In this paper, a modified resource auction multiple access for wireless PCS is proposed in response to the disadvantage of RAMA wherein auction slots are wasted in the assignment cycle. A fast and flexible access, handoff and resource assignment are assured by adopting the auction table and the combined preemptive-nonpreemptive priority scheme, in which the auction table is updated in parallel with resource assignment period. Using selected GSM parameters with MRAMA, the performances are always improved over RAMA.