AN MD-11 FLC DEPARTED THE PAVED TXWY SURFACE WHILE TAXIING AT CDG; FO.

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UPON LNDG ON RWY 27 AT CDG AT NIGHT AND IN POOR WX DUE TO GUSTY WINDS AND RAIN; THE ACFT EXITED THE RWY AT HIGHSPD TXWY 11. TWR INSTRUCTED THAT CONTACT BE MADE WITH ATC GND CTLRS AND INSTRUCTIONS RECEIVED WERE 'TAXI SPOT 1 - INDIA 47.' THE CREWMEMBERS HAD THE ARPT DIAGRAM OPEN AND DISPLAYED AS REQUIRED BY THE COMPANY. THE TXWYS WERE POORLY LIT AND AT THE INTERSECTION OF TXWY 11 AND TXWY B; THE CREW SAW BRIGHTLY LIT GREEN TAXI LIGHTS 90 DEGS TO THE R AND POORLY LIT GREEN TAXI LIGHTS IN FRONT OF ACFT. CREW CHOSE TO TURN TO THE W ON TXWY B AS INDICATED AND ALLOWED BY ONE WAY ARROWS ON ARPT CHART. DURING TURN ONTO TXWY B; R MAINS AND PORTION OF CTR GEAR DEPARTED HARD SURFACE. NUMBER 3 ENG WAS SHUTDOWN AS A PRECAUTION AGAINST FOD. A TXWY SIGN FOR TXWY 11 WAS NOT PROPERLY LIT TO IDENTIFY POS DUE TO NON-ILLUSTRATED NUMBER ON THE SIGN. GND CTLRS AND COMPANY OPS ADVISED OF SIT. NO DAMAGE FOUND TO ACFT WHICH WAS PREPARED FOR NEXT FLT SHORTLY THEREAFTER. CHAIN OF EVENTS: GUST CROSSWINDS; THUNDERSTORMS; END OF A LONG CREW DUTY DAY. TXWY SIGNS NEED TO BE REPAIRED IMMEDIATELY AND BURNED OUT BULBS REPLACED IMMEDIATELY. MANY TXWY LIGHTS AND SIGNS BURNED OUT AT CDG. POORLY LIT TXWYS THROUGHOUT ARPT. TAXI DIAGRAM NEEDS TO SHOW WHERE WIDE BODIES CAN TURN AND NOT TURN BASED ON WIDE ENOUGH FILLETS TO HANDLE MAIN TRUCKS OF WIDE BODIES. COMPANY NEEDS TO BE MORE PROACTIVE IN IDENTIFYING POOR FILLETS AT CDG AND WARNING AIRCREWS NOT TO TURN ON THESE INADEQUATE FILLETS. COMPANY KNEW FOR TWO WEEKS PRIOR TO THIS INCIDENT THAT THERE HAD BEEN TAXI PROBLEMS INTO AND OUT OF THE NEW RAMP AT CDG. THERE HAD BEEN MUD AND GRASS SHOWING UP ON ANOTHER DC-10 AND ANOTHER MD-11 AND THE COMPANY DID NOTHING TO INFORM FLT MANAGEMENT; FLT SAFETY; FLT STANDARDS OR FLT TRAINING TO WARN OTHER AIRCREWS OF DANGERS OF TXWY FILLETS NOT BEING STRESSED TO HANDLE WIDE BODIES. HUMAN PERFORMANCE CONSIDERATIONS: CREWS NEED BETTER OPPORTUNITY TO GET QUALITY REST NOT JUST OPPORTUNITY TO SLEEP BUT CHANCE TO GET RESTFUL SLEEP BASED ON CIRCADIAN RYTHM.