copying machine in the student lounge of the business school. Students arrive at the rate of 250 per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or p=72 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used 69 percent (round your response to the nearest whole number). b) The average length of the queue- 1.58 students (round your response to two decimal places). c) The average number of students in the system 2.27 students (round your response to two decimal places). d) The average time spent waiting in the queue= 1.9 minutes (round your response to two decimal places). e) The average time in the system minutes (round your response to two decimal places). W
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- 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).There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=50 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 = 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). d) The average time spent waiting in the queue = minutes (round your response to two decimal places). e) The average time in the system = minutes (round your response to two decimal places)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 40 seconds, or μ=90 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 4444 percent (round your response to the nearest whole number). The average length of the queue = 35.35 students (round your response to two decimal places).The average number of students in the system = 0.80 students (round your response to two decimal places).The average time spent waiting in the queue = 0.53minutes (round your response to two decimal places). The average time in the system = minutes (round your response to two decimal places).
- 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 45 seconds, or μ=80 per hour (according to a negative exponential distribution). a) The percentage of time the machine is used = 0.5percent (round your response to the nearest whole number). b) The average length of the queue = 0.50students (round your response to two decimal places). c) The average number of students in the system = 1 students (round your response to two decimal places). d) The average time spent waiting in the queue = ??? enter your response hereminutes (round your response to two decimal places).1.) What is not considered a measure of system performance in a queuing analysis? average number waiting in line service time system utilization average number in the system 2.) Which of the following is true of a customer who reneges? after joining the queue, becomes impatient and leaves tries to get through as quickly as possible by moving from queue to queue never returns after going through the queue refuses to join the queue because it is too longConsider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below). Morning (8:30 - 11:30): arrival 1 = 47 per hour. %3D Lunch (11:30 - 1:30): arrival 2 = 70 per hour. Afternoon (1:30 - 4:00): arrival 3 = 30 per hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 3.17 minutes. Because of competition with other banks in the area, management has developed an internal goal to keep the average customer wait before service to be less than 4 minutes. With that in mind, answer the following: a. During the morning period, what is the minimum number of tellers that the bank needs to hire to achieve the 4-minute service goal mentioned above? [ Select] b. During lunch, what is the minimum number of tellers that the bank needs to hire to achieve the 4 minute service goal mentioned above? [ Select ] c. In the afternoon, what is the minimum number of tellers that the bank
- A local fast food restaurant wants to analyze its drive-thru window. At this time, the only information known is the average number of customers in the system (4.00) and the average time a customer spends at the restaurant (1.176 minutes). What is the arrival rate (λ) and the service rate (μ)? Group of answer choices Arrival rate = 4.25 customers/min. Service rate = 3.4 customers/min. Arrival rate = .29 customers/min. Service rate = .24 customers/min. Arrival rate = 3.4 customers/min. Service rate = 4.25 customers/min. Arrival rate = .24 customers/min. Service rate = .29 customers/min. None of the above answers are correctA server operates with 90 % utilization. Coefficient of variation of service process is 0.6. Coefficient of variation of arrival process is 0.8. Average processing time is 4 minutes. What is the average time a customer spends in the system using the single server queuing model ? Show all formulas used, calculations and results.You observe an average of 10 customers in the System. On average, you also observe customers are in the system for 50 minutes before they leave. What is the arrival rate into the system in customers per hour?
- Customers send emails to a help desk that has three employees who answer theemails (and this is their only responsibility). Customer requests arrive accordingto a Poisson process with a rate of 30 per hour. It takes on average 4 minutes towrite a response email; the standard deviation of this service times is 2 minutes.b. What is the average time an email spends waiting before an employee startsworking on it? What is the average time to complete the emails requests (fromthe time the email is sent to when it is answered)?Passengers arrive at the immigration counter at a rate of one every 4 minutes, and processing their documents takes an average of 10 minutes each. There are 6 employees on duty. If a passenger isn't served immediately, how long on average would the passenger have to wait for service? a. 1.429 minutes b. 3.571 minutes c. 2.857 minutes d. 0.5 minutesAt 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? customers