A multiple server queuing system has a Poisson arrival rate of 9 per hour and exponential service time averaging 5 per hour.Server cost is $100 per hour and the cost of waiting is $360 per hour.Based on total cost,how many servers should be staffed?
A)2
B)3
C)4
D)5
E)6

Question

Quizplus · Accepted Answer

To minimize total cost, we need to balance server costs and waiting costs. With 4 servers, the system can handle the arrival rate efficiently, reducing waiting time and cost, while keeping server costs reasonable.

A Multiple Server Queuing System Has a Poisson Arrival Rate