baumhaus.digital/Design & Computation/Perspectives in Engineering/IOPS/Constraints/Linear Programming/Simplex Algorithm
Imagine you have a map with various paths and you need to find the shortest way to a treasure. Each path has its own rules, like how much weight you can carry or how fast you can travel. The Simplex algorithm helps you navigate these paths and rules to find the most efficient route to the treasure.
In technical terms, it deals with equations representing constraints (like the rules of each path) and a goal (like reaching the treasure in the shortest time). The algorithm iteratively explores vertices on a multidimensional shape (the map), checking at each step if it's closer to the best solution. It's like checking each intersection on a map to see if you're closer to the treasure. This continues until it finds the most efficient route, giving you the best solution to your problem.