Introduction to Optimization: What Is Optimization?
Ғылым және технология
A basic introduction to the ideas behind optimization, and some examples of where it might be useful.
TRANSCRIPT:
Hello, and welcome to Introduction to Optimization. This video provides a basic answer to the question, “What is optimization?”
In simplest terms, optimization is choosing inputs that will result in the best possible outputs, or making things the best that they can be.
This can mean a variety of things, from deciding on the most effective allocation of available resources, to producing a design with the best characteristics, to choosing control variables that will cause a system to behave as desired.
Optimization problems often involve the words maximize or minimize. Optimization is also useful when there are limits (or constraints) on the resources involved, or boundaries restricting the possible solutions.
Let’s take a look at a very simple example of an optimization problem:
Given a parabola, chose x to get the largest y.
We can try different x values to see the resulting y value. Eventually we can find the maximum y value by choosing x here. You may also have solved this type of problem in calculus class by taking the derivative of the parabola and setting it equal to zero.
Now for this simple problem it is easy to see the correct solution. For more complicated problems, it can be difficult to immediately see the correct solution, guessing and checking can take much too long, and it can be difficult to find the values where the derivative is equal to zero. To find the answers to most optimization problems we need to use a special type of program called an optimization algorithm. We’ll learn more about optimization algorithms in upcoming videos.
Optimization can be applied to a huge variety of situations and problems. For example:
Warehouse placement
Choosing the optimal location for a warehouse to minimize shipment times to potential customers.
Bridge design
Designing a bridge that can carry the maximum load possible for a given cost.
Build order
Choosing the optimal build order for units in a strategy game to amass the strongest possible army in a given time.
Artificial Pancreas
Controlling the insulin output from an artificial pancreas to minimize the difference between actual and desired blood sugar levels throughout the day.
Wing design
Design an airplane wing to minimize weight while maintaining strength.
Stock portfolio
Selecting the best set of stocks to invest in to maximize returns based on predicted performance.
Temperature control of a chemical reaction
Controlling the temperature of a chemical reaction throughout a process to maximize the purity of a desired product.
As you can see, optimization is a powerful tool in many applications. This is just a small sampling of the many fields that make use of optimization techniques to improve the quality of their solutions. If something can be modeled mathematically, it can usually be optimized.
To summarize:
Optimization improves results by helping to choose the inputs that produce the best outputs
Most optimization problems require an optimization algorithm to solve
Optimization is applicable to many disciplines
Пікірлер: 65
Good faith videos that keep things concise and to the point. Thank you
I just came across this video, played the whole list and excited to know more about Optimization. Thank you...
@beoptimistic5853
3 жыл бұрын
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@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
@anniehamalian3077
Жыл бұрын
Check out www.youtube.com/@decisionbrain videos to know more about optimization
This is close to application math, this is so good for gave us the biggest picture of it!
Thanks, very simple and clear
പൊളി സാനം ________😃
Great video, thanks.
Thank you, this was a great introduction to tge topic.
Thank you so much for the transcript. I needed it for my homework. I'll put you in my references ;)
@beoptimistic5853
3 жыл бұрын
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@jokarmaths7771
2 жыл бұрын
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Wow... U deserve way more subs than u currently have!
Great Explanation! Subbed!
Good explanation 👍
Extremely great video Thanks a lot for beautiful illustration
@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
U done great work in short time. U help to introduce. Optimization in best ways thanks sir
@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
I am greatly thankful for having this video. I am requesting you make all videos in a series.
@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
Thanks alot. The best explanation
@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
I suppose we can also say optimization is choosing the best input or best process, or both the best process and best input to yield the best output
Very good explanation..thanks
@jokarmaths7771
2 жыл бұрын
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More videos pleaseeeeee
@jokarmaths7771
2 жыл бұрын
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Thanks sir 💜💜
@jokarmaths7771
2 жыл бұрын
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Thanks! Mine area is structural optimisation
@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
You would not believe me but I have been looking for an interpretation of why do we use derivatives when we already have a function and can plug in any value to know the output and finally a video that answered my question I have been looking for an answer for months
@beoptimistic5853
3 жыл бұрын
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@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
more videos please
Incredible video! @AlphaOpt - Do I have your permission to share your video and/or embed it on my website? Full credits will be given.
Wow great work please give some reference to improve your work 👍
@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
Quick question. How can I find the Domain or Interval of interest?
@beoptimistic5853
3 жыл бұрын
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@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
hello... sir, what exactly the main function of a computer in optimizing?? can you tell me what is it? is there really the main function in optimizing?? please?? I'm searching for an answer for this manny times but no one can answer my question...i think there is no such a main thing function on a computer in optimizing..
@beoptimistic5853
3 жыл бұрын
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@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
fantastic explain
@beoptimistic5853
3 жыл бұрын
kzread.info/dash/bejne/ioR3yamNaaXSorQ.html 💐
Kindly solve problem like 5 central warehouse and 9 regional warehouses and 2 plant. It is minimum cost type problem. Also please solve in excel solver
@beoptimistic5853
3 жыл бұрын
kzread.info/dash/bejne/ioR3yamNaaXSorQ.html 💐
@jokarmaths7771
2 жыл бұрын
amazing kzread.info/dash/bejne/Z6qi2ZOScZDNnaw.html
it's very helpful thanks
@beoptimistic5853
3 жыл бұрын
kzread.info/dash/bejne/ioR3yamNaaXSorQ.html 💐
what is the objective of optimization theory???
@chrisriley9182
5 жыл бұрын
Choosing inputs that will result in the best possible outputs: For example, if you have a very sore stomach and you don't know what is wrong, you could choose the 'input' of a family member, and they will advise you what to do, and when you do what they say you get a result (which is the 'output'). However perhaps by choosing the 'input' of a doctor you will get a very good result (output) so therefore the objective of optimization is to find the best input, to get the best output.
@ravdeepkour6641
5 жыл бұрын
@@chrisriley9182 great explanation
@chrisriley9182
5 жыл бұрын
@@ravdeepkour6641 Thank you!
@beoptimistic5853
3 жыл бұрын
kzread.info/dash/bejne/ioR3yamNaaXSorQ.html 💐👍
Teenager translation - you can basically kill 2 birds for the price of one LMAO
@idontliketoinvest
3 жыл бұрын
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Om pure white House