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.a. What is the utilization of the employees?
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Customers send emails to a help desk that has three employees who answer the
emails (and this is their only responsibility). Customer requests arrive according
to a Poisson process with a rate of 30 per hour. It takes on average 4 minutes to
write a response email; the standard deviation of this service times is 2 minutes.
a. What is the utilization of the employees?
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- 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)?Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day (assume Poisson). Use Table 1. b. Determine system utilization. (Omit the "%" sign in your response.) System utilization %Please do not give solution in image format thanku Dan himself came to your store and wanted to know how long customers were waiting in line (this is very important to Dan!). Report the time customers wait in your queue if you have 2 cashiers open, 55 customers come into the store per hour and your cashiers take 1.9 minutes per customer to ring them up.
- A 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.Give 5 answers to each question. a. In a call that falls under the category of "customer care call," what should an agent always keep in mind or do? b. In a call that falls under the category of "collection call," what should an agent always keep in mind or do?Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 2.5 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson). a. Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.) Number of customers b. Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.) System utilization % c. Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Use your rounded answer from Part b. Round your answer to 2 decimal places.) Amount of time hours d. Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to…
- Which of the following is not a characteristic of a service? Tangible O Difficult to emulate Variable output PerishablePlease 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 FeedbackPlease do not give solution in image format thanku Customers send e-mails to a help desk of an online retailer every two minutes, on average, and the standard deviation of the interarrival time is four minutes. The online retailer has three employees answering e-mails. It takes on average five minutes to write a response e-mail. The standard deviation of the processing times is one minute. (a) How many e-mails would there be, on average, that have been submitted to the online retailer but not yet answered? (b) Estimate, on average, how long the customers will wait before being served. (c) Determine the minimum number of employees required to have at most 10 minutes of waiting. Do not use excel. Explain every step in your answers in detail.
- YourNurse (YN) Inc. uses certified nurses to answer medical queries from customersover the phone. When patients call into YN, they are first asked to provide their zipcode, which then allows YN to route their call to the call center nearest to the patient(it operates 10 across the country). Which single suggestion in the following list (andexplanation) is most likely to reduce the average time callers wait before speaking witha nurse?a. Run an advertising campaign to increase demand and to better utilize its nurses.b. Train its nurses so that they spend more time answering the patients’ questions.c. Instead of using callers’ zip codes, route calls to the call center with the fewest callersto help prevent situations in which there are idle nurses at the same time that there arecallers on hold.d. Play a recording of useful medical information while callers are on hold so as todecrease their perception of how long they are waiting.e. None of the above1.) 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 longPlease do not give solution in image format thanku A bank has an average of 10 customers per hour arriving into the system, and it takes an average of 30 minutes for the clerk to complete a transaction with a customer. What is the average length of the queue in the bank? And A store open 24 hours per day is interested in determining store traffic. It found that customers arrive uniformly at the rate of 10 customers per hour. The store has a single worker to process customers. The worker takes an average of 5 minutes to process a customer. If we assume that every customer must be processed, what is the average number of customers in the store?