A road transport company has one reservation clerk on duty at a time. He handies information of bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can, on an average, serve a customer within 5 minutes. The company estimates that the arrival rate will be Poisson distributed whilst the service time is exponentially distributed. Use the information above to answer question 70 through to 75 70. What is the average number of customers waiting in line to be served? А. 1 В. 1.04 . С. 1.33 D. 2.666 71. What is the average number of customers in the system? А. 2 В. 3 С. 4 D. 5 72. What is the average time a customer has to wait before being served? A. 4 minutes B. 5 minutes C. 8 minutes D. 10 minutes 73. What is the average time a customer spends in the system? A. 0.2 hr В. 0.25 hr C. 12 hrs D. 15 hrs Page 11 of 16 Peu lell mdem'?/2-19/20 Scanned with CamScanner 74. What is the probability of not finding a customer in the system? A. 0 В. 0.33 С. 0.67 D. 0.88

A road transport company has one reservation clerk on duty at a time. He handies information of bus schedules and makes reservations. Customers arrive at a rate of 8 per hour and the clerk can, on an average, serve a customer within 5 minutes. The company estimates that the arrival rate will be Poisson distributed whilst the service time is exponentially distributed. Use the information above to answer question 70 through to 75 70. What is the average number of customers waiting in line to be served? А. 1 В. 1.04 . С. 1.33 D. 2.666 71. What is the average number of customers in the system? А. 2 В. 3 С. 4 D. 5 72. What is the average time a customer has to wait before being served? A. 4 minutes B. 5 minutes C. 8 minutes D. 10 minutes 73. What is the average time a customer spends in the system? A. 0.2 hr В. 0.25 hr C. 12 hrs D. 15 hrs Page 11 of 16 Peu lell mdem'?/2-19/20 Scanned with CamScanner 74. What is the probability of not finding a customer in the system? A. 0 В. 0.33 С. 0.67 D. 0.88

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...

See similar textbooks

Similar questions

Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is five trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?
At the British Grand Prix’s Silverstone Circuit’s 3 July 2022 race, it was another battle royal of sorts as the Formula 1 drivers battled for maximum points in the series. The fans seeking to purchase tickets started arriving from 10:00 am running all through 1:30 pm, when the gates closed in readiness for the race. The fans were observed to arrive at an average of 2,048 each hour, and were being served at a rate of 533 every fourteen minutes. Some fans had already purchased their tickets earlier via the ticket sales agency e-commerce portal. The Silverstone gallery has a 150,000 seating capacity. The gallery was 95% full for this grace. Given the enthusiasm of the fans that were trickling in, this was going to be the race of the month. required; iv). On average, how long does a fan spend in the circuit ticketing system? v). What is the probability of having more than 5 but less than 12 fans in the circuit ticketing system? Determine the efficiency of the Silverstone circuit…
Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is three trucks per hour, and the mean service rate is six trucks per hour. Use the Single Server QueueExcel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places. What is the probability that the truck dock will be idle? What is the average number of trucks in the queue? truck(s) What is the average number of trucks in the system? truck(s) What is the average time a truck spends in the queue waiting for service? hour(s) What is the average time a truck spends in the system? hour(s) What is the probability that an arriving truck will have to wait? What is the probability that more than two trucks are waiting for service?
In improving services to consumers, Limited Company Prima conducted a study of the queue time spent by consumers during the payment process with one available payment service.The average arrival of consumers in 1 hour is 8 consumers, while every hour the number of customers who can be served is 10 consumers. Count: a. The average length of time the customer is in the storeb. Average number of consumers who are being servedc. If the waiter fee is 500 and the subscription fee is waiting for 100, calculate the hourly amount
Consider a Poisson queue with random arrivals at the rate of 12 customers per hour and the following steady- state probabilities: po = 1/3, p1 = 1/2, p2 = 1/6, and p, = 0 for n = 3,4,5, ... . What is the mean (or effective) arrival rate in customers per hour for this queuing system? Consider drawing a rate diagram to assist in your solution. O 10 12 O none of the other choices O 2
The Peachtree Airport in Atlanta serves light aircraft. It has a single runway and one air traffic controller to land planes. It takes an airplane 12 minutes to land and clear the runway (following an exponential distribution). Planes arrive at the airport at the rate of one every 15 minutes. The arrival rate follows a Poisson distribution. A plane is considered to have entered the “system” once it has notified the airport that it is in the vicinity and wants to land. For purposes of this analysis, you can ignore the planes taking off. a) Determine the average number of planes that are in the system waiting to land. b) Find the average time a plane is in the system either waiting to land or landing. c) What is the probability that a plane approaching the airport will find at least two other that are already in the “system” that is waiting to land? d) Suppose that the cost assigned to a plane while it is waiting to land (in the stack) is $1,000…
A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. How long does the average person spend waiting for a clerk? 1.143 minutes 3.429 minutes 1.929 minutes 0.643 minute