2. A repair and inspection facility consists of two stations: a repair station with two technicians, andan inspector station with 1 inspector. Each repair technician works at the rate of 3 items per hour; theinspector can inspect 8 items per hour. Approximately 10% of all items fail inspection and are sent backto the repair station. (This percentage holds even for items that have been repaired two or more times.) Ifitems arrive at the rate of 5 per hour, what is the long-run expected delay that items experience at each ofthe two stations, assuming a Poisson arrival process and exponentially distributed service times? What isthe maximum arrival rate that the system can handle without adding personnel?

Service rate of technicians()= 3 items per hourService rate of technician()= 8 items per hourFailure…

Answered: 2. A repair and inspection facility…

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

Ashley’s department store in Kansas City maintains a successful catalog sales department in which four clerk takes orders by telephone. If four clerks are occupied on four-lines, incoming phone calls to the catalog department are answered automatically by a recording machine and asked to wait. As soon as the clerk is free, the party that has waited for the longest is transferred and answered first. Calls come in an average of 3 minutes. The clerk is capable of taking an order in an average of 10 minutes. Calls tend to follow a Poisson distribution, and service times tend to be exponential. a. λ= μ= b. Calculate P0 c. How many callers, on average, are waiting to place an order under the current operating system?
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?
Picture
Navern Corporation manufactures and sells custom home elevators. From the time an order is placed until the time the elevator is installed in the customer's home averages 141 days. The 141 days are spent as follows: Wait time Inspection time Process time Move time Queue time What is Navern's manufacturing cycle efficiency (MCE) for its elevators? Multiple Choice O O 41.1% 30.4% 58.9% 29 days 24 days 34 days 31 days 23 days 57.4%
Vehicles on a highway arrive at a security checkpoint at a Poisson rate of 20 per hour. At the checkpoint, vehicles are inspected by a single security guard. The security guard can inspect vehicles at an exponential rate of 50 per hour. a. Find the probability that an incoming vehicle must wait in a security line. b. What is the average number of vehicles at the checkpoint? c. What is the average amount of time spent at the checkpoint?
The program coordinator is out of town at a conference and you, as the assistant program coordinator, find yourself besieged by dozens of students needing permission to get into a very popular (but closed) class. Student arrivals are governed by the Poisson distribution with a mean of 5 minutes. Telling the students that they can't get into the closed class takes about 3 minutes, and this average is exponentially distributed. About how long does it take a student to wait in line and receive your valuable service?
Please do not give solution in image format thanku A takeaway café has an average rate of customer arrival of 6 per hour. The café uses two service counters and both counters take 6 minutes to serve each customer. Assuming Poisson arrivals and exponential service, what is the average number of customers waiting in a queue? a. 1.000 b. 0.059 c. 0.600 d. 0.333 e. None of the other answers is correct Feedback
The mode is used infrequently in business applications because?
There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=40 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or μ=72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = percent (round your response to the nearest whole number). b) The average length of the queue = enter your response here students (round your response to two decimal places). c) The average number of students in the system = students (round your response to two decimal places).
Customer interarrival times at a store are exponentially distributed with rate 8 customers per hour. Customers are served by a single customer service representative (CSR), at a rate of 10 customers per hour. Service times are also exponentially distributed. Which of the following statements are true? O The probability of having exactly three customers in the store is 0.128. O None of the answers are correct. The store has customers waiting for a CSR 80.0% of the time. The average number of customers in the store is 3.2. O The average wait time for the CSR is 24 minutes.
In an M/M/1 queueing system, the arrival rate is 5 customers per hour and the service rate is 7 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round all answers to three decimals.) What is the utilization? What is the expected number of customers in the system (L)? What is the expected waiting time (in hours) for the system (W)? What is the expected number of customers in the queue (Lq)? What is the expected waiting time (in hours) in the queue (Wq)?
On average, a patient spends 5 minutes waiting and 15 minutes being treated at PSH Clinic. Given the average number of patients waiting and being treated at the clinic is 50, what is the average number of patients coming through the clinic per minute on a typical day?

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