One mechanic services 6 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 3 working days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of tworepair jobs per day. Repairs follow a negative exponential distribution.a) On the average, how many machines are waiting for service?The average number of machines waiting for service is(Round your response to three decimal places.)

Service rate is the measurement rate at which the customer service is measured in the supply…

Answered: a) On the average, how many machines…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

See similar textbooks

Similar questions

Explain how waiting lines can develop even when the service time is a constant.
Please do not give solution in image formate thanku. A new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Required: (g) Assume that the information desk employee earns $10 per hour. The cost of waiting time, in terms of customer unhappiness with the mall, is $12 per hour of time spent waiting in line. Find the total expected costs over an 8-hour day.
The Y-ME central railroad station has 5 screening stations. At peak times, 175 customers arrive per hour. The average time to screen a passenger is 1.6 minutes. a. What is the rate per hour at which customers are screened? b. What is the average waiting time until beginning screening? They are concerned about the area where people line up and wait to begin screening. c. What is the average number of passengers waiting to begin screening? They want to reduce the average number of passengers in queue to fewer than 5. d. If they were able to reduce service time to 1.5 minutes, could they achieve the goal of fewer than 5 passengers waiting? Carry out to the necessary calculations to answer this question.
5. The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. d.) Because the state has received less than expected tax receipts, the DMV is thinking of cutting one position. Is this a good idea? Why?
Pasquist Water Company (PWC) operates a 24-hour facil-ity designed to efficiently fill water-hauling tanker trucks.Trucks arrive randomly to the facility and wait in line to ac-cess a wellhead pump. Since trucks vary in size and the filling operation is manually performed by the truck driver, the timeto fill a truck is also random.a. If the manager of PWC uses the multiple-server modelto calculate the operating characteristics of the facility’swaiting line, list three assumptions she must make regard-ing the behavior of waiting trucks and the truck arrivalprocess.b. Suppose an average of 336 trucks arrive each day, thereare four wellhead pumps, and each pump can serve anaverage of four trucks per hour.▪ What is the probability that exactly 10 trucks will arrivebetween 1:00 p.m. and 2:00 p.m. on any given day?▪ How likely is it that once a truck is in position at a well-head, the filling time will be less than 15 minutes?c. Contrast and comment on the performance differencesbetween:▪…
True or False? In a waiting line system, the average system time Wₛ must be longer than the average waiting time Wq
Josh’s Hot Dogs is a one-person hot dog stand, and normally gets about 14 customers per hour. Assuming that Josh can serve one customer in about 3 minutes. What impact does this have on the queuing characteristics? Specifically, the following questions:a. Mean number of customer in the queue b. Mean number of customer in the system: c. Mean waiting time in the queue:d. Mean waiting time in the system:e. Utilization factor for the system:f. Probability of more than 1 customer in the system at any given time.g. Do you think he has an acceptable queuing system?
. At a car washing service facility customers arrive at the rate of 8 cars per hour. The service can manage an average of 12 cars per hour. The arrivals follow a Poisson distribution and the service follows a Exponential distribution. Calculate a) Utilization of the system b) Average number of customers in the system c) Average time customers spend in the system
1
1. The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. a.) What is the service rate? (please include units) b.) What is the arrival rate? (please include units)
Last National Bank is concerned about the level of service at its single drive-in window. A study of customer arrivals during the window’s busy period revealed that, on average, 20 customers per hour arrive, with a Poisson distribution, and they are given FCFS service, requiring an average of 2 minutes, with service times having a negative exponential distribution. a. What is the expected number of customers waiting in queue? b. If Last National were using an automated teller machine with a constant service time of 2 minutes, what would be the expected number of drive-in customers in the system? c. There is space in the drive for three cars (including the one being served). What is the probability of traffic on the street being blocked by cars waiting to turn into the bank driveway? d. Last National is considering adding tellers at the current drive-in facility. It has decided on $5 per hour as the imputed cost of customer waiting time in the system. The hourly cost of a teller is $10.…
Customers in a small retail store arrive at the single cashier on average every 6 minutes. The average service time for the cashier is 5 minutes.Arrivals tend to follow a Poisson distribution, and service times follow anexponential distribution. We need to analyze this waiting-line system. (g) Should the retail store consider creating a second cashier lane?(h) A cash machine manufacturer has offered an advanced system that willreduce service time to 2 minutes per customer. The cost of the newmachine would be the same as opening a second cashier lane, so theowner has decided to buy the new system only if it reduces wait timesover the two-cash option. Evaluate the two options (advanced cash or atwo-cash system) and suggest which option you would choose.

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Business in Action

Operations Management

ISBN:

9780135198100

Author:

BOVEE

Publisher:

PEARSON CO

Purchasing and Supply Chain Management

Operations Management

ISBN:

9781285869681

Author:

Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:

Cengage Learning

Production and Operations Analysis, Seventh Editi…

Operations Management

ISBN:

9781478623069

Author:

Steven Nahmias, Tava Lennon Olsen

Publisher:

Waveland Press, Inc.

SEE MORE TEXTBOOKS

a) On the average, how many machines are waiting for service? The average number of machines waiting for service is (Round your response to three decimal places.)