AFTER HOLDING FOR A WX DELAY NEAR FLL; A B757 PIC ELECTS TO DIVERT TO MIA WHEN THE FLT ATTENDANT IN THE CABIN SMELLED A STRONG ODOR OF BURNING RUBBER. AFTER THE DIVERSION; THE ACFT WAS ABANDONED AT THE GATE WHEN THE FUMES GOT STRONGER.

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THIS IS THE SEQUENCE OF EVENTS; AS I REMEMBER THEM: 1) WE WERE HOLDING ON ARR INTO FLL DUE TO WX (FLL WAS CLOSED). 2) WE RECEIVED A CALL FROM THE AFT FLT ATTENDANT RPTING A SMELL OF BURNING RUBBER/FUMES IN THE CABIN; SHE DIDN'T SEE SMOKE. 3) AFTER THE CAPT CONFERRED WITH HER; WE IMMEDIATELY REQUESTED DIVERSION TO MIA. 4) FLT ATTENDANTS KEPT US ADVISED OF THE SIT THROUGHOUT THE ARR; AND THE CONDITION HAD NOT WORSENED. 5) WE ADVISED DISPATCH; MIA OPS; AND MIA RAMP OF THE SIT; AND RECEIVED A GATE ASSIGNMENT. 6) LANDED WITHOUT INCIDENT; AND PROCEEDED TO THE GATE AFTER ADVISING RAMP OF OUR ARR. 7) ARRIVED AT GATE; DISCOVERED THAT THE GATE WAS CLUTTERED WITH OTHER AIRLINE RAMP EQUIP; AND NO PERSONNEL THERE. CALLED RAMP AND OPS; AND WAS ADVISED THAT THEY WERE ON THE WAY. 8) OTHER RAMP CREW FINALLY MOVED THEIR EQUIP AND MARSHALED THE ACFT TO THE GATE. 9) AT THE GATE; THERE WAS NO AGENT TO MOVE THE JET BRIDGE. AGAIN; WE CALLED OPS; THEY SAID THAT THEY WERE VERY BUSY WITH MANY DIVERSIONS; AND SOMEONE IS ON THE WAY. 10) A FEW MINS LATER; AND STILL NO AGENT; THE CAPT ASKED OPS IF THEY KNEW OUR SIT. THEY SAID THAT THEY WERE INFORMED THAT WE HAD DIVERTED FOR WX; AND ASKED IF WE HAD RECEIVED OUR FUEL YET. 11) CALLED DISPATCH AGAIN. 12) AGENT ARRIVED AND TOLD PAX TO REMAIN ON THE ACFT. 13) MAINT ARRIVED; BUT CAN'T ACCESS THE ACFT; BECAUSE NOBODY KNEW THE JET BRIDGE CODE FROM THE RAMP. 14) FLT ATTENDANT CALLED FROM THE AFT OF THE ACFT TO RPT THAT THE SMELL WAS GETTING WORSE. AT THE SAME TIME; I BEGAN TO FAINTLY SMELL THE FUMES. 15) WE IMMEDIATELY DISEMBARKED THE PAX; AGAINST THE AGENT'S WISHES.