A data storage system consists of 3 disk drives sharinga common queue. An average of 50 storage requests arriveper second. The average time required to service a requestis .03 second. Assuming that interarrival times and servicetimes are exponential, determine:a The probability that a given disk drive is busyb The probability that no disk drives are busyc The probability that a job will have to waitd The average number of jobs present in the storagesystem
A data storage system consists of 3 disk drives sharinga common queue. An average of 50 storage requests arriveper second. The average time required to service a requestis .03 second. Assuming that interarrival times and servicetimes are exponential, determine:a The probability that a given disk drive is busyb The probability that no disk drives are busyc The probability that a job will have to waitd The average number of jobs present in the storagesystem
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A data storage system consists of 3 disk drives sharing
a common queue. An average of 50 storage requests arrive
per second. The average time required to service a request
is .03 second. Assuming that interarrival times and service
times are exponential, determine:
a The probability that a given disk drive is busy
b The probability that no disk drives are busy
c The probability that a job will have to wait
d The average number of jobs present in the storage
system
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