Why is the Star Transformation using two indexes for the same dimension?

Hi,
Recently, I have made an investigation about the Star Transformation feature. I have found a strange test case, which plays an important role in my strategy for our overall DWH architecture. Here it is:
The Strategy:
I would like to have the classical Star Transformation approach (single column Bitmap Indexes for each dimension foreign key column in the fact table), together with additional Bitmap Join Indexes for some of the dimension attributes, which would benefit from the materialization of the join (bitmap merge operation will be skipped/optimized).
The query:
select dp.brand, ds. region_name, dc.region_name
     , count(*), sum(f.extended_price)
  from fact_line_item  f
     , dim_part       dp
     , dim_supplier   ds
     , dim_customer   dc
where dp.mfgr        = 10                 -- dimension selectivity = 1/10 --> acttual/fact selectivity = 6/10
   and f.part_dk      = dp.dk
   and ds.region_name = 'REGION #1' -- dimension selectivity = 1/9
   and f.supplier_dk  = ds.dk
   and dc.region_name = 'REGION #1' -- dimension selectivity = 1/11
   and f.customer_dk  = dc.dk
group by dp.brand, ds. region_name, dc.region_name
The actual plan:
| Id  | Operation                              | Name                        | Starts | E-Rows | Cost (%CPU)| A-Rows |   A-Time   | Buffers | Reads  |
|   0 | SELECT STATEMENT                       |                             |      1 |        |  3247 (100)|      1 |00:01:42.05 |     264K|    220K|
|   1 |  HASH GROUP BY                         |                             |      1 |      2 |  3247   (1)|      1 |00:01:42.05 |     264K|    220K|
|*  2 |   HASH JOIN                            |                             |      1 |  33242 |  3037   (1)|    217K|00:01:29.67 |     264K|    220K|
|*  3 |    TABLE ACCESS FULL                   | DIM_SUPPLIER                |      1 |   1112 |   102   (0)|   1112 |00:00:00.01 |     316 |      4 |
|*  4 |    HASH JOIN                           |                             |      1 |  33245 |  2934   (1)|    217K|00:01:29.10 |     264K|    220K|
|*  5 |     TABLE ACCESS FULL                  | DIM_CUSTOMER                |      1 |    910 |   102   (0)|    910 |00:00:00.08 |     316 |      8 |
|*  6 |     HASH JOIN                          |                             |      1 |  33248 |  2831   (1)|    217K|00:01:28.57 |     264K|    220K|
|*  7 |      TABLE ACCESS FULL                 | DIM_PART                    |      1 |     10 |     3   (0)|     10 |00:00:00.01 |       6 |      0 |
|   8 |      PARTITION RANGE ALL               |                             |      1 |  36211 |  2827   (1)|    217K|00:01:28.01 |     264K|    220K|
|   9 |       TABLE ACCESS BY LOCAL INDEX ROWID| FACT_LINE_ITEM              |      6 |  36211 |  2827   (1)|    217K|00:01:33.85 |     264K|    220K|
|  10 |        BITMAP CONVERSION TO ROWIDS     |                             |      6 |        |            |    217K|00:00:07.09 |   46980 |   3292 |
|  11 |         BITMAP AND                     |                             |      6 |        |            |     69 |00:00:08.33 |   46980 |   3292 |
|  12 |          BITMAP MERGE                  |                             |      6 |        |            |    193 |00:00:02.09 |    2408 |   1795 |
|  13 |           BITMAP KEY ITERATION         |                             |      6 |        |            |   4330 |00:00:04.66 |    2408 |   1795 |
|  14 |            BUFFER SORT                 |                             |      6 |        |            |     60 |00:00:00.01 |       6 |      0 |
|* 15 |             TABLE ACCESS FULL          | DIM_PART                    |      1 |     10 |     3   (0)|     10 |00:00:00.01 |       6 |      0 |
|* 16 |            BITMAP INDEX RANGE SCAN     | FACT_LI__P_PART_DIM_KEY_BIX |     60 |        |            |   4330 |00:00:02.11 |    2402 |   1795 |
|* 17 |          BITMAP INDEX SINGLE VALUE     | FACT_LI__P_PART_MFGR_BJX    |      6 |        |            |   1747 |00:00:06.65 |     890 |    888 |
|  18 |          BITMAP MERGE                  |                             |      6 |        |            |    169 |00:00:02.78 |   16695 |    237 |
