ANC CTLR; AND INVOLVED PLT; DESCRIBE RWY XING INCURSION INCIDENT.

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I WAS WORKING LCL CTL. LNDG RWY 14; DEPARTING RWY 24R CONFIGN. GRUMMAN ACFT LANDED RWY 14. GND CTL WAS REALLY BUSY; SO I ASKED THE GRUMMAN WHERE HE PARKED. HE STATED S AIRPARK (OTHER SIDE OF RWY 24R/L). I TOLD THE GRUMMAN TO 'REMAIN MY FREQ; PROCEED DOWN TXWY R TO TXWY K TO TXWY E AND HOLD SHORT OF RWY 24R.' HE DID NOT READ BACK THE HOLD SHORT INSTRUCTIONS. I KNEW THAT; BUT I HAD SOME TIME TO REPEAT IT. HE QUESTIONED THE RTE. AS HE APCHED TXWY K; I REPEATED MY INSTRUCTIONS TO THE GRUMMAN; 'TURN R AT TXWY E AND HOLD SHORT OF RWY 24R.' HE QUESTIONED TURNING AT TXWY E BECAUSE THERE WAS A SAAB ON TXWY K SHORT OF TXWY E WAITING FOR HIM. ACR X WAS CLRED FOR TKOF ON RWY 24R. GND HAD A LEARJET TO GET OUT FIRST; SO I CANCELED THE TKOF CLRNC FOR ACR X. LEARJET DEPARTED RWY 24R FROM INTXN B. I CLRED THE LEAR FOR TKOF. I EXPLAINED TO THE GRUMMAN THAT HE WAS HOLDING FOR THE LEARJET. HE ROLLED ACROSS RWY 24R AND SAID; 'XING THE RWY.' THERE WERE ABOUT 2 OTHER XMISSIONS THAT PARTIALLY BLOCKED HIM; AND I SAID; 'THANK YOU.' IN ANTICIPATION THAT HE WAS HOLDING; HE ROLLED ACROSS RWY 24R IN FRONT OF THE LEARJET AND I COULD NOT STOP HIM. IT WAS SO BUSY THAT I ALSO DID NOT TELL HIM TO CALL THE TWR FOR A POSSIBLE PLTDEV. SUPPLEMENTAL INFO FROM ACN 663496: THIS SITUATION HAPPENED ON TAXI IN FROM LNDG AT ANC INTL. THE GND CTL/TWR GAVE ME CLRNC TO TAXI ON TXWY M; TXWY R; TXWY K TO HOLD SHORT OF RWY 24R AT TXWY E. THEN I WAS TO CROSS RWY 24R; THEN CLRED A LEARJET TO TAKE OFF ON RWY 24R BEFORE I WAS ABLE TO CLR THE RWY IN USE. I HAD JUST STARTED TO CROSS THE RWY WHEN THE CTLR CLRED THEM FOR TKOF. I RESPONDED ON RADIO I WAS XING RWY 24R. I SAW THE SITUATION HAPPENING AND I EXPEDITED THE XING TO GET OUT OF THE WAY.