2. Arrivals and departures to Star Optometrist are collected and reported below: Arrival Departure 7:45 8:45 8:00 9:00 10:30 11:45 12:00 Patient 1 2 3 4 5 10:00 10:15 10:35 A. What is the average flow time of its patients in minutes? B. Assume Star Optometrist is open from 7:45 a.m. to noon. What is the flow rate of patients in Star Optometrist per hour? C. Assume Star Optometrist is open from 7:45 a.m. to noon. How many patients on average
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- A priority waiting system assigns arriving customers to one of four classes. Arrival rates (Poisson) of the classes are shown in the following table. Five servers process the customers, and eachcan handle three customers per hour.a. What is the system utilization?b. What is the average wait for service by customers in the various classes? How many are waiting in each class, on average?c. If the arrival rate of the second priority class could be reduced to three units per hour by shifting some arrivals into the third priority class, how would your answers to part b change?d. What observations can you make based on your answers to part c?5. Eat well is a small drive through fast food restaurant, staffed by an efficient employee John, is located in a super mall area. Customers arrive at the counter at an average of one every 15 minutes, and the customer arrival follows a Poisson distribution. John takes at most 10 minutes to process each food order. a) What is average number of customer being served at any time? b) The expected number of customers waiting to be served. c) Compute the average time customer wait in the system. d) What percentage of time is John Idle?In an M/M/1 queueing system, the arrival rate is 3 customers per hour and the service rate is 5 customers per hour. a. What is the utilization? (round your answer to 3 decimal places) b. What is the expected number of customers in the system (L)? (round your answer to 3 decimal places) c. What is the expected waiting time in the system (W)? (express the waiting time in hours, round your answer to 3 decimal places) d. What is the expected number of customers in the queue (Lq)? (round your answer to 3 decimal places) e. What is the expected waiting time in the queue (Wq)? (express the waiting time in hours, round your answer to 3 decimal places)
- Patients arrive at your emergency room at a rate of 2 per hour. The average service time per patient is 20 minutes. In other words, you treat an average of 3 patients per hour if patients come in that fast. 1. To proceed with your analysis, what do you assume about the distributions of arrivals and service times? 2. What is the average number of patients in the ER (waiting or being served?) (Use formulae on p.21-22) 3. What is the average length of time that patients spend from the time they enter the ER to the time they leave?Describe whether the arrival rates are constant and service rates are random at a doctor office and identify circumstances when the service rates are constant ? It's an operations subject questionThe Waterfall Buffet in the lower level of the National ArtGallery serves food cafeteria-style daily to visitors andemployees. The buffet is self-service. From 7:00 A.M. to9:00 A.M. customers arrive at the buffet at a rate of eight perminute; from 9:00 A.M. to noon, at four per minute; fromnoon to 2:00, at 14 per minute; and from 2:00 P.M. to closing at 5:00 P.M., at eight per minute (Poisson distributed).All the customers take about the same amount of time toserve themselves and proceed to the buffet. Once a customer goes through the buffet, it takes an average of0.4 minute (exponentially distributed) to pay the cashier.The gallery does not want a customer to have to wait longerthan four minutes to pay. How many cashiers should beworking at each of the four times during the day?
- During the early morning hours, customers arrive at a branch post office at an average rate of 45 per hour (Poisson), while clerks can handle transactions in an average time (exponential) of 4 minutes each. Find: (a) The average number of customers waiting for service if 5 clerks are used. (b) The minimum number of clerks needed to keep the average waiting time in the system to under 5 minutes. (c) If clerk cost is $40 per hour and customer waiting time represents a “cost” of $30 per hour, how many clerks can be justified on a cost basis? Please show work.What is queuing model in the service operations? Explain different configurations of the service system?Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to nine. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.06 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.5 machines per hour. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 1 Lq = fill in the blank 2 L = fill in the blank 3 Wq = fill in the blank 4 hours W = fill in the blank 5 hours Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 6 Lq = fill in the blank 7 L = fill in the blank 8 Wq = fill…
- Kolkmeyer Manufacturing Company is considering adding two machines to its manufacturing operation. This addition will bring the number of machines to nine. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The arrival rate is 0.06 machines per hour for each machine, and the service rate for each individual assigned to the repair operation is 0.5 machines per hour. Compute the operating characteristics if the company retains the single-employee repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 1 Lq = fill in the blank 2 L = fill in the blank 3 Wq = fill in the blank 4 hours W = fill in the blank 5 hours Compute the operating characteristics if a second employee is added to the machine repair operation. If required, round your answers to four decimal places. P0 = fill in the blank 6 Lq = fill in the blank 7 L = fill in the blank 8 Wq = fill…Neve Commercial Bank is the only bank in the town of York, Pennsylvania. On a typical Friday, an average of 10 customers per hour arrive at the bank to transact business. There is currently one teller at the bank, and the average time required to transact business if 4 minutes. It is assumed that service times may be described by the negative exponential distribution. If a single teller is used, find: 1. The average time in line 2. The average number in the line 3. The average time in the system 4. The average number in the system 5. The probability that the bank is empty 6. CEO Benjamin Neve is considering a second teller (who would work at the same rate as the first) to reduce waiting time for customers. A single line would be used, and the customer at the front of the line would go to the first available bank teller. He assumes that this will cut the waiting line in half. If the second teller is added, find the new answers to #1 through 6.(10 Points) Eat well is a small drive through fast food restaurant, staffed by anefficient employee John, is located in a super mall area. Customers arrive at thecounter at an average of one every 15 minutes, and the customer arrival followsa Poisson distribution. John takes at most 10 minutes to process each foodorder.a) What is average number of customer being served at any time?b) The expected number of customers waiting to be served.c) Compute the average time customer wait in the system.d) Compute the average time customer wait in the line.e) What percentage of time is John Idle?