3 35 The customers go to the company are at the rate of one arrival every 12 minutes. The time between arrivals follows an exponential distribution. Each customer gets the service with mean 8 minutes. There is just one person to serve. Company management wants to learn performance values for the service. Answer the following questions for the company. a. Determine the arrival frequency, service frequency and system utilization factor b. Determine the probability that no customer in the service c. Determine expected number of customers in system d. Determine expected number of customers in queue e. Determine expected waiting time in system f. Determine expected waiting time in queue

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 26P
icon
Related questions
Question
3 35 The customers go to the company are at the rate of one arrival every 12 minutes. The time
between arrivals follows an exponential distribution. Each customer gets the service with mean 8
minutes. There is just one person to serve. Company management wants to learn performance values
for the service. Answer the following questions for the company.
a. Determine the arrival frequency, service frequency and system utilization factor
b. Determine the probability that no customer in the service
c. Determine expected number of customers in system
d. Determine expected number of customers in queue
e. Determine expected waiting time in system
f. Determine expected waiting time in queue
Transcribed Image Text:3 35 The customers go to the company are at the rate of one arrival every 12 minutes. The time between arrivals follows an exponential distribution. Each customer gets the service with mean 8 minutes. There is just one person to serve. Company management wants to learn performance values for the service. Answer the following questions for the company. a. Determine the arrival frequency, service frequency and system utilization factor b. Determine the probability that no customer in the service c. Determine expected number of customers in system d. Determine expected number of customers in queue e. Determine expected waiting time in system f. Determine expected waiting time in queue
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,