Question

You own a barbershop with 2 chairs. The individuals waiting for service go to the next...

You own a barbershop with 2 chairs. The individuals waiting for service go to the next available chair (2 channels).  The mean arrival rate is 8 people per hour. The mean service rate is 5 units per hour for each chair. Find the following:

What is the probability that no one is in the system?

What is the average number of people in the system?

What is the average time a person waits for service?

What is the average time a person is in the system?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You own a barbershop with 2 chairs (2 channels). The mean arrival rate is 8 people...
You own a barbershop with 2 chairs (2 channels). The mean arrival rate is 8 people per hour. The mean service rate is 5 units per hour for each chair. Find the following: What is the probability that no one is in the system? (look in the table) What is the average number of people in the system? What is the average time a person waits for service? What is the average time a person is in the system?
7. In a waiting line situation, arrivals occur at a rate of 2 per minute, and...
7. In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. a. What is λ? b. What is μ? c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability an arrival will have to...
Arrival Rate = 1/50 = 0.02 calls hour. Service Rate= 1 hour (travel time) + 1.5...
Arrival Rate = 1/50 = 0.02 calls hour. Service Rate= 1 hour (travel time) + 1.5 hour (repair time) =2.5 hours With m = 1/ 2.5 = 0.4 hours per customers ** PLEASE SHOW HOW TO DO EQUATION ** OEI is satisfied that one service technician can handle the 10 existing customers. Use a waiting line model to determine the following information: (a) probability that no customers are in the system, (b) average number of customers in the waiting line,...
In a waiting line situation, arrivals occur at a rate of 2 per minute, and the...
In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. Assume the Poisson and exponential distributions. a. What is ?? b. What is µ? c. Find probability of no units in the system. d. Find average number of units in the system. e. Find average time in the waiting line. f. Find average time in the system. g. Find probability that there is one person waiting. h. Find probability...
A customer service center has customers call with questions about the use of a product. The...
A customer service center has customers call with questions about the use of a product. The mean arrival rate of customer calls is 20 per hour and follows a Poisson distribution. The mean service rate (how long it takes the call center employee to answer the customer’s question) is 30 customers per hour (most customer questions can be answered rather quickly) and follows an Exponential distribution. What is the mean (average) time in hours that a customer spends in the...
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the...
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 3.2 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder to complete all...
Question 2 A fast-food franchise is considering operating a drive-up window food-service operation. Assume that customer...
Question 2 A fast-food franchise is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poisson probability distribution, with an arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered: A single-channel operation...
Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs....
Problem 15-27 (Algorithmic) Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be described by a Poisson probability distribution with an arrival rate of one job per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 5.5 hours and a standard deviation of 2 hours. Answer the following questions, assuming that Gubser uses one welder...
In a car pressure wash the average arrival rate is 12 cars per hour and are...
In a car pressure wash the average arrival rate is 12 cars per hour and are serviced at an average rate of 15 cars per hour, with service times exponential. It is requested: a) Probability that the system is empty. b) Average number of clients in the washing system. c) Average number of clients in the row. d) Average time a customer waits in line. e) Probability of having a row of more than 2 clients. f) Probability of waiting...
Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate...
Speedy Oil provides a single-channel automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. A mechanic needs 15 minutes to serve one car. Assume Poisson arrivals and exponential service time (show steps) A) What is the average number of cars in the system (auto shop) B) What is the probability that an arrival has to wait for service C) What is the average time that a car waits for the oil and lubrication...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT