Question
Consider a single machine workstation to which jobs arrive according to a Poisson distribution with a mean arrival rate of 12 jobs/hour. The process time of the workstation is exponentially distributed with a mean of 4 minutes. The expected number of jobs at the workstation at any given point of time is ___________ (round off to the nearest integer).
Answer :
Correct answer is : 4
arrived rate follows Poisson distribution,
λ = 12 Jobs / hours
Service rate follows exponential distribution,
t = 4 minutes
Now,
Expected number of Jobs i.e. length of system.
∴ Ls = 4 Jobs
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