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General Packet Radio Service (GPRS) is a system for efficient data packet radio transmission services which is used in conjunction with the Global System for Mobile Communications (GSM) system. The three mobile station (MS) states idle, ready, and standby are defined for efficient management of radio resources and signaling networks. The MS state transition behavior is modeled and the steady state probability of the MS states is derived using a semi-Markov process approach. The effect of various input parameters on the steady state probability is investigated. These results can be used in analyzing the effect of the input parameters on the tradeoff between location update and paging signaling, and thus, providing guidelines for proper selection of GPRS system parameters.