HomeworkLib
Question

Customers arrive at a bank that has 1 teller and they wait in line on a first-come, first-sorved basis. Customers arrive acco
business   Operations-Management   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1
Service time 4.000
Interarrival time 4.138
Arrival per hr 14.500
Service per hr 15.000
Р 0.966666667
Number in queue .967/(1-.967)
Avg. time waiting in queue 14.5/(15*(15-14.5))
Avg. time waiting in queue 1.933 hrs
116.00 mins
0 0
Add a comment
Know the answer?
Add Answer to:
Customers arrive at a bank that has 1 teller and they wait in line on a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

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

  • 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...

  • 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 ? –...

  • 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...

  • 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...

  • At a hair salon served by only one hairdresser, customers arrive at the rate of about...

    At a hair salon served by only one hairdresser, customers arrive at the rate of about 8 per hour according to a Poisson distribution. It takes about 5 minutes for the hair dresser to complete each customer, following an exponential distribution. What is the average time (in hours)the customer has to wait in the salon?

  • QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 1...

    QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 16 customers per hour. Which of the following is most likely true, based on this information: a. The hair salon serves customers on a walk-in basis (rather than by appointment times) b. If 10 customers arrive in the first hour, it is likely that 22 customers will arrive in the next hour. c. If the salon can serve an average of 20 customers...

  • 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...

  • 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...

  • 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 94 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...

  • Queueing models with variance 3. National Bank currently employs a single teller to assist customers over...

    Queueing models with variance 3. National Bank currently employs a single teller to assist customers over their lunch breaks. The typical inter-arrival time for customers is 10 minutes with a standard deviation of 8 minutes. The teller can service people, on average, every 8 minutes with a standard deviation of 7 minutes. Find the following: a. The utilization of the teller b. The average number of customers in line c. The average time a customer waits before it seeing the...

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