OUT OF LAS; A PLT OF A BE200 TOOK OFF USING THE RWY EDGE LIGHTS INSTEAD OF THE CTRLINE LIGHTS.

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ON TKOF FROM LAS; FATIGUE; NIGHT AND A LITTLE CONFUSION. I WAS CLRED FOR TKOF ON RWY 19R. I TAXIED VIA THE TAXI LINE/GREEN LIGHTS TO WHAT I THOUGHT WAS THE CTR OF THE RWY AND BEGAN MY TKOF ROLL. I CAME INSIDE TO VERIFY AUTOFEATHER ARMED; GAUGES GOOD; 80 KTS AND WHEN I LOOKED OUTSIDE I SAW WHITE LIGHTS IN FRONT ON ME. MY INITIAL THOUGHT WAS CTRLINE LIGHTING AND TO KEEP THE NOSEWHEEL TO THE R TO AVOID THE 'BUMPING' CAUSED BY DRIVING OVER THEM. I ROTATED AND CONFUSION SET IN WHEN I SAW THE L VASI MUCH CLOSER TO THE ACFT THAN IT SHOULD HAVE BEEN. LOOKING FORWARD I SAW THE RWY EDGE LIGHT SLIGHTLY UNDER MY ACFT AND THE GREEN TAXI LEADOFF LIGHTS TO MY R. I RAN OVER THE RWY EDGE LIGHT NOT CTRLINE LIGHTING. NO PROP VIBRATION AND I COULDN'T SEE ANY LIGHTS OUT WHEN I TURNED. A MOONEY DEPARTED IMMEDIATELY AFTER AND I HEARD NO COMMENT NOR ANYTHING FROM TWR. IT HAD BEEN A LONG DAY AND TURNING INTO A LONGER NIGHT AND I WAS EXTREMELY TIRED. LATER IN THE FLT; FATIGUE AGAIN SHOWED ITSELF IN MY KICKING THE AUTOPLT OFF AND NOT REALIZING IT UNTIL I HAD STARTED A SLOW TURNING DSCNT. I CAUGHT IT ABOUT 100 FT OFF AND 20 DEGS OF HDG. ONCE HOME; I DID A THOROUGH EXAMINATION OF THE ACFT AND SAW NO EVIDENCE OF RUNNING OVER ANYTHING. I KNEW I WAS TIRED AND WAS TRYING TO TAKE EXTRA TIME AND BE CAREFUL. HOPEFULLY; THIS TIME A LITTLE LUCK WAS ON MY SIDE. I'VE NO SOLUTION TO LONG; FULL; MULTIPLE HOPS; SINGLE PLT DUTY DAYS THAN TO BE AS CAREFUL AS POSSIBLE -- SOMETIMES IT'S JUST NOT ENOUGH. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATES THAT THE COMPANY IS AN ON DEMAND CHARTER ORGANIZATION; PART 135; AND THE PLTS RECEIVE CALLS IN THAT MANNER; OFTEN LATE AT NIGHT AND FLYING THROUGH THE NIGHT. THUS; THE FATIGUE IS GREAT. MOST OF THE OP IS WITH PAX; BUT THIS TRIP THE RPTR WAS ALONE. THE COMPANY HAS PUBLISHED INFO REGARDING DAYS OFF AND HRS TO FLY; BUT DOES NOT ADHERE TO THE WRITTEN WORD. THERE ARE FOOTNOTES INDICATING MANY EXCEPTIONS. RPTR AND MANY OTHER PLTS ARE LOOKING FOR OTHER JOBS AS THERE IS MUCH DISCONTENT.