RPTR COMPLAINT REGARDING CONFUSION TO BOTH PLT AND CTLR WHEN COMPANY SCHEDULES MANY FLTS WITH SIMILAR CALL SIGNS WITHIN ONE HALF HR PERIOD.

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DURING VECTORS FOR THE FINAL TO RWY 23L AT IND WE WERE ON APCH 119.3. CALL SIGN COMPANY DJJE. THE CTLR GAVE SEVERAL CLRNCS -- HDG AND ALT CHANGES TO COMPANY DJBE WHICH WERE INTENDED FOR COMPANY DJJE. WE WERE TO LAND RWY 23L; DJJE WAS TO LAND RWY 23R. THE INSTRUCTIONS GIVEN PUT DJJE AND DJBE INTO A POTENTIAL CONFLICT. THE ONLY WAY WE COULD SEPARATE WHAT HE WANTED WAS TO WAIT AND SEE WHICH ILS HE SAID TO INTERCEPT; RWY 23L AND RWY 23R. THIS IS NOT -- REPEAT NOT -- A CONDEMNATION OF THE CTLR. THERE ARE TOO MANY ACFT COMING INTO IND WITH THE SAME DJXX CALL SIGN! COMPANY HAS 15 FLTS WITH DJXX CALL SIGNS; ALL SCHEDULED TO LAND BEGINNING AT XX46 AND ENDING AT XY18 LCL. 15 SIMILAR CALL SIGNS WITHIN APPROX 30 MIN PERIOD. THIS IS A POTENTIAL FOR A MIDAIR. TRY AS WE MIGHT; WE CAN'T GET THE HUMAN FACTOR OUT OF THE LOOP. PLTS OR CTLRS WILL MAKE MISTAKES. PLEASE BRING THIS TO THE ATTN OF FAA; AND COMPANY MGMNT; SOMEBODY WHO CAN GET IT CHANGED. I'VE TRIED INTERNALLY AND I GET NOWHERE! AS IT WAS; ALL I HAD TO DO WAS A GAR!