d. What is the expected number of customers in the queue(Lg)? (Round your answer to 3 decimal places.)Expected number of customerse. What is the expected waiting time In the queue(Na)? (Express the waiting time in hours, round your answer to 3 decimal places.)Expected waiting time In an M/MA queueing system, the arrival rate is 7 customers per hour and the service rate is 12 customers per hour.0. What is the utilization? (Round your answer to 3 decimal places.)Utilizationb. What is the expected number of customers in the system (L)? (Round your answer to 3 decimal places.)Expected number of customersc. What is the expected waiting time in the system (W? (Express the waiting time in hours, round your answer to 3 decimal places.)Expected waitng time

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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

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In a queueing system, customers arrive once every 3 hours (standard deviation = 4) and services take 2 hours (standard devlation = 6.2). (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average time a customer will spend in the system (in hours)? hours
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) λ Wa { é L = P q = || W = W = h h (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) W (in minutes) = What action do you recommend? (Select all that apply.) Increase the hours of operation. Increase the mean service rate. Hire another consultant. Decrease the mean service rate. There is no need to change the current operating parameters. min, which is greater ✓than…
True or False? In a waiting line system, the average system time Wₛ must be longer than the average waiting time Wq
Josh’s Hot Dogs is a one-person hot dog stand, and normally gets about 14 customers per hour. Assuming that Josh can serve one customer in about 3 minutes. What impact does this have on the queuing characteristics? Specifically, the following questions:a. Mean number of customer in the queue b. Mean number of customer in the system: c. Mean waiting time in the queue:d. Mean waiting time in the system:e. Utilization factor for the system:f. Probability of more than 1 customer in the system at any given time.g. Do you think he has an acceptable queuing system?
In an M/MA queueing system, the arrival rate is 8 customers per hour and the service rate is 11 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.)
(Please do not give solution in image format thanku) A single Automated Teller Machine (ATM) is located on the ground floor of a popular shopping mall. Service time at this machine is exponentially distributed. On average, the ATM machine can serve a customer in 3 minutes. Customer arrivals at the machine are Poisson distributed, with an average of 15 customers an hour. Relevant formulas to analyze this M/M/1 model are available in your textbook. What percent of the time is this machine idle? 25% 0% 75% 50% 100%
The manager of Vintage Time Video Machine Parlor is responsible for ensuring that all six of his machines are in good condition. Machines frequently need attention but can normally be returned to service quickly. On an average, each machine requires attention five times each hour. The manager averages 4 minutes per repair.a. What percentage of each hour is the manager fixing machines?b. On an average, how many machines are broken down and waiting for repair?c. On an average, how many minutes in an hour are machines waiting for repair or being repaired?
38) Daisy's Shop Daisy runs a shop where she is able to serve an average of 9 customers per hour. An average of 5 customers per hour arrive at her shop. What is the average number of customers at the shop (either waiting in line or being served)? Group of answer choices a) 1.8 b) 2.67 c) 1.25 d) 0.56 e) 0.69 f) 3.00
Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.6 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) ?=?=Lq=L=Wq= hW= hPw= (b) Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? (Round your answer to one decimal place.) Wq (in minutes) = min, which is than the desired wait time, so the goal met. What action do you recommend? (Select all that apply.) Increase the mean service rate.Decrease the mean service rate.There is no need to change the current operating parameters.Hire another…
Benny's arcade has six video game machines. The average time between machine failures is 50 hours. Jimmy, the maintenance manager can repair a machine in 5 hours on average. The machines have an exponential failure distribution, and Jimmy has an exponential service-time distribution. a. Jimmy's utilization is? b. what is the average number of machines out of service, that is, waiting to be repaired or being repaired? c. what is the average time a machine is out of service?.
Please do not give solution in image format thanku A drive-in market has one checkout counter where one employee operates the cash register. The combination of the cash register and the operator is the server in this queuing system; the customers who line up at the counter to pay for their selections form the waiting line. Customers arrive at a rate of 24 per hour according to a Poisson distribution, and service times are exponentially distributed with a mean rate of 30 customers per hour. What are the operating characteristics for this waiting line system?
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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