Question

Queueing models with variance

3. National Bank currently employs a single teller to assist customers over their lunch breaks. The typical inter-arrival tim

0 0
Add a comment Improve this question Transcribed image text
Answer #1

17 L Cliven, No. of server (n)=1 Arrival rate (a) = 60/10= 6 chr Ca = 8/60 = 2/15 Service rate (M)= 60/8=7.5c/hr os= 7160 usi

Add a comment
Know the answer?
Add Answer to:
Queueing models with variance 3. National Bank currently employs a single teller to assist customers over...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 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...

  • For the following problems compute (a) utilization, (b) average time a customer waits in the queue,...

    For the following problems compute (a) utilization, (b) average time a customer waits in the queue, (c) average number of customers waiting in the queue, (d) average number of customers in service, (e) the average time a customer spends in the system. Problem 1. An average of 10 cars per hour (with variance 4) arrives at a single-server drive-in teller. Assume that the average service time for each customer is 5.5 minutes (with variance 5). Problem 2. Customers arrive to...

  • 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...

  • A random sample of 64 customers at a drive-through bank window is observed, and it is...

    A random sample of 64 customers at a drive-through bank window is observed, and it is found that the teller spends an average of 2.8 minutes with each customer, with a standard deviation of 1.2 minutes. Find a 93% confidence interval for the true mean time that this teller takes with her customers.

  • 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...

  • 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 drive-through Restaurant with a single check-out counter opens six days a week, but...

    A Fast Food drive-through Restaurant with a single check-out counter opens six days a week, but its heaviest day of business is on Saturdays. Customers arrive at an average rate of 20 per hour on Saturdays. Customers can be provided service at the rate of one every two minutes. Assuming Poisson arrivals and exponential service times, find: The average number of customers in line The average time a car waits before being served The average time a customer spends in...

  • customers arrive at an average of 30 per hour. A single server in the store serves...

    customers arrive at an average of 30 per hour. A single server in the store serves customers, taking 1.5 minutes on average to serve each customer. Inter-arrival times and service times follow the exponential distribution. What is the expected fraction of time that the server will be busy? On average, how many people will there be in the store? On average, how long will someone be in the store? What is the probability that there will be more than 2...

  • Assume that a single-server queueing system has a Poisson interarrival process with a rate of 10 customers per hour.

     Problem 3: Assume that a single-server queueing system has a Poisson interarrival process with a rate of 10 customers per hour. Also, assume that the service time is exponential with at a rate of 12 customers per hour. Answer the following questions to 3 significant digits: a) What is the expected utilization of the server? b) What is the log-run time average of number of customers in the system? c) Using Little's law, use the answer from part (b) to calculate the average waiting...

  • Many of a bank’s customers use its automatic teller machine to transact business after normal banking...

    Many of a bank’s customers use its automatic teller machine to transact business after normal banking hours. During the early evening hours in the summer months, customers arrive at a certain location at the rate of one every other minute. This can be modeled using a Poisson distribution. Each customer spends an average of 83 seconds completing his or her transactions. Transaction time is exponentially distributed. a. Determine the average time customers spend at the machine, including waiting in line...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT