An analytic framework is devised for the performance modelling and evaluation of a wireless Global System for Mobile Telecommunication (GSM) cell with General Packet Radio Service (GPRS) supporting both multiple class voice and data services, respectively, under an aggregate sharing scheme (ASS). The investigation focuses on the study of a proposed GE/GE/c/N/PR/CBS queueing system with c (¿1) servers, finite capacity, N (¿c), generalised exponential (GE) GSM/GPRS interarrival and service times under pre-emptive resume (PR) priority rule and complete buffer sharing (CBS) scheme. The principle of maximum entropy (ME) is used t ocharacterise new closed form expressions for the state and blocking probabilities, subject to appropriate GE-type queueing theoretic constraints per class. Typical numerical examples are included to validate the ME solution against simulation at 95% confidence intervals and study the effect of external GMS/GPRS bursty traffic upon the performance of the cell.