A service center consistes of two servers each working at an

A service center consistes of two servers, each working at an exponential rate of two services per hour. If customers arrives at a Poisson rate of three per hour, then, assuming a system capacity of at most three customers,

Solution

There are two servers and each follow exponential with parameter 2.

No of customers arriving follow Poisson at a rate of 3 per hour.

a) Fraction of potential customers = 3/2x2 = 0.75

b) if there is a single server with exponential rate 4, then

fraction of potential customers = 3/4 = 0.75

Hence remains the same.