Question: Outside Arrival Rates Open Networks Consider an open network consisting of two devices. Packets arrive to device 1 from outside with rate r1 jobs/sec. Packets

Outside Arrival Rates Open Networks

Consider an open network consisting of two devices. Packets arrive to device 1 from outside with rate r1 jobs/sec. Packets arrive to device 2 from outside with rater2 =10 jobs/sec. Assume 30% of the packet completing service at device 1 will next queue up at device 2 (the rest leave the system). Assume 50% of the packets completing service at device 2 will next queue up at device 1 (the rest leave the system). The mean service time at device 1 is E [S1 ] = .1 sec. The mean service time at device 2 is E [S2 ] = .05 sec.

(a) In this network, how high can we make r1?

(b) When r1 is maximized, what is the utilization of device 2?

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