Homework Answers
Answer 1 :-
Data Insusfficient for 1st Answer
Answer 2 :-
4 Minute Per Customer
Answer 3:-
6.4 Minute (1 customer waiting time is 1.3 Minute)
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Subject: Broadband Networks.
4. A bank has 4 tellers with different service rates, i.e., teller 1...
Rapid Bank always has three tellers on duty. Customers arrive to receive service from a teller...
Rapid Bank always has three tellers on duty. Customers arrive to receive service from a teller at a mean rate of 45 per hour. A teller requires an average of 3 minutes to serve a customer. When both tellers are busy, an arriving customer joins a single line to wait for service. Experience has shown that customers wait in line an average of 1.5 minutes before service begins.Determine the basic measures of performance – ??, ?, ??, and ? –...
Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank...
Customers arrive at bank according to a Poisson process with rate 20 customers per hour. The bank lobby has enough space for 10 customers. When the lobby is full, an arriving customers goes to another branch and is lost. The bank manager assigns one teller to customer service as long as the number of customers in the lobby is 3 or less. She assigns two tellers if the number is more than 3 but less than 8. Otherwise she assigns...
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...
Problem 4. The Security& Trust Bank employs 4 tellers to serve its customers. Customers arrive ac-...
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 of...
Customers arrive at a bank that has 1 teller and they wait in line on a...
Customers arrive at a bank that has 1 teller and they wait in line on a first-come, first-sorved basis. Customers arrive according to a Poisson process with a rate of 14.5 per hour. It takes on average 4 minutes for a customer to be served by the tellor. No customer leaves without going through service with the teller. The standard deviation of the service time is 2 minutes. What is the average time a customer spends waiting in line? (Enter...
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions...
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 30 customers per hour or 0.5 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6...
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...
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured...
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below) Morning (8:30 11:30): 40/hour Lunch (1:30-1:30): 60/hour Afternoon (1:30 4:00): 3 35/hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 2 minutes, 52 seconds Because of competition with other banks in the area, management has determined that they want to keep the average customer wait before service to be...
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...
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...
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...
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 of...
Customers arrive at a bank that has 1 teller and they wait in line on a first-come, first-sorved basis. Customers arrive according to a Poisson process with a rate of 14.5 per hour. It takes on average 4 minutes for a customer to be served by the tellor. No customer leaves without going through service with the teller. The standard deviation of the service time is 2 minutes. What is the average time a customer spends waiting in line? (Enter...
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...
Consider a bank branch that has three distinct customer arrival patterns throughout the day, as measured by average arrival rates (below) Morning (8:30 11:30): 40/hour Lunch (1:30-1:30): 60/hour Afternoon (1:30 4:00): 3 35/hour. Regardless of the time of day, the average time it takes for a teller to serve customers is 2 minutes, 52 seconds Because of competition with other banks in the area, management has determined that they want to keep the average customer wait before service to be...
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