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When an emergency happens, public communication networks, including cellular networks, public switched telecommunication networks, and the Internet can be utilized to support emergency communications. The admission control strategies currently employed by the Wireless Priority Service (WPS), however, have drawbacks of being not able to address dynamic traffic demands for different scenarios and locations. They assume a standard profile for emergency and public demand at all locations. In contrast, this paper presents an analytical modeling framework that creates flexible, adaptive algorithms for operators to easily use based on the specifics of each scenario. Numerical results show that this provides an obvious improvement over the existing approaches. The analysis approach provided here, that incorporates the reneging behavior of customers waiting for service, also presents another main contribution compared with past work for computing the average waiting time.