Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator.Arrivals follow a Poisson distribution and service times are exponentially distributed.The following spreadsheet has been developed for the system.

-Refer to Exhibit 13.1.What is average amount of time spent waiting in line?
A)0.375
B)0.50
C)2.25
D)3.00

Question

Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator.Arrivals follow a Poisson distribution and service times are exponentially distributed.The following spreadsheet has been developed for the system.
 
-Refer to Exhibit 13.1.What is average amount of time spent waiting in line?
A)0.375 
B)0.50 
C)2.25 
D)3.00

Quizplus · Accepted Answer

The average time spent waiting in line is given by the queuing formula 𝑊= 𝜌/(𝜇(𝜇-𝜌)), where 𝜌 is the arrival rate and 𝜇 is the service rate. From the spreadsheet output, 𝜌 = 5 and 𝜇 = 8. Therefore, 𝑊= 5/(8(8-5)) = 0.375.

There are no other choices provided, so there is no need for further explanation.

Exhibit 13.1 The Following Questions Are Based on the Output Below