The number of students in the cafeteria Number of students actively in the queue being served Waiting time in the cafeteria
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QUESTION 4
Assume that the UCC cafeteria has a single cashier. During peak hours, students arrive at a rate of 20 per hour. The average number of students that can be serviced by the cashier is 24 per hour. Calculate the following:
- The number of students in the cafeteria
- Number of students actively in the queue being served
- Waiting time in the cafeteria
- Waiting time for students in the queue
- What is the probability that there will be more than six students in the cafeteria or in the queue?
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- Question 6 Answer Question 8-10 based on the given information. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 18 customers per hour or 0.3 customers per minute. What is the mean or expected number of customers that will arrive in a ten-minute period? Question 7 Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 1, 2, and 3 customers will arrive during a ten-minute period. Note: The probabilities that exactly 0 customers will arrive during a ten-minute period is calculated for you as 0.0498. (Round your answers to four decimal places.) 1 Question 8 P(x) 0.0498 Delays are expected if more than three customers arrive during any ten-minute period. What is the probability…Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 21 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…Problem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 45 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…
- True or False? In a waiting line system, the average system time Wₛ must be longer than the average waiting time WqProblem 15-25 (Algorithmic) Burger Dome sells hamburgers, cheeseburgers, French fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Suppose that Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 51 customers per hour and 1 customer processed per minute. Compare a multiple-server waiting line system with a shared queue to a multiple-server waiting line system with a dedicated queue for each server. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an arriving customer must decide which server's queue to join. Assume that this system equally splits the customer arrivals so that each server sees half of the customers. How does this system…State the seven common measures of queuing system performance in waiting line models?
- Customer arrive at one-window drive in bank according to Poisson distribution with mean 10 per hour. Service time per customer is exponential with mean 5 minutes. There are three spaces in front of the window, including the car being served. Other arriving cars can wait outside these three spaces. A. What is the probability that an arriving customer can enter one of these three spaces? B. What is the probability that an arriving customer is expected to wait outside the three spaces. C.How long is an arriving customer expected to wait before starting service.Problem 2: Waiting to take-off a) At an airport, 125 planes took off during an 8-hour period. The control tower keeps a list on its computer of planes that it has released from the gates and that are waiting in queue to take off. Based on this inſormation, the average number of planes waiting to lake-off was 5, with the average taken over the same 8-hour period. How long did the average plane wait to take off? b) Suppose the air-traffic controller tells you that the next day there are 150 planes scheduled to take off (a 20% increase) during the same 8 hours of the day. He then predicts that there will be 6 planes waiting on average. How many would you predict were waiting on average: Circle one: about 6 planes less than 6 planes more than 6 planes? Assume that overall conditions (weather, number of runways open) are the same during the two days. Explain your reasoning. c) The airport authorities are worried about noise and pollution caused by the large queue of planes sitting waiting…n the ticket counter , customer arrivers in the queue according to Poisson process with 15 / hour mean rate . The total time taken to serve a customer has an exponential distribution with 150 seconds of mean . What is the average waiting time of a customer ( both in Queue and System ) ? Queue - 125Sec, System - 225Se Queue 250 Sec , System 325 Sec Queue 250 Sec , System 400 Sec Queue 225 Sec , System 125 Sec
- Refer to the following information and output. Number of Servers Arrival Rate Service Rate P(0), probability that there are no customers in the system Lq, average length of the queue W, average time in the system L, average number of customers in the system Wq, average time in the queue Utilization factor of the system What is the average number of customers in the queue? O 2.33 O .23 O .70 O 1.63 1.0 7.00 10.00 30% 1.63 0.33 2.33 0.23 70%Explain Structure of Waiting-Line Problems?Describe disadvantages of using waiting line models?