Question

A multiple-channel queuing system with a Poisson arrival rate and an exponential service time has an average arrival rate of 4 customers per hour and an average service time of 18 minutes per customer. The minimum number of servers required to avoid an overloaded system is _________.A) 1

B) 2
C) 3
D) 4

Answer 1

minimum number of server is = 2

so correct option is B) 2

Step-by-step explanation:

given data

customers = 4

service time = 18 minutes per customer =
`(18)/(60)` hr = 0.3 hr

to find out

minimum number of server

solution

we get here first min servers that is

min servers = 4 × 0.3

min servers = 1.2

so here minimum number of server is = 2

servers cant be in fractions ( as only whole number of server is possible)

so correct option is B) 2