Operations Management
2nd Edition
ISBN: 9781260484687
Author: CACHON, Gerard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 5, Problem 14PA
Summary Introduction
To determine: The number of patients that can be served by the hospital per day.
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A copier is able to operate for an average of 200 hours between repairs, and the mean repair time is two hours. Determine the availability of the copier.
Toolco operates a machine shop with 22 machines. On the
average, a machine breaks down every 2 hours. It takes an
average of 12 minutes to complete a repair. When a machine
breaks down, one of four repairpersons is called upon to do the
repair. Both the time between breakdowns and the repair time are
exponential. Toolco is interested in analyzing this situation and
knowing the number of repairpersons needed to keep the shop
running "smoothly."
A = 12 = 0.5 breaks down per hour
μ = 60/12 = 5 breaks down per hour
System limit = K = 22 machines
Source limit= K = 22 machines
R = 1, 2, 3, 4.
(M/M/R: GD/ K /K),
At a book store, one customer arrives every 4 minutes. The bookstore has one cashier, and it takes 3 minutes to serve one customer with a standard deviation of 4.9. The arrival process has a standard deviation of 7.
What is the average number of customers in the queue
Chapter 5 Solutions
Operations Management
Ch. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQ
Ch. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 16CQCh. 5 - Prob. 1PACh. 5 - Prob. 2PACh. 5 - Prob. 3PACh. 5 - Prob. 4PACh. 5 - Prob. 5PACh. 5 - Prob. 6PACh. 5 - Prob. 7PACh. 5 - Prob. 8PACh. 5 - Prob. 9PACh. 5 - The help desk at Triple Stacked handles calls from...Ch. 5 - Prob. 11PACh. 5 - A pharmaceutical company creates a compound with a...Ch. 5 - Prob. 13PACh. 5 - Prob. 14PACh. 5 - Prob. 15PACh. 5 - Prob. 16PA
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- Patients enter an intensive care unit at the rate of 7 patients per day. On average, a patient spends 3.1 days in the intensive care unit. On average, how many patients are in the intensive care unit? Note: Round your answer to 2 decimal places.arrow_forwardDo: 12-21 Truck drivers working for Juhn and Sons (see Problems 12-19 and 12-20) are paid a salary of $20 per hour on average. Fruit loaders receive about $12 per hour. Truck drivers waiting in the queue or at the loading gate are drawing a salary but are productively idle and unable to generate revenue during that time. What would be the hourly cost savings to the firm associated with employing two loaders instead of one? Not this: 12-19 Juhn and Sons Wholesale Fruit Distributors employs one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day, or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times. Not this: 2-20 Juhn believes that adding a second fruit loader will substantially improve the firm’s efficiency. He estimates that a two-person crew, still acting like a single-server system, at the loading…arrow_forwardTrucks using a single-server loading dock have a mean arrival rate of 14 per day. The loading/unloading rate is 19 per day. What is the probability that the truck dock will be idle? What is the average number of trucks waiting for service? What is the average time a truck waits for the loading or unloading service? What is the probability that a new arrival will have to wait? What is the probability that more than three trucks are waiting for service?arrow_forward
- Failsafe Textiles employs three highly skilled maintenance workers who are responsible for repairing the numerous industrial robots used in its manufacturing process. A worker can fix one robot every 8 hours on average, with an exponential distribution. An average of one robot fails every 3 hours, according to a Poisson distribution. Each down robot costs the company $100.00 per hour in lost production. A new maintenance worker costs the company $80.00 per hour in salary, benefits, and equipment. Should the manager hire any new personnel? If so, how many people? What would yourecommend to the manager, based on your analysis?arrow_forwardAt a book store, one customer arrives every 6 minutes. The book store has one cashier, and it takes 4 minutes to serve one customer with a standard deviation of 5.9. The arrival process has a standard deviation of 8. (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average number of customers in the queue? customersarrow_forwardA restaurant considers changing the number of waiters during dinner hours. There are currently seven waiters. It takes 70 minutes to serve a table on average. A new party (table) comes to the restaurant every 12.28 minutes. The restaurant considers decreasing the number of waiters by 1, down to 6. How much would the probability of walking into a completely busy restaurant increase when the number of waiters is 6 compared to 7? I need typed answer don't write in a paperarrow_forward
- A queuing model which follows the M/M/1 assumptions has λ = 2 and μ = 3. The average waiting time in the system isarrow_forwardWould you expect the Poisson distribution to be a good approximation of a) Runners crossing the finish line in the Boston Marathon? b) Arrival times of the students in your OSCM class?arrow_forwardA typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions. Round calculations to at least 3 decimal places.Note: Round each calculation to at least 3 decimal places. a) What is the average number of passengers waiting in line to be screened? b) What is the average amount of time (in minutes) passengers spend waiting in line? c) What is the average amount of time (in minutes) passengers spend in the screening system? d) What is percent of the time does the typical TSA agent spend actively screening passengers? e) Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45…arrow_forward
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