(a) What is the average system utilization? (b) What is the average number of customers in the system? (c) What is the average number of customers waiting in line? (d) What is the average time a customer spends in the system? (e) What is the average time a customer spends waiting in line?

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter25: Surge, Spike, And Lightning Protection
Section: Chapter Questions
Problem 11RQ: In reference to the load, how are MOVs connected to help prevent voltage spikes and surges? Are MOVs...
icon
Related questions
icon
Concept explainers
Question

Part D and E 

Question No.5:
The local Division of Motor Vehicles (DMV) is concerned with its waiting line system.
Currently, the DMV uses a single server, when processing license renewals, based on
historical evidence, the average number of cu
The local Division of Motor Vehicles (DMV) is concerned with its waiting line system.
Currently, the DMV uses a single-server, single-line, single-phase system when processing
license renewals. Based on historical evidence, the average number of customers arriving per
hour is 12 and is described by a Poisson distribution. The service rate is 18 customers per
hour with the service times following an exponential distribution. The customers are patient
and come from an infinite population. The manager of the DMV would like you to calculate
the operational characteristics of the waiting line system.
(a) What is the average system utilization?
(b) What is the average number of customers in the system?
(c) What is the average number of customers waiting in line?
(d) What is the average time a customer spends in the system?
(e) What is the average time a customer spends waiting in line?
Transcribed Image Text:Question No.5: The local Division of Motor Vehicles (DMV) is concerned with its waiting line system. Currently, the DMV uses a single server, when processing license renewals, based on historical evidence, the average number of cu The local Division of Motor Vehicles (DMV) is concerned with its waiting line system. Currently, the DMV uses a single-server, single-line, single-phase system when processing license renewals. Based on historical evidence, the average number of customers arriving per hour is 12 and is described by a Poisson distribution. The service rate is 18 customers per hour with the service times following an exponential distribution. The customers are patient and come from an infinite population. The manager of the DMV would like you to calculate the operational characteristics of the waiting line system. (a) What is the average system utilization? (b) What is the average number of customers in the system? (c) What is the average number of customers waiting in line? (d) What is the average time a customer spends in the system? (e) What is the average time a customer spends waiting in line?
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Protection System in Power Plant
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning