Parts E & F pls e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 seconds, how many customerswould you expect to see at the coffee urn (waiting and/or pouring coffee)? (Do not round intermediate calculations. Round youranswer to 2 decimal places.)Average no of customersf. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 seconds, how long would youexpect it to take (in minutes) to get a cup of coffee, including waiting time? (Do not round intermediate calculations. Round youranswer to 2 decimal places.)Expected timeminute(s) A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at therate of 2.5 per minute. In serving themselves, customers take about 18 seconds, exponentially distributed.a. How many customers would you expect to see, on average, at the coffee urn? (Do not round intermediate calculations. Roundyour answer to 2 decimal places.)Average no of customers3.00b. How long would you expect it to take to get a cup of coffee? (Round your answer to 2 decimal places.)Expected time1.20 minute(s)c. What percentage of time is the urn being used? (Do not round intermediate calculations. Round your answer to 1 decimal place.)Percentage of time75.0 %d. What is the probability that three or more people are in the cafeteria? (Do not round intermediate calculations. Round your answerto 1 decimal place.)Probability0.4 %

Name: Parts E & F pls e. If the cafeteria installs an automatic vendor that
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Description: Parts E & F pls e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 seconds, how many customerswould you expect to see at the coffee urn (waiting and/or pouring coffee)? (Do not round intermediate

Customers arrive at 2.5 per minute, and they serve themselves in 18 seconds each.

Business

Operations Management

e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average no of customers f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average no of customers f. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 18 seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

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 9P

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A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of three per minute. In serving themselves, customers take about 15 seconds, exponentially distributed.a. How many customers would you expect to see, on average, at the coffee urn?b. How long would you expect it to take to get a cup of coffee?c. What percentage of time is the urn being used?d. What is the probability that three or more people are in the cafeteria?e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constanttime of 15 seconds, how does this change your answers to (a) and (b)?
A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poisson distribution at the rate of 4.0 per minute. In serving themselves, customers take about 11 seconds, exponentially distributed. a. How many customers would you expect to see on the average at the coffee urn? b. How long would you expect it to take to get a cup of coffee? c. What percentage of time is the urn being used? d. What is the probability that three or more people are in the cafeteria? e. If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 11 seconds, how many customers would you expect to see at the coffee urn (waiting and/or pouring coffee)? f.If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 11 seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time?
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Answer the given question with a proper explanation and step-by-step solution. Use the information. A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow a Poison distribution at the rate of 2.5 per minute. In serving themselves, customers take about 22 seconds, exponentially distributed.Use formulas to solve, no excel. Show all work. a. How many customers would you expect to see, on average, at the coffee urn? b.How long would you expect it to take to get a cup of coffee? c.What percentage of time is the urn being used? d. What is the probability that three or more people are in the cafeteria?
new shopping mall is considering setting up an information desk manned by one employee. Based upon information obtained from similar information desks, it is believed that people will arrive at the desk at a rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that the arrivals follow a Poisson distribution and answer times are exponentially distributed. Find the probability that the employee is idle. Find the proportion of the time that the employee is busy. Find the average number of people receiving and waiting to receive some information. Find the average number of people waiting in line to get some information. Find the average time a person seeking information spends in the system. Find the expected time a person spends just waiting in line to have a question answered (time in the queue).
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Tony’s Barbershop is run, owned, and operated by Anthony Jones, who has been cutting hairfor more than 20 years. Anthony does not take appointments, so the arrival pattern of customers is essentially random. Traditionally, the arrival rate had been about one customer every50 minutes. Two months ago, the local paper ran an article about Anthony that improved business substantially. Currently, the arrival rate is closer to one customer every 35 minutes. Haircutsrequire an average of 25 minutes, but the times vary considerably depending on customerneeds. A trim might require as little as 5 minutes, but a shampoo and styling could take as longas an hour or more. For this reason, the exponential distribution seems to provide a reasonablygood fit of the service time distribution.Anthony’s customers have always been patient, but ever since business picked up, somehave complained that the wait is too long. Anthony is considering taking his cousin Marvin intothe business to improve customer…
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