ng Enabled: Chapter 11 Queuing Models Exercises iSavedHelpSave & ExitSubmitAn MI MI3 system has an arrival rate of 12 customers per hour. Each server has a service rate of 14 customers per hour.a. What is the utilization factor for this system? (Round your answer to 3 decimal places.)Utilization factorb. If all servers are kept busy, how many services will be completed per hour? (Round your answer to the nearest whole number.)Services completed per hour< Prev4 of 5 ENextAcrawHillHUAWEI

ANSWER A : Given: Arrival rate ( λ ) = 12 customer / hour Service rate ( µ ) = 14 customer / hour U…

Answered: An MI MI3 system has an arrival rate of…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Single server system has customer arrival rate of 60 customers per minute and a service rate of 75 customers per minute. Customer arrival pattern is finite and they won't leave till they are served. The Arrival and Service patterns, both are exponential distribution. Based on the above information calculate a. Server utilization% b. Average numbers of customers in line C. Average time per customer in Line d. Average numbers of customers in system e. Average time per customer in System
In the central railway station, 15 computerised reservation counters are available. A customer can book his/her ticket in any train on any day in any of these computerised reservation counters. The average time spent on each customer by each clerk is five minutes. Average arrivals per hour during three types of activity periods have been calculated and customers have been surveyed to determine how long they are willing to wait during each type of period. Customer's acceptable waiting time (minutes) Туре of period Arrivals per hour Peak 110+XX 10+X Normal 60+XX 5+X Low 30+XX 2+X Making suitable assumptions on this queuing process, determine how many counters should be kept open during each type of period. XX = last two digits of your roll no. and X = last digit
Decision makers may use the findings of queuing analysis to make decisions?
Customers arrive at the rate of 15 per hour and the average processing time isthree minutes. What is the server’s utilization?
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Speedy Lube has only one bay in which to change oil. The estimated arrival rate is 3 customers per hour. The time required for an oil change is 12.5 minutes; but the times do vary. Based on this data, what will be average number of customers waiting for an oil change? Please round your answer to two decimal places.
d. What is the expected number of customers in the queue (Lg)? Number of customers(queue) e. What is the expected waiting time (in hours) in the queue (Wg)? Waiting time(queue)
What is the answer in this number 3?
With a 10% availability buffer, a contact centre has been handling 900 consumers per day. Customers have shown dissatisfaction with the amount of time it takes for their call to be replied. How much additional space is needed if the call centre manager wishes to double the capacity cushion?
4.) The DMV Licensing office has a single line for customers waiting for the next available clerk. There are two clerks who work at the same rate. On average customers arrive every 8 minutes and the average service rate is 5 per hour for each of the two clerks. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. a.) What percentage of the total available service time is being used? b.) Due to Covid restrictions, only two customers are allowed in the office at the same time. What percent of the time will there be customers waiting outside?
The 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?

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An MI MI3 system has an arrival rate of 12 customers per hour. Each server has a service rate of 14 customers per hour. a. What is the utilization factor for this system? (Round your answer to 3 decimal places.) Utilization factor