Question

Huduko Inc. offers a number of computer services. Huduko operates with a utilization of 30 percent. The interarrival time of jobs is 8 milliseconds (0.008 second) with a coefficient of variation of 1.5. On average, there are 20 jobs waiting in the queue to be served and 60 jobs in process (i.e., being processed by a server rather than waiting to be sent to a server for processing).
Required:
How many servers do they have in this system?

Answer 1

Answer:

Huduko Inc.

The number of servers in this system is:

= 200.

Explanation:

a) Data and Calculations:

Utilization rate = 30%

Interarrival time of jobs = 8 milliseconds (0.008)

Coefficient of variation = 1.5

Average jobs waiting in the queue to be served = 20

Number of jobs in process = 60

Number of servers processing the 60 jobs = 60

Since the number of servers processing at a time is 60 with a utilization rate of 30%, it means that there are 200 servers in the system (60/30%).