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THE GROWING DEMAND FOR DIFFERENTIATED QUALITY OF SERVICE REQUIREMENTS OF VARIOUS MOBILE APPLICATIONS ESTABLISHES THE NEED FOR ELASTIC CLOUDLET RE SOURCE ALLOCATIONS. HERE, WE CONSIDER THE DYNAMIC OPTIMIZATION OF RESOURCE ALLOCATIONS IN REMOTE, AS WELL AS EDGE CLOUD INFRASTRUCTURES. WE CONSIDER TIME VARYING APPLICATION DEMANDS AND OPTIMIZE THE CLOUDLET RESOURCE ALLOCATION OVER A FINITE TIME HORIZON SHOWING THAT THE CORRESPONDING COMPUTATIONAL EFFORT IS REDUCED BY THREE ORDERS OF MAGNITUDE.