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)?

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)?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 27P

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Proctoring Enabled: Chapter 11 Queuing Models Ex. Saved Help Save & Exit Submit 1 In an M/MA queueing system, the arrival rate is 3 customers per hour and the service rate is 5 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 your answers to 3 decimal places.) a. What is the utilization? Utilization b. What is the expected number of customers in the system (L)? Number of customers c. What is the expected waiting time (in hours) for the system (W? Waiting time(in hours) Mc Graw Hill Prev 1 of 5 Next > ASUS
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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Please 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.
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