[S1E03] Sensitivity Analysis: The "Shelf Life" of an Optimal Solution
Автор: jiaweihuang
Загружено: 2025-12-28
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Welcome to Season 1, Episode 3 of the Operations Research series!
In the real world, data is never static. Prices fluctuate, and resources change. After finding the "Optimal Solution" (the peak of the diamond), we must ask: How stable is this solution?
In this video, we explore Sensitivity Analysis. Think of it as checking the "Shelf Life" of your decision.
If market prices change slightly, is our current plan still the best?
Or does the geometry "tilt" enough that we need to jump to a new vertex?
Key topics covered in [S1E03]:
Range of Optimality: Visualizing how much the objective function can rotate before the optimal point shifts.
Range of Feasibility: What happens if we change the available resources (RHS)?
The "What-if" Analysis: Predicting changes without resolving the whole problem.
Season 1 Roadmap:
[S1E01] The Simplex Method (Climbing the Diamond)
[S1E02] Duality Theory (The Shadow Price)
[S1E03] Sensitivity Analysis (Current Video)
[S1E04] Coming soon
#operationsresearch #sensitivityanalysis #optimization #linearprogramming #maths
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