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Example 1 Follow National Bank FNB operates a drive-up teller window that allows customers to complete...
Problem 15-1 Willow Brook National Bank operates a drive-up teller window that allows customers to complete...
Problem 15-1 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 24 customers per hour or 0.4 customers per minute. What is the mean or expected number of customers that will arrive in a five-minute period? λ = per five minute period Assume that the Poisson probability distribution can be used...
7. The Canara Bank drive-thru teller window can serve a customer at an average of 4...
7. The Canara Bank drive-thru teller window can serve a customer at an average of 4 minutes per customer. Service time has a negative exponential distribution. Customers arrive in their cars at a rate (Poisson distributed) of 12 per hour and form a single waiting line: a. Determine the average waiting time, the average queue length, and the probability that there is no customer in the system. b. If Canara Bank decides to open a second drive-thru teller window with...
1. Keuka Park Savings and Loan currently has one drive-in teller window. Cars arrive at a...
1. Keuka Park Savings and Loan currently has one drive-in teller window. Cars arrive at a mean rate of 10 per hour. The mean service rate is 12 cars per hour. a. What is the probability that the service facility will be idle? b. If you were to drive up to the facility, how many cars would you expect to see waiting and being serviced? c. What is the average time waiting for service? d. What is the probability an...
A bank has one drive-up teller. The teller can serve at the rate of 11.2 bank...
A bank has one drive-up teller. The teller can serve at the rate of 11.2 bank customer in an hour. Customers arrive at the drive-up window on an average every 7.5 minutes. The bank is currently analyzing the possibility of adding a second drive-up window at an annual cost of $20,000. It is assumed that arriving cars would be equally divided between both windows. It is estimated that each minute’s reduction in customer waiting time would increase the bank’s revenue...
Please answer using stochastic operations principles Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distr...
Please answer using stochastic
operations principles
Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distributed with a mean of 4 minutes per car (ie, a rate of 1 car every 4 minutes). Answer the following questions: (a) What is the probability that the teller is idle? (b) What is the average number of cars waiting in line for the teller? (A car that is...
A fast food franchise is considering a drive-up window food-service operation. Assume that customer arrivals follow...
A fast food franchise is considering a drive-up window food-service operation. Assume that customer arrivals follow a Poisson probability distribution with a mean arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive up to the service window to pay for and receive their order. The following three service alternatives are being considered: a) A single-channel...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive a...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive ac cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level...
1) A fast-food franchise is considering opening a drive-up window food service operation. Assume that customer...
1) A fast-food franchise is considering opening a drive-up window food service operation. Assume that customer arrivals follow a Poisson distribution ( interarrival times follow an exponential distribution), with a mean arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive up to the service window to pay for and receive their order. The following four...
Burger World is considering opening a drive-through window for customer service. Management estimates that customers will...
Burger World is considering opening a drive-through window for customer service. Management estimates that customers will arrive at the rate of 15 per hour. The server who will staff the drive-up window can service customers at the rate of one every three minutes. Assuming Poisson arrivals and exponential service, find: 40. Utilization of the teller A) 45% B) 55% C) 65% D) None of the above 41. Average number of customers in the waiting line A) 2.25 B) 5.22 C)...
Question 2 A fast-food franchise is considering operating a drive-up window food-service operatio...
Question 2 A fast-food franchise is considering operating a drive-up window food-service operation. Assume that customer arrivals follow a Poisson probability distribution, with an arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive to the service window to pay for and receive their orders. The following three service alternatives are being considered: A single-channel operation...
7. The Canara Bank drive-thru teller window can serve a customer at an average of 4 minutes per customer. Service time has a negative exponential distribution. Customers arrive in their cars at a rate (Poisson distributed) of 12 per hour and form a single waiting line: a. Determine the average waiting time, the average queue length, and the probability that there is no customer in the system. b. If Canara Bank decides to open a second drive-thru teller window with...
Please answer using stochastic
operations principles
Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distributed with a mean of 4 minutes per car (ie, a rate of 1 car every 4 minutes). Answer the following questions: (a) What is the probability that the teller is idle? (b) What is the average number of cars waiting in line for the teller? (A car that is...
Problem 4. The Security & Trust Bank employs 4 tellers to serve its customers. Customers arrive ac cording to a Poisson process at a mean rate of 4 per minute. However, business is growing and management projects that the mean arrival rate will be 6 per minute a year from now. The transaction time between the teller and customer has an exponential distribution with a mean of 0.5 minute. Management has established the following guidelines for a satis- factory level...
1) A fast-food franchise is considering opening a drive-up window food service operation. Assume that customer arrivals follow a Poisson distribution ( interarrival times follow an exponential distribution), with a mean arrival rate of 24 cars per hour, and that service times follow an exponential probability distribution. Arriving customers place orders at an intercom station at the back of the parking lot and then drive up to the service window to pay for and receive their order. The following four...
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