Abstract
We consider an M/M/c queuing system, which occasionally suffers disastrous failure and all the customers are lost. The repair mechanism starts immediately. When the system is down, the stream of arrivals continue. However the new arrivals become impatient and activate their own timer. If the system is still down when the timer expires, the customer abandons the system never to return. We obtain the exact transient solution for the system by a direct approach. Mathematics Subject Classification: Primary 60K25, Secondary 68M20
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