online airline reservation processing system handles randomly-arriving reservations. Requests arrive at a rate of 300 per hour and take about 8 seconds to process (depending upon complexity). Assume ample buffering and exponential arrival and processing times. A. What is the average number of requests in the system? Average wait time in the queue? B. What is the probability that there are less than 10 requests in the system? C. If 30% of the servers in the system go offline for service will the system remain stable? What is the average number of requests in the system then, or will they grow unboundedly? D. The airline adds a smaller reservation system to reduce delays. This system handles one third (33.33%) of incoming requests and takes about 12 seconds to process one request. If incoming requests are separately buffered for each system, what is the average number of requests in the new system and the average wait time in the new system? E. In Part D above, what is the average wait time across both systems now? How does (or does not) the addition of this second system help
online airline reservation processing system handles randomly-arriving reservations. Requests
arrive at a rate of 300 per hour and take about 8 seconds to process (depending upon complexity).
Assume ample buffering and exponential arrival and processing times.
A. What is the average number of requests in the system? Average wait time in the queue?
B. What is the probability that there are less than 10 requests in the system?
C. If 30% of the servers in the system go offline for service will the system remain stable? What
is the average number of requests in the system then, or will they grow unboundedly?
D. The airline adds a smaller reservation system to reduce delays. This system handles one third
(33.33%) of incoming requests and takes about 12 seconds to process one request. If incoming
requests are separately buffered for each system, what is the average number of requests in the
new system and the average wait time in the new system?
E. In Part D above, what is the average wait time across both systems now? How does (or does
not) the addition of this second system help
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