What is the average service rate of each machine

Assignment Help Operation Management

Reference no: EM133400111

Question A marina operates with two machines that put boats into the water. Boat owners arrive according to a Poisson process. After the boat owners arrive, they form a single common line, and the service is provided on a first-come-first-served basis. Each machine operates as follows. Boat owners reverse their trailers into the machine, which operates like a large sling and lowers the boat into the water. The time to serve a customer at a machine follows an exponential distribution. Historical data show that, on average. it takes 18 minutes from the arrival of a boat owner till the time his /her boat is put into water.

The average waiting time in line is 8 minutes. On average, there are 2.4 boats in the entire system, including those waiting in line and those being served by the machines.

a) What is the average service rate of each machine? Give your answer in number of boats per hour.

b] What is the average rate of customer arrival to the marina? Give youranswer in number of customers per hour.

c] What is the probability that a customer can be served immediately upon his/her arrival, without waiting?

Reference no: EM133400111

Questions Cloud

What is the average outgoing quality level : What is the average outgoing quality level - If more than one defective account is found, the whole lot will be subjected to 100 percent inspection

What is the health care budget picture : What is the health care budget picture? What are the largest budgetary issues affecting your state? How have these issues affected state programs?

Hiring of additional staff members : To poll each staff member to understand their thoughts on what skill sets and abilities are needed from the new hires

What factors should be taken into consideration : Who should make the determination whether the case should be tried in adult court? What factors should be taken into consideration in transferring a juvenile

What is the average service rate of each machine : What is the average service rate of each machine? Give your answer in number of boats per hour and What is the average rate of customer arrival to the marina

Who are so vulnerable to the disease : What are your thoughts on a re-immunization schedule for older adults as a way to prevent transmission to younger kids who are so vulnerable to the disease?

How some states are legalizing marijuana but not all states : how some states are legalizing marijuana but not all states are, so your position on this could be that all states need to legalize marijuana and states can

Discuss two major concessions that the united kingdom : Discuss two major concessions that the United Kingdom later made with Ireland to bring about a more lasting peace. Be specific! B) Should the United States

Critically explore the exercise of leadership power : Critically explore the exercise of leadership power and influence. Critically explore the main feature and requirements of leadership development

User Account

All Pages