Question

A mechanic services 4 drilling machines for a steel plate manufacturer. Machines break down on an...

A mechanic services 4 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 5 working days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of two repair job per day. Repairs times follow an exponential distribution. What is the average waiting time in the system? What is the average waiting time in the queue? On average, how many machines are waiting to be repaired? On average, how many machines are in working order? On average, how many machines are being repaired?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

please rate if it is helpfull...

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A manufacturer has seven identical machines for the production. A typical machine breaks down once every...
A manufacturer has seven identical machines for the production. A typical machine breaks down once every 46 days and there are two repair workers, each of whom takes an average of 4 days to repair a machine. Breakdowns of machines follow a Poisson distribution and the repair time follows an exponential distribution. ( a ) What is the average number of machines waiting for repairs? ( b ) What is the average number of machines being served by a repair...
A mechanic at the Highway Department Garage repairs vehicles that break down at an average   of ?...
A mechanic at the Highway Department Garage repairs vehicles that break down at an average   of ? = 3 vehicles per hour. The mechanic can service a vehicle on an average of 15 minutes.  (20 Points) a. What is the utilization rate for this service system? b. What is the average time before the facility can return a breakdown to service? c. How much of that time is spent waiting for service? d. How many vehicles are likely to be waiting for...
Soltan Security is a security company that retains a service crew to repair its vehicles. The...
Soltan Security is a security company that retains a service crew to repair its vehicles. The vehicle breakdowns occur at a rate of 3 per day, and follow a Poisson process. The crew can service an average of 8 vehicles per day, with a repair time distribution that resembles the exponential distribution. a) What is the utilization rate of the service system? b) What is the average downtime for a vehicle that is broken down? c)How many vehicles are waiting...
"Pacifico" is a US manufacturer of drilling machines. They have been focused for years in improving...
"Pacifico" is a US manufacturer of drilling machines. They have been focused for years in improving their manufacturing process, to improve quality management and reduce defects. Now that they have achieved their goal, they are starting to focus on the operations side. They have realized that they usually stock out of the "Super Duper", a very sturdy drilling machine that can handle heavy-duty work. After doing some analysis of past demand data, they came to the conclusion that the monthly...
The administrator at the City Hospital’s emergency room faces a problem of providing treatment for patients...
The administrator at the City Hospital’s emergency room faces a problem of providing treatment for patients that arrive at different rates during the day. There are four doctors available to treat patients when needed. If not needed, they can be assigned to other responsibilities (for example, lab tests, reports, x-ray diagnoses, etc.) or else rescheduled to work at other hours. It is important to provide quick and responsive treatment, and the administrator feels that, on the average, patients should not...
The administrator at the City Hospital’s emergency room faces a problem of providing treatment for patients...
The administrator at the City Hospital’s emergency room faces a problem of providing treatment for patients that arrive at different rates during the day. There are four doctors available to treat patients when needed. If not needed, they can be assigned to other responsibilities (for example, lab tests, reports, x-ray diagnoses, etc.) or else rescheduled to work at other hours. It is important to provide quick and responsive treatment, and the administrator feels that, on the average, patients should not...
Founded in 1962 by Bernard Sliwin, Athletic Knit (AK), a manufacturer of sports team uniforms, specialized...
Founded in 1962 by Bernard Sliwin, Athletic Knit (AK), a manufacturer of sports team uniforms, specialized in hockey jerseys, with 80 per cent of its revenue coming from the sales of hockey-related products. AK sold both stock and customized products in Canada and the United States. The company’s mission was to provide high quality sportswear and high quality service to its customers. Daniel Sliwin, the founder’s grandson, became AK’s vice president in 2009. He and his brother David improved the...
The Nataraj Metal Products Company (hereinafter referred to as the Nataraj), has it manufacturing plant at...
The Nataraj Metal Products Company (hereinafter referred to as the Nataraj), has it manufacturing plant at Arani and employs about 500 workers. It produces a variety of metal products such as brass knobs, steel frames, collapsible iron gates, chromium handles and so on. Orders for these are placed by building contractors in and around Madras but the volume of orders fluctuates, with the rainy season being the slowest period. The company is reputed for quality products delivered on time and...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From...
Sign In INNOVATION Deep Change: How Operational Innovation Can Transform Your Company by Michael Hammer From the April 2004 Issue Save Share 8.95 In 1991, Progressive Insurance, an automobile insurer based in Mayfield Village, Ohio, had approximately $1.3 billion in sales. By 2002, that figure had grown to $9.5 billion. What fashionable strategies did Progressive employ to achieve sevenfold growth in just over a decade? Was it positioned in a high-growth industry? Hardly. Auto insurance is a mature, 100-year-old industry...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT