Homework | Operations Management homework help


1. Consider a two-station production line with single machines. Jobs arrive to the first station at an average rate of 5 per hour with a squared coefficient of variation equal to 1.96. Effective processing times average 0.125 hours with a squared coefficient of variation equal to 0.81. 

a) What is the first station’s utilization?

b) What is the squared coefficient of variation of the arrivals to the second station?

c) If an identical second machine is added to the first station, do you expect the SCV of arrivals to the second station to increase or decrease? Why? (Start by thinking about how utilization will change.)

2. Suppose jobs arrive at a single-machine workstation at a rate of 20 per hour and the average process time is 2.5 minutes.

a) What is the utilization of the machine?

b) Suppose that the inter-arrival and process times are such that and

i) What is the average time a job spends at the station (i.e. waiting plus process time)?

ii) What is the average number of jobs at the station?

c) Now suppose instead that the SCV of process times is 4, with a mean process time of 2.5 minutes (unchanged).

i) What is the average time a job spends at the station?

ii) What is the average number of jobs at the station?

3. Consider a workstation with 11 machines, each requiring one hour of process time per job with an SCV of 5. Each machine costs $10,000. Jobs arrive at a rate of 10 per hour with SCV equal to 1 and they must be filled. Management has specified a maximum allowable average response time (i.e. time a job spends at the station) of 2 hours. Currently it is just over 3 hours (check this). Analyze the following options and determine which is best for reducing average response time.

a) Perform more preventive maintenance at a cost of $8000 (over lifetime of the machines). The effect of this on tr and tf is that ultimately ce2 is reduced to 1.

b) Add another identical machine to the workstation at a cost of $10,000. 

c)  Modify the existing machines to make them faster without changing the SCV, at a cost of $8500. The modified machines would have te = 0.96 hours and ce2 = 5.

You may use the VUT spreadsheet used for the example in the video to help you in comparing the options.

Semester Papers
Calculate your paper price
Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

Calculate the price of your order

Total price:

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.


Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.


Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.


Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.


Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.