|  19 |           BITMAP KEY ITERATION         |                             |      6 |        |            |   5460 |00:00:01.56 |   16695 |    237 |
|  20 |            BUFFER SORT                 |                             |      6 |        |            |   5460 |00:00:00.02 |     316 |      0 |
|* 21 |             TABLE ACCESS FULL          | DIM_CUSTOMER                |      1 |    910 |   102   (0)|    910 |00:00:00.01 |     316 |      0 |
|* 22 |            BITMAP INDEX RANGE SCAN     | FACT_LI__P_CUST_DIM_KEY_BIX |   5460 |        |            |   5460 |00:00:02.07 |   16379 |    237 |
|  23 |          BITMAP MERGE                  |                             |      6 |        |            |    170 |00:00:03.65 |   26987 |    372 |
|  24 |           BITMAP KEY ITERATION         |                             |      6 |        |            |   6672 |00:00:02.23 |   26987 |    372 |
|  25 |            BUFFER SORT                 |                             |      6 |        |            |   6672 |00:00:00.01 |     316 |      0 |
|* 26 |             TABLE ACCESS FULL          | DIM_SUPPLIER                |      1 |   1112 |   102   (0)|   1112 |00:00:00.01 |     316 |      0 |
|* 27 |            BITMAP INDEX RANGE SCAN     | FACT_LI__S_SUPP_DIM_KEY_BIX |   6672 |        |            |   6672 |00:00:02.74 |   26671 |    372 |
The Question:
Why is the Star Transformation using both indexes FACT_LI__P_PART_DIM_KEY_BIX and FACT_LI__P_PART_MFGR_BJX for the same dimension criteria (dp.mfgr = 10)?? The introduction of the additional Bitmap Join Index actually make Oracle to do the work twice !!!
Anybody, any idea ?!?

Dom, here it is the plan with the predicates:
| Id  | Operation                              | Name                        | Starts | E-Rows | Cost (%CPU)| A-Rows |   A-Time   | Buffers | Reads  |
|   0 | SELECT STATEMENT                       |                             |      1 |        |  3638 (100)|      1 |00:06:41.17 |     445K|    236K|
|   1 |  HASH GROUP BY                         |                             |      1 |      2 |  3638   (1)|      1 |00:06:41.17 |     445K|    236K|
|*  2 |   HASH JOIN                            |                             |      1 |  33242 |  3429   (1)|    217K|00:08:18.02 |     445K|    236K|
|*  3 |    TABLE ACCESS FULL                   | DIM_SUPPLIER                |      1 |   1112 |   102   (0)|   1112 |00:00:00.03 |     319 |    313 |
|*  4 |    HASH JOIN                           |                             |      1 |  33245 |  3326   (1)|    217K|00:08:17.47 |     445K|    236K|
|*  5 |     TABLE ACCESS FULL                  | DIM_CUSTOMER                |      1 |    910 |   102   (0)|    910 |00:00:00.01 |     319 |    313 |
|*  6 |     HASH JOIN                          |                             |      1 |  33248 |  3223   (1)|    217K|00:08:16.63 |     445K|    236K|
|*  7 |      TABLE ACCESS FULL                 | DIM_PART                    |      1 |     10 |     3   (0)|     10 |00:00:00.01 |       6 |      0 |
|   8 |      PARTITION RANGE ALL               |                             |      1 |  36211 |  3219   (1)|    217K|00:08:16.30 |     445K|    236K|
|   9 |       TABLE ACCESS BY LOCAL INDEX ROWID| FACT_LINE_ITEM              |      6 |  36211 |  3219   (1)|    217K|00:08:40.89 |     445K|    236K|
|  10 |        BITMAP CONVERSION TO ROWIDS     |                             |      6 |        |            |    217K|00:00:32.00 |   46919 |  19331 |
|  11 |         BITMAP AND                     |                             |      6 |        |            |     69 |00:00:34.50 |   46919 |  19331 |
|  12 |          BITMAP MERGE                  |                             |      6 |        |            |    193 |00:00:00.58 |    2353 |      1 |
|  13 |           BITMAP KEY ITERATION         |                             |      6 |        |            |   4330 |00:00:00.10 |    2353 |      1 |
|  14 |            BUFFER SORT                 |                             |      6 |        |            |     60 |00:00:00.01 |       6 |      0 |
|* 15 |             TABLE ACCESS FULL          | DIM_PART                    |      1 |     10 |     3   (0)|     10 |00:00:00.01 |       6 |      0 |
