AN FK100; FAY-CLT; IS DELAYED FOR 45 MINS. THE CONTINUATION FLT; ANOTHER FK100 ACFT; DEPARTS CLT ON TIME WITH THE SAME FLT NUMBER FOR ROC. RELIEVING DISPATCHER FINDS THIS OUT AS BOTH FLTS BECOME AIRBORNE AT THE SAME TIME.

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WHEN I TOOK OVER FOR THE AFTERNOON SHIFT; THE MORNING GUY TOLD ME OF DELAY TO FAY DUE TO A MAINT PROB. FOR THE NEXT 30 MINS I HAD A PROB WITH THE RADAR ON MY COMPUTER. I CALLED OUR COMPUTER SUPPORT AND THEY SAT DOWN AT MY POS AND REBOOTED MY COMPUTER. WHEN MY COMPUTER CAME BACK AND WAS WORKING AGAIN; I NOTICED THAT THE FLT THAT HAD TAKEN A MECHANICAL DELAY WAS AIRBORNE OUT OF FAY 1 HR 30 MINS LATE; ENRTE TO CLT. ALSO; ANOTHER ACFT HAD TAKEN OFF OUT OF CLT WITH THE SAME CALL SIGN ENRTE TO ROC. THE 2 ACFT WERE OFF THE GND ONLY 1 MIN APART. ONE INBOUND TO CLT FROM FAY AND THE OTHER OUTBOUND FROM CLT. I WAS NEVER GIVEN ANY NOTICE OF ANOTHER ACFT FLYING THE SECOND LEG OUT OF CLT. NORMALLY THE COMPUTER GIVES US A MESSAGE OF AN AIR CONFLICT; BUT I RECEIVED NONE UNTIL AFTER THE 2 ACFT WERE ALREADY IN THE AIR. WE ALSO HAVE A GRAPHIC DISPLAY ON THE COMPUTER OF ALL THE FLTS WE ARE TRACKING AT OUR DESK; BUT THIS COMPUTER WAS BEING FIXED DUE TO A RADAR PROB ON THAT SET. I IMMEDIATELY CONTACTED CLT APCH AND THEY TOLD ME TO HAVE THE INBOUND FLT ADD A 'W' TO HIS FLT NUMBER; WHICH I DID. I BELIEVE A BETTER WARNING SHOULD BE INSTALLED TO HELP AVOID AIR CONFLICTS.