A B757-500 CREW FATIGUED BECAUSE OF CHANGING SLEEP PATTERNS WERE CONFUSED BY THE HOLD SHORT SIGNAGE FOR MIA RWY 27 AND INCURRED THE RWY.

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DURING TAXI TO RWY 27 AT MIA AS WE APCHED THE END OF THE RWY FROM TXWY Q; THE CAPT BECAME CONFUSED AS TO WHICH RWY TURN LED TO RWY 27 AND CROSSED RWY 27 MISTAKENLY TAXIING TO RWY 30. THE TWR NOTICED AND CLRED THE FLT TO DEP FROM RWY 30. THERE WAS NO OTHER TFC AND NO LOSS OF SEPARATION; HOWEVER THIS WAS IN REALITY A RWY INCURSION. WX WAS NO FACTOR. THE CREW HAD BRIEFED AND EXPECTED A RWY 30 DEP. AT THE ENTRY POINT TO RWY 27; THE SIGNAGE WAS VERY CONFUSING FOR BOTH PLTS. ALTHOUGH THE LAYOVER WAS LONG; BOTH THE CAPT AND THE FO HAD DISCUSSED THEIR UNUSUAL SLEEP PATTERNS FROM THE PREVIOUS NIGHT DURING THE RIDE TO THE ARPT. THE CAPT HAD FALLEN ASLEEP UPON ARR AT THE HOTEL THE PREVIOUS AFTERNOON; AND HAD TROUBLE GETTING TO SLEEP THAT NIGHT. THE FO HAD STAYED UP THROUGH THE AFTERNOON AND HAD FALLEN ASLEEP VERY EARLY IN THE EVENING ONLY TO BE AWAKEN LATE AT NIGHT BY A PHONE CALL. THE TWO PREVIOUS DAYS HAD BEEN VERY EARLY WAKE-UPS AND BOTH PLTS HAD FINISHED THE PREVIOUS MONTH'S SCHEDULE WITH HIGH TIME AND HAD A MINIMUM BREAK TO BEGIN THIS TRIP. I BELIEVE THAT CUMULATIVE FATIGUE WAS A FACTOR IN THIS INCIDENT. PERHAPS I SHOULD STICK TO THE 12 TO 13 HOUR DUTY DAYS WITH 10 HOUR LAYOVERS TO KEEP MY SLEEP CYCLE IN SYNC.