How many turnstiles should be opened in each direction

Assignment Help Operation Management
Reference no: EM131361068

Problem -

The typical subway station in Washington, DC, has six turnstiles, each of which can be controlled by the station manager to be used for either entrance or exit control-but never for both. The manager must decide at different times of the day how many turnstiles to use for entering passengers and how many to use for exiting passengers. At the George Washington University (GWU) Station, passengers enter the station at a rate of about 84 per minute between the hours of 7 a.m. and 9 a.m. Passengers exiting trains at the stop reach the exit turnstile area at a rate of about 48 per minute during the same morning rush hours. Each turnstile can allow an average of 30 passengers per minute to enter or exit. Arrival and service times have been thought to follow Poisson and negative exponential distributions, respectively. Assume riders form a common queue at both entry and exit turnstile areas and proceed to the first empty turnstile.

The GWU station manager, Gerald Aase, does not want the average passenger at his station to have to wait in a turnstile line for more than 6 seconds, nor does he want more than 8 people in any queue at any average time.

a) How many turnstiles should be opened in each direction every morning?

b) Discuss the assumptions underlying the solution of this problem using queuing theory.

Reference no: EM131361068

Questions Cloud

How many doctors should be on duty during each period : Ted Glickman, the administrator at D.C. General Hospital emergency room, faces the problem of providing treatment for patients who arrive at different rates during the day. How many doctors should be on duty during each period to maintain the level..
Company is offering you terms for payment on invoice : A company is offering you terms for payment on an invoice of $15,000 of "Discount 5% in 10 days Net 60 days." This means that you can either pay 95% of the amount due in 10 days or pay the entire amount in 60 days. What is the effective rate per year..
Considering a treatment plant with an initial investment : The City of Meyers is considering a treatment plant with an initial investment of $12 million and a life of 30 years. The city uses a rate of 4% per year compounded yearly. If the plant would be needed indefinitely, what is the total investment that ..
Company capital structure weights on market value basis : Dinklage Corp. has 8 million shares of common stock outstanding. The current share price is $87, and the book value per share is $6. The company also has two bond issues outstanding. What are the company's capital structure weights on a book value ba..
How many turnstiles should be opened in each direction : The typical subway station in Washington, DC, has six turnstiles, each of which can be controlled by the station manager to be used for either entrance or exit control-but never for both. How many turnstiles should be opened in each direction every..
List the various possible magnetic moments for this system : Consider a system of six distinguishable spin-1/2 particles each with magnetic moment µ. List the various possible magnetic moments for this system (in terms of µ) and give the entropy for each.
What was the learning curve rate at this point : Boeing spent $270 million to make the eleventh 787 in its production line. The first 787 cost $448 million. What was the learning curve rate at this point
According to the expectations hypothesis : Consider the following $1,000 par value zero-coupon bonds: Bond Years to Maturity YTM(%) A 1 6.1%. According to the expectations hypothesis, what is the expected 1-year interest rate 3 years from now?
What is dividend discount model-capital asset pricing model : What is dividend discount model, capital asset pricing model and capital budgeting and what are their uses in the real world? how are they utilized and how are they helpful for management decisions in corporations?

Reviews

Write a Review

 

Operation Management Questions & Answers

  Determine which is the single most important

When considering all the factors of providing bar service in a restaurant, determine which is the single most important. Explain your reasoning.

  Describe the recent trends in recruitment and selection

Conduct a research and describe the recent trends in recruitment and selection. What is your experience with recruitment and selection either as a candidates an/or as a recruiter. Share your experience with the methods used and the pros and cons of e..

  True of transformational leadership

Which of the following is true of transformational leadership?

  Discuss brainstorming and consensus building

Discuss brainstorming and consensus building as important aspects of total quality management in healthcare. Provide at least one specific example of how these tools could be utilized in the management of medical services

  Whistleblowing and sarbanes-oxley due

Use the Internet or Strayer Library to research instances of whistleblowing in publicly traded companies within the last 12 months.

  How you would deal with the supplier concerning

Prepare a proposal for how you would deal with the supplier concerning the quality issues if you were the person in charge of buying this product

  Name various methods for integrating interdependent

Name various methods for integrating interdependent work units, implement two of them and, name the pros and cons of these methods.

  Intangible assets are more important than tangible ones

Create a PowerPoint presentation of 10-15 slides (with speaker notes, title slide, and reference slide), that addresses the following questions: 1.How does Southwest Airlines make money when other airlines do not? 2. What are the factors contributing..

  Structure of the competitive priorities and infrastructure

Analyze both the structure of the competitive priorities and infrastructure of the production process. Develop three (3) new enablers that are aligned with the long-term plan of the selected organization. Evaluate three (3) pros and three (3) cons..

  Indicates that at least two of the projects must be done

it takes two hours to refill the container also return it to the bathtub. Illustrate what happens to the system over time.

  Employees level of job satisfaction or dissatisfaction

Motivation is a personality factor that determines an employee's level of job satisfaction or dissatisfaction. Motivation is the force acting on or within a person that cause that individual to behave in a specific, goal-directed manner. Goal setting..

  What role did carlos debrito play in the success

What role did Carlos Debrito play in the success of the Alberta team-based productivity project? What leadership approach did he employ to help reduce conflict between labor and professionals? Do you agree with Algoma Howard that if she just had..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd