What is the average queue length

Assignment Help Operation Management
Reference no: EM13959119

Queuing systems

Suppose customers arrive one at a time, completely at random, at an ATM at the rate of 6 per hour. Customers take an average of 8 minutes to complete their transactions. That is, the service rate is 7.5 per hour.

Historical data have shown that both the inter-arrival and service times closely follow some exponential distribution. Customers queue up on a first-come, first-served basis. Assume that there is only one ATM.

(a) What is the average waiting time in this M/M/1 queue? Please provide the formula, at least one step of calculation, and the correct answer.

(b) What is the average queue length? Please provide the formula, at least one step of calculation, and the correct answer.

(c) Based on the average waiting time and the average queue length, is it necessary for the bank to add another ATM machine? Why?

Reference no: EM13959119

Questions Cloud

One way of creating reserve capacity : Kanban cards must be used to order from outside vendors in JIT systems. One way of creating reserve capacity in a JIT system is to operate its equipment at 80% to 90% of maximum speed. In JIT systems, the trays, among other purposes, are utilized for..
Unmistakable scent of a very expensive woman : The next day, Elle visited an attorney to begin divorce proceedings. Aftersome small talk, the attorney, Mark Smithson, asked Elle about the major assets accu­mulated during the marriage.
Business strategy in action : The aim of this assignment is to give you a practical insight into the business strategy process at work in an organisation. The task requires you to work with a group of other students to conduct a case study of an organisation you are familiar with..
Geometric center of the town with predominantly : A town center is in the geometric center of the town with predominantly all grass and a few walkways through it. They are willing to spend $30,000 (split evenly with one payment now, and then at the end of the year and the year after that) to build t..
What is the average queue length : Suppose customers arrive one at a time, completely at random, at an ATM at the rate of 6 per hour. Customers take an average of 8 minutes to complete their transactions. That is, the service rate is 7.5 per hour. What is the average waiting time in t..
Write a small program that continually reads in user values : Write a small program that continually reads in user values and calculates the average of all values. The program should first ask the user for the amount of values to be entered. Upon storing this value, the program should proceed to read in that am..
What is the logistics of this retaining practice : Why do businesses such as Macy's hire seasonal and part time employees. what is the logistics of this retaining practice, explain what goes behind such a practice and why does this beneifit the company?
Determining effectiveness of advertising at different times : Explain why different metrics may be more useful to marketers in determining the effectiveness of their advertising at different times. Give examples of which metrics may be useful as consumers go through the purchase decision process.
Revitalization of airasia marketing strategy : Write a dissertation on the given topic of Revitalization of AirAsia Marketing Strategy

Reviews

Write a Review

 

Operation Management Questions & Answers

  How ebq change if set up costs reduced

How would the EBQ change if the set-up costs were reduced by 50 percent, and the holding costs were reassessed by 40 percent.

  How does storage contribute to the time value of goods

How does storage contribute to the time value of goods? Explain.

  Describe relationship between company values and strategy

What is the relationship between the company's values and strategy? Provide real world examples. Additional research is necessary by using scholarly publications.

  Sentences to avoid dangling and misplaced modifiers

Revise the following sentences to avoid dangling and misplaced modifiers.

  Cruise company provisioning a certain consumable items

A cruise company provisioning a certain consumable items its next trip. In the first stage, the cruise company procures from the home port region right before the start of the trip. At the end of the first leg, which takes t1 days, the cruise liner a..

  Balance sheet just before entering liquidation

The Keaton, Lewis, and Meador partnership had the following balance sheet just before entering liquidation: Keaton, Lewis, and Meador share profits and losses in a ratio of 2:4:4. The partnership feels confident it will be able to eventually sell the..

  Determine the best order size for its best-selling satellite

Ray’s Satellite Emporium wishes to determine the best order size for its best-selling satellite dish (model TS111).Each unit costs $160. Ray has estimated the annual demand for this model at 1000 units. What is the holding cost (in dollars) per unit ..

  Find the firm break-even point in sales dollars

Your supervisor in the controller's office has just handed you a memorandum asking for written responses to find the firm's break-even point in sales dollars?

  Describe your personal conflict styles

1.Describe your personal conflict styles. Focus on your dominant and weakest styles (include a copy of your circumplex

  What types of customer information might smart cards

Besides shipping information and credit card information, what types of customer information might smart cards store in their chip that would be usedul to e-business?

  Role to coordinate emergency operations planning

The emergency manager is in a challenging position. It is their role to coordinate emergency operations planning and they must also negotiate and foster effective relationships with federal, state, local, and private-sector partners in order to promo..

  Which of the given is a main factor which distinguishes

a which of the following is a major factor that distinguishes service design and development from manufacturing design

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