Individuals on active duty military orders stationed in Alaska that choose to remain a resident of another state are not required to obtain a license in Alaska. This applies only to active duty personnel and not to dependents. Military dependents are required to surrender their out of state license and obtain a license in Alaska.
Please check directly with the state you are a resident of to determine if they have a military extension policy or what is required to renew your license in that state while living in Alaska. If you hold a commercial driver's license, be sure to specify in your request as there are differences in the military policy for commercial and non-commercial licenses.