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.) a. What is the average customer time in the system? Page 289 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?

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.) a. What is the average customer time in the system? Page 289 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?

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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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?
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?
You are the manager of a local bank where three tellers pro-vide services to customers. On average, each teller takes 3minutes to serve a customer. Customers arrive, on average,at a rate of 50 per hour. Having recently received complaintsfrom some customers that they waited a long time beforebeing served, your boss asks you to evaluate the service sys-tem. Specifically, you must provide answers to the followingquestions:a. What is the average utilization of the three-teller servicesystem?b. What is the probability that no customers are being servedby a teller or are waiting in line?c. What is the average number of customers waiting in line?d. On average, how long does a customer wait in line beforebeing served?e. On average, how many customers would be at a teller’sstation and in line?
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?
13. Suppose AirOM passengers arrive to the check-in desk every 100 seconds (on average). The desk is staffed by a single ticketing agent, who takes 1.4 minutes (on average) to process a passenger. The arrivals follow a Poisson process and the service time is distributed exponentially. What is a passenger’s average waiting time (in seconds)? Enter a single number as your answer. If your final number is not integer, keep two decimal places in your answer.
The BPD has three tellers to provide service. Each teller, on average, serves one customer in three minutes per customer, the latter arriving 50 every hour. Due to complaints received, an evaluation of the system has been requested:(a) Give the average utilization of the service system with the three tellers.b) What is the probability of arriving at the bank with no one there?c) What is the average number of customers waiting in line?d) On average how long does a customer wait in line to be served?e) On average how many customers would be served at a teller and waiting in line?
Please do not give solution in image formate thanku. λ= 4 customers per hour; μ = 5 customers per hour; M= 1 An average of 20 customers arrive at a service center each hour. There are two servers on duty, and each can process 12 customers per hour. a) What is the system utilization? b) What is the average waiting time for customers who actually have to wait? 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.) (Use the Excel spreadsheet Queue Models.) 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? Note: Round your answer to 3 decimal places. What would be the customer time in the system if instead of the change in part (b), a second window was opened with each server doing all three tasks? Note: Do not round intermediate calculations. Round your answer to 3 decimal places. Would system waiting time which is obtained…
Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 2.0 hours per call. Requests for copier repairs come in at a mean rate of 3 per eight-hour day (assume Poisson). what is the average number of customers awaiting repais? what is system utilzation? What is the amount of time in a 8 hour day that the repairman is not out on a call? What is the probability of two customers in the system?
Angkut Deras Hauling Company has two long-trip cars rental servicesinclusive with a driver at Kota Kinabalu International Airport. The companyhas determine during the late-evening hours on weekend, customersrequest driver for cars rental at a rate that follows the Poisson distributionwith a mean of 0.8 per hour. Travel and assistance time is exponential witha mean of 1 request per hour. Find each of the performance measures ofthis waiting line system. a) What is the system utilization rate for Angkut Deras Hauling Company?b) Probability that both drivers will be busy when a customer request.c) The average number of customer waiting in line.d) The average time customers wait for a driver.e) What is the customers average waiting time on arrival?
As an interested student, you have volunteered to study the operation of the Sunbucks during a typical weekday. You arrive at 8 am just as Sunbucks is opening, and you diligently record information over the next hour. According to the manager, Sunbucks should be able to serve an average of 1 customer every 2 minutes and during the period you were collecting data 25 customers arrived to make a purchase. Based on your data, What was the average waiting time for a customer in line during this period? a) 25 .16 b)3.67 c) 1.0 d)4.167
40) Burger Cart April has a popular burger cart where an average of 12 customers per hour arrive to buy a burger. April can serve an average of 20 customers per hour. What is the average time a person spends waiting in line? Group of answer choices a) 16.0 minutes b) 2.25 minutes c) 3.0 minutes d) 12.0 minutes e) 7.0 minutes f) 4.5 minutes g) 9.0 minutes h) 1.2 minutes