7 Altug's Coffee Shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of people standing in line inside. Mehmet Altug charges $3.50 per cup. However, It takes too long for people to makechange. The service time is a constant 1.50 minutes, and the arival rate is 30 per hour (Poisson distributed).a) The average walt time in the line = minutes (round your response to two decimal places).b) The average number of customers waiting in the line =customers (round your respanse to three decimal places).cl Mehmel raises the price to $5 per cUp and takes 3D seconds off the servicce time. However, because the coffee is now so expensive, the arrival rate drops to 24 per hour.The average wait time in the line = minutes (round your response to two decimal places).The average number of customers waiting in the line customers (round your response to threa decimal olsces).

Given data; Cost 3.5 $/cup λ Arrival rate 30 per hr Service rate 1.5…

Answered: Altug's Coffee Shop decides to install…

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 26P

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Ling is the customer service manager at Sakuro, a new departmental store stocking Japanese products. Customer service is integral to the Japanese way of doing business and Ling is responsible for ensuring that the five basic needs of customers are met through their service offering. If Ling decides to create a toll-free number to assist customers, which one of the following needs would Ling be meeting? Select one: Oa. Service O b. Quality C. Action d. Appreciation
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.
Which of the following is a main characteristic of operation when applied to a queuing system? Population None of the options are correct Service rate ✓ Average time spent waiting in the system
In short, define three cases in which the first-in, first-out (FIFO) concept in queuing analytics is not valid.
Please 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 Feedback
Given the following Operating Characteristics from a queuing model with time units specified in hours, answer the five questions: Po = 0.4000 Lq = 0.9000 L = 1.5000 Wq = 0.2000 W = 0.3000 Pw = 0.6000 What is the average time, in minutes, a customer waits in line before being served? What is the average time, in minutes, a customer spends waiting and being served? What is the average number of customers in the system? What is the probability that there are no customers in the system? If the system serves a customer every 4 minutes, what is the service rate?
λ = 3 Customers per hour μ = 5 Customers per hour M = 1 (a) What is the system utilization? (b) What is the average number of customers waiting for service? (c) What is the average time customers wait in line for service?
The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.) What is the average customer time in the system? What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds? Would system waiting time be less than you found in (b) if a second window was opened with each server doing all three tasks?
Briefly describe three situations in which the first-in, first-out (FIFO) discipline rule is not applicable in queuing analysis.
1. A single cashier handles customers that arrive at a bakery. About 34.8 customers come into the bakery per hour. It takes 73 seconds to serve each customer (standard time). 2. What is the utilization of the cashier?What is the probability there are no customers in line or at the cashier? 3. What is the probability there are less than 2 customers waiting? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
10. Customers arrive an average of 8 per hour and an average of 12 customers can be served in an hour. Assume this is an M/M/1 model. (Noteshaper Quick Start #18 - #20) what is the system utilization? what is the average length of the line? what is the average number of customers in the system? what is the average amount of time spent waiting in the line? what is the average amount of time a customer spends in the system? what is the probability of no customers in the system? 11. Customers arrive at a ferry ticket office at the rate of 18 per hour on Monday mornings. This can be described as a M/M/1 model. Selling the tickets and providing general information takes an average of 2 minutes per customer. One ticket agent is on duty on Mondays. (Noteshaper Scenario #34) a. What is the average length of the line on Monday mornings? b. On average, how long does a customer wait to buy a ticket on Monday mornings (in minutes)? c. How long does it take to successfully buy a ticket on Monday…
The Bijou Theater shows vintage movies. Customers arrive at the theater line at a rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps on customers’ parking lot receipts and punching their frequent watcher cards. (Because of these added services, many customers don’t get in until after the feature has started.)a. What is the average customer time in the system?b. What would be the effect on customer time in the system of having a second ticket taker doing nothing but validations and card punching, thereby cutting the average service time to 20 seconds?c. Would system waiting time be less than you found in (b) if a second window was opened with each server doing all three tasks?

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