24 Sep RCH D3
Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be a minimum of 300 words in length, and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers.
Distribution and Network Models
We know that most problems which have resources to be allocated from many sources to multiple destinations can be solved using the maximum flow method. Examples may include airline scheduling or fairness in car sharing, etc. Can you explain why for them or find other example(s) to explain it so we can better understand how maximum flow method works in real world scenarios? (If you prefer, you may also choose other examples to illustrate other methods covered in this Distribution and Network Models Module.)
John Pfeffer
The maximum flow method is used for airline scheduling because there is a lot of air traffic and when they are scheduling flights they want to ensure they are getting the shortest flight times or the most convenient flight path. This makes it fair to everyone and it allows people to know when and where they will be headed if they have a layover on the way to their final destination. I’m sure at some point all of us have looked for plan tickets and chosen the one with a layover because it is the cheaper option. It is always more convenient to take a non-stop flight but financially you may want the cheaper option and the longer route works best.
Another example that is similar to this process is a flow chart that technicians may use for troubleshooting. There could be multiple different steps you can take but it ultimately comes down to if and then statements. I have used this method before in real life when I was in the Navy and I knew I was going to get in trouble. I could either go the long route or the short route that ended quickly.
I think we all use the maximum flow method in our everyday lives we just have not realized it until we learned about this method. If we need to figure out the best way to get some where or the best flow of something and have multiple different stopping points it is the best method. It provides you with the ability to find the shortest, maximum, and best route for your situation.
David R. Anderson; Dennis J. Sweeney; Thomas A. Williams; Jeffrey D. Camm; James J. Cochran; Michael J. Fry; Jeffrey W. Ohlmann (2018) An Introduction to Management Science: Quantitative Approach, (15th Edition) Cengage Learning
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