"."XDT_DOCOWNERPAYPK"=1202829132 AND "XDT_DOCTYPE"='PURCHASEORDER'))
index idx_xdt_n4 details are as below.
blevel   distinct_keys   avg_leaf_blocks_per_key   avg_data_blocks_per_key   clustering_factor       num_rows
3         868840             1                         47                     23942833              70224133Edited by: 930254 on Apr 26, 2013 5:04 AM

the first query uses the predicate "XDT_DOCTYPE"='PURCHASEORDER' to determine the range of the index IDX_XDT_N7 that has to be scanned and uses the other predicates to filter out most of the index blocks. The second query uses an INDEX SKIP SCAN ignoring the first column of the index IDX_XDT_N4 and using the predicates for the following columns ("a"."XDT_DOCOWNERPAYPK"=1202829132 AND "XDT_DOCTYPE"='PURCHASEORDER') to get a much more selective access (reading only 330 blocks instead of > 60K).
I think there are two possible options to improve the performance:
1. If creating a new index is an option you could define an index on table A(xdt_doctype, xdt_docownerpaypk, xdt_createdt)
2. If creating a new index is not an option you could use an INDEX SKIP SCAN Hint (INDEX_SS(A IDX_XDT_N4)) to order the CBO to use the second index (without a hint the CBO tends to ignore the option of using a SKIP SCAN in an NL join). But using Hints in production is rarely a good idea... In 11g you could you sql baselines to avoid such hints in the code.
Regards
Martin

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