The GPRS network has been well integrated in Global System for Mobile (GSM) network, the most dominant cellular standard, to accomplish efficient spectrum utilization for data traffic. It has become a popular service which carries critical business and social information of many subscribers. The issue of survivability for a GPRS network requires more investigation. This work introduces a new measure of survivability, Survivability Index (SI), which takes into account following important features of a GPRS network (i) success probability in uplink contention, (ii) average wait time to get a dedicated slots (iii) throughput and (iv) availability. A weighted sum form is proposed and Genetic Algorithm (GA) is used to find optimum values of weights. Considering various failure scenarios the Survivability Index has been evaluated for a GPRS network.