|* 16 |            BITMAP INDEX RANGE SCAN     | FACT_LI__P_PART_DIM_KEY_BIX |     60 |        |            |   4330 |00:00:00.07 |    2347 |      1 |
|* 17 |          BITMAP INDEX SINGLE VALUE     | FACT_LI__P_PART_MFGR_BJX    |      6 |        |            |   1747 |00:01:23.64 |     882 |    565 |
|  18 |          BITMAP MERGE                  |                             |      6 |        |            |    169 |00:00:09.14 |   16697 |   7628 |
|  19 |           BITMAP KEY ITERATION         |                             |      6 |        |            |   5460 |00:00:02.19 |   16697 |   7628 |
|  20 |            BUFFER SORT                 |                             |      6 |        |            |   5460 |00:00:00.01 |     316 |      0 |
|* 21 |             TABLE ACCESS FULL          | DIM_CUSTOMER                |      1 |    910 |   102   (0)|    910 |00:00:00.01 |     316 |      0 |
|* 22 |            BITMAP INDEX RANGE SCAN     | FACT_LI__P_CUST_DIM_KEY_BIX |   5460 |        |            |   5460 |00:00:08.78 |   16381 |   7628 |
|  23 |          BITMAP MERGE                  |                             |      6 |        |            |    170 |00:00:21.46 |   26987 |  11137 |
|  24 |           BITMAP KEY ITERATION         |                             |      6 |        |            |   6672 |00:00:10.29 |   26987 |  11137 |
|  25 |            BUFFER SORT                 |                             |      6 |        |            |   6672 |00:00:00.01 |     316 |      0 |
|* 26 |             TABLE ACCESS FULL          | DIM_SUPPLIER                |      1 |   1112 |   102   (0)|   1112 |00:00:00.01 |     316 |      0 |
|* 27 |            BITMAP INDEX RANGE SCAN     | FACT_LI__S_SUPP_DIM_KEY_BIX |   6672 |        |            |   6672 |00:00:20.94 |   26671 |  11137 |
Predicate Information (identified by operation id):                                                                                                  
   2 - access("F"."SUPPLIER_DK"="DS"."DK")                                                                                                           
   3 - filter("DS"."REGION_NAME"='REGION #1')                                                                                                        
   4 - access("F"."CUSTOMER_DK"="DC"."DK")                                                                                                           
   5 - filter("DC"."REGION_NAME"='REGION #1')                                                                                                        
   6 - access("F"."PART_DK"="DP"."DK")                                                                                                               
   7 - filter("DP"."MFGR"=10)                                                                                                                        
  15 - filter("DP"."MFGR"=10)                                                                                                                        
  16 - access("F"."PART_DK"="DP"."DK")                                                                                                               
  17 - access("F"."SYS_NC00017$"=10)                                                                                                                 
  21 - filter("DC"."REGION_NAME"='REGION #1')                                                                                                        
  22 - access("F"."CUSTOMER_DK"="DC"."DK")                                                                                                           
  26 - filter("DS"."REGION_NAME"='REGION #1')                                                                                                        
  27 - access("F"."SUPPLIER_DK"="DS"."DK")                                                                                                           
Note                                                                                                                                                 
   - star transformation used for this statement                                                                                                     

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