2021 Meisai B Question Algorithm-AHP
In the morning, I updated my thoughts on how to solve the problem of 2021 Meisai B,
Now implement the morning ideas.
(In order to ensure the fairness of the game, the matlab code will not be released for the time being. It
will be announced after the game. If necessary, you can explain it by private message, and you must implement it yourself)
Brief Description of Question B (English):
(Transfer from MCM 2021)
Brief Description of Question B (Chinese):
Using Analytic Hierarchy Process (AHP):
(For reference only! Do not apply directly)
Step 1. Divide the hierarchy
Step 2. Compare the criteria layer by pair to get the judgment matrix
(This data matrix is based on 30 questionnaire surveys)
I hope everyone can checkRelated literatureorConsult a professor in a related schoolTo get the judgment matrix is more accurate.
CheckAgriculture and Forestry MajororGeographic environment related majorPaper, or directly searchRelated instrument analysisCan be.
If it doesn’t work, you can find students in related majors.Questionnaire, The more the better!
Step 3. Consistency check
Principle: Check whether the judgment matrix we constructed is too different from the consensus matrix.
(Here we use Matlab to complete the relevant steps)
Run the code and get the result:
Step 4. CalculationCriterion layerthe weight of
Method one: arithmetic average method
Method two: geometric average method
3. Eigenvalue method
(All three methods can be selected here. If you want to ensure more accurate results, you can average the results obtained by the three methods)
Step 5. CalculationScheme layerScore
1. Capability score
2. Safety score
3.Economics score
4. Topography score
5. Fire event size score
6. Fire event frequency score
Summary Table:
Step 6. Draw conclusions
After a series of analysis and evaluation, the choiceAll covered schemeoptimal.