Question: 2. A storage system consists of three disk drives sharing a common queue. The average time to service an IO request is 50 ms. The

2. A storage system consists of three disk drives sharing a

2. A storage system consists of three disk drives sharing a common queue. The average time to service an IO request is 50 ms. The LO requests arrive to the storage system at the rate of 30 requests per second. Using an M/M/3 model for this system, determine the following: a. Average disk drive utilization (Ud) b. Probability of the system being idle, po (see the formula on p. 116 of the reader) c. Average number of jobs in the system (J) d. Average number of jobs waiting in the queue (Qw e. Mean response time (R) 2. A storage system consists of three disk drives sharing a common queue. The average time to service an IO request is 50 ms. The LO requests arrive to the storage system at the rate of 30 requests per second. Using an M/M/3 model for this system, determine the following: a. Average disk drive utilization (Ud) b. Probability of the system being idle, po (see the formula on p. 116 of the reader) c. Average number of jobs in the system (J) d. Average number of jobs waiting in the queue (Qw e. Mean response time (R)

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