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*33. Consider two M / M / 1 queues with respective parameters in, m, i = 1, 2. Suppose they share a common waiting room

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*33. Consider two M / M / 1 queues with respective parameters in, m, i = 1, 2. Suppose they share a common waiting room that can hold at most three customers. That is, whenever an arrival nds her server busy and three customers in the wait- ing room, she goes away. Find the limiting probability that there will be :1 queue 1 customers and m queue 2 customers in the system. Hint: Use the results of Exercise 28 together with the concept of trunoation

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