What is an Optimal Solution and How is it Different from a Heuristic?

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An example of an optimal solution could be finding the shortest route for a traveling salesman or finding the correct numbers to fill in a Sudoku puzzle.
  • #1
steve22
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Hi Guys

Can someone please explain what optimal solution is. I am a computing student and have to study algorithms.

I have done some research and i have the following information but i still don't know what op is. If anyone can explain what it is and were an example of a OP such as the travling salesmen or Suduko. :confused::confused:

Heres what i have at the moment

Optimal solution: In the context of the Optimizer, the optimal solution is the one with the lowest cost or highest return from among the set of scenarios analyzed by the Optimizer. Optimal solution which only uses a minimum possible number of moves.
 
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  • #2
Optimal just means best. So the optimal solution would usually be the fastest or the one that produces the most accurate answer, although it could also be the solution which uses least memory or some other ocnsideration.

If you want to know the optimal solution to the traveling salesman problem that's a bit trickier.
 
  • #3
steve22 said:
Heres what i have at the moment

Optimal solution: In the context of the Optimizer, the optimal solution is the one with the lowest cost or highest return from among the set of scenarios analyzed by the Optimizer.
This is a good working definition. To better understand what an optimal solution is, look up the difference between a heuristic and an optimal solution.
 

FAQ: What is an Optimal Solution and How is it Different from a Heuristic?

What is an optimal solution?

An optimal solution is the best possible solution to a specific problem, given the constraints and criteria involved. It is the most efficient and effective way to achieve a desired outcome.

How do you determine an optimal solution?

To determine an optimal solution, various methods and techniques can be used such as mathematical modeling, algorithms, and data analysis. It involves evaluating different options and selecting the one that meets the objectives and constraints of the problem most effectively.

Why is finding an optimal solution important?

Finding an optimal solution is important because it can lead to cost savings, time efficiency, and improved performance in various fields such as business, engineering, and science. It also helps in decision-making and problem-solving processes.

What are the key factors to consider when seeking an optimal solution?

The key factors to consider when seeking an optimal solution include the objectives and constraints of the problem, available resources, time frame, and potential risks. It is also important to consider the trade-offs between different solutions and their potential impact.

Can an optimal solution change over time?

Yes, an optimal solution can change over time. This is due to changes in the problem constraints, available resources, and new information that becomes available. It is important to regularly re-evaluate the optimal solution to ensure it remains the most efficient and effective approach.

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