Mathematics: Customers enter the waiting line at a cafeteria on a first-come, first-served basis. the arrival rate follows a poisson distribution, while service times follow an exponential distribution. if the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what is the average number of customers in the system? a.0.43 b. 1.67 c. 0.57 d. 1.33 e. none of the above

Customers enter the waiting line at a cafeteria on

temoshojayne

12.01.2022

The average number of customers in the system is 1.33 customers (option D).

Step-by-step explanation:

This is a problem of queing theory (single-server waiting line).

We have that the arrival rate is $\lambda=4$ and the service rate is $\mu=7$ .

The formula for the average number of customers in the system is:

$L=\frac{\lambda}{\mu-\lambda}=\frac{4}{7-4}=\frac{4}{3}=1.33$

0,0(0 оценок)

gursparks

02.03.2022

11+m = 15

m = 4

Step-by-step explanation:

Sum means add and is means equals

11+m = 15

Subtract 11 from each side

11+m-11 =15-11

m = 4

0,0(0 оценок)