Exercise 16 A store opens at 8am. Customers will arrive at Poisson rate λ = 10 per hour. (i) At what time do you expect the first customer to arrive? (ii) Given that thesecondcustomerarrivedafter8.10am, what is the expected arrival time of the first customer? (iii) After serving the third customer, the sales clerk takes a 10-minute break at 8.20am. Upon his/return, he finds that the fourth customer has arrived. What is the probability that the customer has been waiting for more than 3 minutes?
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- The store opens at 8 am. Customers will arrive at Poisson rate λ = 10 per hour. (i) At what time do you expect the first customer to arrive? (ii) Given that the second customer arrived after 8.10 am, what is the expected arrival time of the first customer? (iii) After serving the third customer, the sales clerk takes a 10-minute break at 8.20 am. Upon his/return, he finds that the fourth customer has arrived. What is the probability that the customer has been waiting for more than 3 minutes?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…
- 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 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…13. Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the weeknight evening, customers arrive at Movies Tonight at the average rate of 1.25 customers per minute. The checkout clerk can serve an average of two customers per minute. Assume Poisson arrivals and exponential service times.What is the probability that no customers are in the system?What is the average number of customers waiting services?What is the average time a customer waits for service to begin?Do the operating characteristics indicate that the one-clerk check out system provides an acceptable level of service?In queuing system 1.- What is the average Queue lenght ? What is the expected waiting time ? 2.-
- - 1 -Production & Operation ManagementHome Assignment 2Deadline : May 22nd(Mon) 2022, 23:591. (10-10) A cafeteria serving line has a coffee urn (like a system) from whichcustomers serve them selves. Arrivals at the urn follow a Poisson distribution at therate of 3 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 3 or more people are in the cafeteria?2. (10-9) The Heart Association plans to install a free blood pressure testing booth.Previous experience indicates that, on average, 10 persons per hour request a test.Assume arrivals are Poisson distributed from an infinite population. Blood pressuremeasurements can be made at a constant time of 5 minutes each.(a) What average number in line can be expected?(b) What…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.What does the term "queue discipline" mean?
- The following data has been collected on the number of customers seen to arriveto a museum in a succession of 5-minute intervals: 5, 1, 3, 7, 5, 5, 6, 7, 5, 7, 4, 8, 1,5, 2, 3, and 5. Estimate the squared coefficient of variation of the arrival process. Ifthis data was known to come from a Poisson process, what would be your estimateof l, the rate of customer arrivals?5. A small town with one hospital has two ambulances to supply ambulance service. Requests forambulances during non-holiday weekends average .45 per hour and tend to be Poisson-distributed.Travel and assistance time averages two hours per call and follows an exponential distribution.Find:a. System utilizationb. The average number of customers waitingc. The average time customers wait for an ambulanced. The probability that both ambulances will be busy when a call comes inCustomers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.d. Calculate the probability a customer will spend more than an hour at the bakery(time in queue plus service time).