Average number of customers in the system

Assignment Help Operation Management

Reference no: EM131152521

Melanie is the manager of the Clean Machine car wash and has gathered the following information. Customers arrive at a rate of 8 per hour according to a Poisson distribution. The car washer can service an average of 10 cars per hour with service times described by an exponential distribution. Melanie is concerned with the number of customers waiting in line. She has asked you to calculate the following system characteristics: (a) Average system utilization. (b) Average number of customers in the system. (c) Average number of customers waiting in line. Melanie realizes that how long the customer must wait is also very important. She is also concerned about customers balking when the waiting line is too long. Using the arrival and service rates in previous set of problems, she wants you to calculate the following system characteristics: (a) The average time a customer spends in the system. (b) The average time a customer spends waiting in line. (c) The probability of having more than 3 customers in the system. (d) The probability of having more than 4 customers in the system.

Reference no: EM131152521

Questions Cloud

Describe the positives and negatives : Summarize (in your own words) the history and outcome of your chosen court case. What are the issues surrounding affirmative action in this case? Is a part of the law being challenged?

Profit or loss on the futures contract : What will be the profit or loss on the futures contract if interest rates go to 9.50 percent by December when the contract is closed out? (Input the amount as a positive value.)

What is the rate of return for each option : Your state is considering purchasing a new snow plow of the options shown below. The state uses an MARR of 10%. List your answers for rates of return to 2 decimal places (XX.X%) Option Cost Annual Benefit Salvage Life Snow King $80,000 $14,600 $2,000..

Determine the maximum bending stress in the strap : An L2 steel strap having a thickness of 0.125 in. and a width of 2 in. is bent into a circular arc of radius 600 in. Determine the maximum bending stress in the strap.

Average number of customers in the system : Melanie is the manager of the Clean Machine car wash and has gathered the following information. Customers arrive at a rate of 8 per hour according to a Poisson distribution. Melanie is concerned with the number of customers waiting in line. Average ..

Explain impact on our national economy of michigan : The demise of the U.S. auto industry would have a devastating impact on our national economy and specifically the economies of Michigan and Ohio.

How clear was the intent of the discussion : How clear was the intent of the discussion? How prepared were your group members for the discussion? Did everyone participate equally in the discussion? Were group members open to different points of view

Describe the purpose of the test : For each of the following tests he performed, describe the purpose of the test to include all the auditobjective(s) involved.

Think the underlying social policy is for this type of law : Many states have passed laws known as dram shop acts under which a business or an individual can be held liable for injuries caused by persons who become intoxicated from alcohol served by the business or individual. What do you think the underlying ..

User Account

All Pages