Question

An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering...

  1. An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering adding a third agent. Arrivals are spaced at an average of 4 minutes, Poisson distribution. An agent spends about 5 minutes per customer, exponentially distributed. All other appropriate assumptions hold. Make sure you solve for the correct performance measure using the correct equations. Solving for an incorrect performance measure will result in zero points. Solving for more than one performance measure and not indicating which measure is the one to answer the question will also result in zero points. Solving for the correct performance measure but with an incorrect answer will have partial credit applied only if detailed mathematical work is shown.
  1. (15 points) What is the average number in line waiting for service?
  1. (10 points) What is the average wait time in line waiting for service?
  1. (15 points) If a third agent is added, what is the average number in line waiting for service?

d. (10 points) If a third agent is added, what is the average wait time in line waiting for service?

  1. An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering adding a third agent. Arrivals are spaced at an average of 4 minutes, Poisson distribution. An agent spends about 5 minutes per customer, exponentially distributed. All other appropriate assumptions hold. Make sure you solve for the correct performance measure using the correct equations. Solving for an incorrect performance measure will result in zero points. Solving for more than one performance measure and not indicating which measure is the one to answer the question will also result in zero points. Solving for the correct performance measure but with an incorrect answer will have partial credit applied only if detailed mathematical work is shown.
  1. (15 points) What is the average number in line waiting for service?
  1. (10 points) What is the average wait time in line waiting for service?
  1. (15 points) If a third agent is added, what is the average number in line waiting for service?

d. (10 points) If a third agent is added, what is the average wait time in line waiting for service?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
An airline ticket counter has one line feeding into 2 ticket agents. The airline is considering...
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 suburban ticket outlet at the rate of 4 per hour on Monday...

    Customers arrive at a suburban ticket outlet at the rate of 4 per hour on Monday mornings. This can be described by a Poisson distribution. Selling the tickets and providing general information takes an average of 12 minutes per customer, and varies exponentially. There is 1 ticket agent on duty on Mondays. Determine the System Utilization Question 12 options: .8 1.6 .4 .88 None of the Above Question 13 (1.5 points) Customers arrive at a suburban ticket outlet at the...

  • Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers...

    Multiple Server Waiting Line Model Regional Airlines Assumptions Poisson Arrivals Exponential Service Times Number of Servers Arrival Rate Service Rate For Each Server Operating Characteristics 4 Probability that no customer are in the system, Po 5 Average number of customer in the waiting line, L 6 Average number of customer in the system, L 7 Average time a customer spends in the waiting line, W 18 Average time a customer spends in the system, W 19 Probability an arriving customer...

  • 1. A waiting line problem has an average of 80 arrivals per eight hour day. Suppose...

    1. A waiting line problem has an average of 80 arrivals per eight hour day. Suppose there is a single server and the average service time is 8 minutes. The average service rate is a) 8 per minute. b) 8 minutes. c) 10 per day. d) 10 per hour. e) 24 per hour f) none of the above. 2. A waiting line problem has an average of 80 arrivals per hour. Suppose each server can serve one customer every 4...

  • SHOW ALL WORK! In a waiting line situation, arrivals occur at a rate of 2 per...

    SHOW ALL WORK! In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 24 seconds. Assume the Poisson and exponential distributions. a. What is λ?   What is μ? b. Find average number of units in the system. c. Find average time in the waiting line. d. Find probability that there is one person waiting. e. Find probability an arrival will have to wait.

  • 1. A new shopping mall is considering setting up a car wash manned by six employees....

    1. A new shopping mall is considering setting up a car wash manned by six employees. From past data, Regal Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Regal figures that cars can be cleaned at the rate of one every 5 minutes. One car at a time is cleaned in this example of a single-channel waiting line. It is assumed that arrivals are...

  • Problem 1 REGIONAL AIRLINES Regional Airlines is establishing a new telephone system for handling flight reservations....

    Problem 1 REGIONAL AIRLINES Regional Airlines is establishing a new telephone system for handling flight reservations. During the 10:00 A.M. to 11:00 A.M. time period, calls to the reservation agent occur ran- domly at an average of one call every 3.75 minutes. Historical service time data show that a reservation agent spends an average of 3 minutes with each customer. The waiting line model assumptions of Poisson arrivals and exponential service times appear reasonable for the telephone reservation system. Regional...

  • Alignment Number Styles Cells Operating Characteristics A F G H K Operating Characteristics The average time...

    Alignment Number Styles Cells Operating Characteristics A F G H K Operating Characteristics The average time a customer spends in the system (waiting time plus service time) is reduced from W One Server Two servers Three servers The average number of customers in the waiting line is reduced from L The average time a customer spends in the waiting line is reduced from Wq The probability that a customer has to wait for service is reduced from Pw Questions 14...

  • 4. When John enters the bank office, there are four customers waiting in line and one...

    4. When John enters the bank office, there are four customers waiting in line and one customer is being served. There is a single clerk and the service time is exponentially distributed with λ-10 customer per hour, independent of everything else. (a) (2 points) What is the average service time per customer? (b) (4 points) What is the distribution of John's waiting time? (c) (4 points) Calculate the expected value and variance of John's waiting time. (d) (10 points) It...

  • The school of business at abc university has a information desk manned by one student worker....

    The school of business at abc university has a information desk manned by one student worker. It takes him an average of 3 minutes to answer questions raised by guests who visit the school building. Guests arrive at the desk at the rate of 15 per hour. Suppose that arrivals are Poisson and the service times are exponentially distributed. A. What is the average waiting time in queue? B. Suppose the worker earns $7.25 per hour. The cost of waiting...

  • Consider a simple queuing system in which customers arrive randomly such that the time between successive...

    Consider a simple queuing system in which customers arrive randomly such that the time between successive arrivals is exponentially distributed with a rate parameter l = 2.8 per minute. The service time, that is the time it takes to serve each customer is also Exponentially distributed with a rate parameter m = 3 per minute. Create a Matlab simulation to model the above queuing system by randomly sampling time between arrivals and service times from the Exponential Distribution. If a...

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