Each student will work individually to complete a small project for EIND 364. The objective of this small project is to help you see the optimization process as a whole – not just following the steps of a recipe but working through all aspects of solving a small real-world problem. It is expected that you will run into obstacles during this experience. These are an important part of the learning process, and you should incorporate them into your project, discussing what difficulties you encountered and how you chose to tackle them. The most important part is not what solution you get (in fact, some very good projects may fail to find a true solution) but how you attempted to solve the problem.
The final report of your small project will be a written document of maximum 4 pages, not including appendices and attachments. This document should not just be a summary of the end results but should instead chronicle the entire experience. The interest is to see places where you encountered obstacles and how you addressed those challenges – creativity and ingenuity is part of the process! Within your write-up, be sure to explicitly address each of the following topics
The first step of the project is to identify a small real-world problem to be solved. This step includes explicitly identifying the decision to be made, the criterion by which the quality of a solution is evaluated (goal), and the rules which limit the possible solutions. Some examples of small real-world problems are provided at the end of this document for your reference.
Next, you should develop a mathematical program to represent your problem. This should be stated in general terms (i.e. no input data specified) so that any problem instance could be solved using your formulation. If your model has characteristics that prevent you from using the solution techniques though in class, you will have to then modify your model in some way. Be sure to state how you have chosen to do so, what assumptions you have made, and so forth. You should also be sure in your analysis of the results to discuss the impact of your modifications.
You should gather enough data to construct a single instance of your problem. This can be limited in scope. For example, if your problem has to do with making decisions for EIND 364 students, your data set might be limited to just 10 students rather than all the students registered in the course. It is not unusual that you will find some difficulties either in gathering the data or in its quality/accuracy. Be sure to discuss this. In some cases, you may be unable to gather what you need. One option at this point is to randomly generate data as a test case. Be sure to discuss the detail if you take this option.
You should next solve this instance of your problem using LINDO/LINGO or Excel Solver. Did anything go wrong? If so, discuss and then propose an alternative approach.
What does your answer mean in terms of the original problem that you proposed? Do the results make sense to you? Do they indicate that you asked the right question? Also, you should consider some sensitivity analysis. For example, if you change your objective function coefficients by a small amount, would you expect the solution to stay the
Small Project Final Report Rubric
Principles of Operations Research
NOTE: Print this rubric (double-sided) and attach it to the Final Report.
Student Name: _____________________________________________
PROBLEM DEFINITION ____/5pts
ORIGINALITY OF TREATMENT ____/5pts
ORGANIZATION AND ACCURACY ____/5pts
Final Project for the Fluids lab It is a group project. You need to submit a written proposal (report) in the end. Your proposed ideas are critical. The experiment you design is a preliminary experiment to convince the reviewers that there are grounds to what you proposed and you are capable to perform the work, eventually convince the reviewers to fund your project. The format of this proposal is based on research proposals with simplifications. National Science Foundation, when they collect proposals from research groups, ask the proposer to explain why his/her proposed research deserves tax money. Companies are similar, except that they put much more emphasis on short-term applications than on long-term intellectual merit. In proposals, we often put equal weight on “intellectual merit” and “broader impact”. Here we focus on the broader impact so you need to explain why your project is meaningful.
• If your project does not satisfy “intellectual merit” (e.g., a minor modification of preexisting project), your project will be meaningful if the outcome from your project is potentially useful for some practical purpose. NSF call this criterion “Broader Impact”
In your final proposal, please include the following sections:
A. Project description.
C. Broader impact (practical purpose).
D. Preliminary experiment design.
E. References In the project description, give the reviewer a general idea about what you plan to do, how and why. In the introduction, give the background information about what has been done, what exactly you are proposing, and a plan to complete the project. In the broader impact, emphasize the practical advantages this project will bring. A proposed preliminary experiment is the only experiment you will design for this proposal. It could be simple as long as it fits in the story of proposed work. For example, you are proposing an innovated procedure to design effective pipe systems for new buildings particularly for a mixed use of office and lab spaces. With the new design procedure, it is faster to create an effective energy-saving pipe system for different buildings. To create such a design procedure, you need funding to complete these tasks: survey the specific requirements, design the procedure (simulation and experiments), testing, and deploy the new procedure. Now you need to write a proposal about this and asking for funding to support your work. To secure the funding with a better chance, you need to design/perform a preliminary experiment. You choose to use the friction experimental apparatus and design a friction experiment to demonstrate how pipe configuration could affect the energy consumption which can help design an energy-saving pipe system.
In the section of preliminary experiment design, please include:
(i) Description of Experimental design
(ii) Proposed experiment procedure
(iii) Predicted experimental results
(iv) Perform analysis based on predicted experimental results
No need for error analysis.
It is your responsibility to fit the experimental design into the proposal. After you read this document, you need to do the followings:
1. Check out the list of instruments we have in the lab in the last page of this document.
2. Please choose an instrument in the Fluids lab you propose to use in your designed experiment. You may pick the same instrument you used before but your proposed
experiment needs to be different from the previous experiment you performed. 3. Please research the experiments from the lab manual could be performed with your choice of the instrument. 4. Work on the proposal. To get predicted experimental results, please perform analysis with the predicted experimental results (you may find example results in the lab manual). If example results are not found, you will list all equations and theories clearly and create your own data based on researching relative systems to use for the analysis. 5. Submit final report through Elearning by 5 pm on Nov 13th. Thank you all!
P.S. No alcohol no weapons involved in the experimental design.
If you have trouble to come up a proposal, you should pick an instrument interests you the
most in the lab first to design the experiment, then work on the proposal based on your
experimental design, as every instrument has its unique meaning in understanding the
fundamentals of the fluids. Here is a list of instruments we have in the lab in addition to those six equipment used in our regular experiments. 1. EduPIV systems: https://www.dantecdynamics.com/edupiv-educational-piv-system 2. H19 Pelton-Turbine: https://www.tecquipment.com/pelton-turbine 3. H40 Flowmeter calibration: https://www.tecquipment.com/flow-meter-calibration 4. H5 Venturi Meter (Bernoulli’s Theorem) Apparatus:
https://www.tecquipment.com/venturi-meter 5. H9 Hele-Shaw apparatus: https://www.tecquipment.com/hele-shaw-apparatus 6. H408 Fluid Friction Apparatus: https://www.tecquipment.com/fluid-friction-apparatus 7. HM 150.07 Bernoulli’s principle (similar to H5): https://www.gunt.de/en/products/fluidmechanics/physical-principles/principles-of-hydrodynamics/bernoulli-sprinciple/070.15007/hm150-07/glct-1:pa-148:ca-778:pr-554 8. HM 150.10 Visualization of streamlines (similar to H9):
785:pr-557 9. HM 150.29 Energy losses in piping elements: https://www.gunt.de/en/products/fluidmechanics/steady-flow/flow-in-pipe-systems/energy-losses-in-pipingelements/070.15029/hm150-29/glct-1:pa-148:ca-152:pr-569 10. HM 135 Determination of the settling velocity: https://www.gunt.de/en/products/fluidmechanics/physical-principles/properties-of-fluids/determination-of-the-settlingvelocity/070.13500/hm135/glct-1:pa-148:ca-776:pr-540
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