Experiment with the model studied in class to determine how many patients, methods, and doctors (use the same number of all three parameters for simplicity) you can add before the visualization becomes illegible. Then, continue adding more until the calculation of the assignment starts to feel slow.
Once you notice that it is taking time to make the calculation, find something to measure time (a clock on the computer or a stopwatch on your phone). Pick five different parameter values (patient/method/doctor counts) at which the calculation is slow but not impossibly so (meaning that it takes more than a second but not more than a minute, at most, depending on how patient you are). Then, run the calculation five times for random data for each of those parameter values and measure how long it took. Report these 25 measurements in a table of your own design and discuss your findings.
Craft of a way to visually represent the data in the table you prepared in the basic stage in some sort of a plot. Prepare the graphic either by computer with the tool of your choice or by hand (if you draw on paper, include a photograph of the drawing in your response).
Discuss whether the visualization is helping you to gain more insight into what is happening with the model and the algorithm that we are using to solve the problem.
Start by casually reading these lecture notes from Stanford (or similar; try not to stop at unfamiliar terms or notations, make your best guess and keep going).
Then, attempt to draft equations like those of the notes for the model we studied in class. For any symbol you use, write down your best understanding of what it stands for. There is no need to be formal or correct, the goal is simply to attempt to bridge what we saw in class with what is written in the lecture notes and identify the weak spots in your understanding.
Document your process and end result in writing and with drawings where applicable.
Read the article DOI 10.1007/s10729-006-0002-4 (or a similar one of your choice) that applies a network flow model to an applied problem. Search for similarities between the proposed model and our own model we studied in class. Document the similarities as well as any differences you spot in writing. It may be helpful to use diagrams as well.
Remember to write everything in your own words and to make your own diagrams instead of reusing those of the sources that you cite. Yet, keep in mind that you must cite the sources properly even when you do not in fact copy anything directly from them.