Simplex Linear Programming

Master the mechanics of Linear Programming with an industrial-grade, visual Simplex solver.

Whether you are an undergraduate student tackling Operations Research homework or an engineer optimizing complex systems, this app provides a high-performance, native environment to solve and visualize linear models. Built with Apple’s Accelerate Framework (vDSP), the engine performs hardware-accelerated matrix operations for desktop-class speed on your mobile device.

Why this is the ultimate optimization tool:

Visualize the Feasible Region: See your constraints come to life on an interactive Canvas. Plot the quadrant, identify intersection points, and explore the feasible region with intuitive gestures.

The Simplex Journey: Watch the algorithm navigate from the origin to the optimal solution. Our "Visual Walker" tracks every iteration, highlighting each vertex transition with a clear, orange path.

Professional Grade Logic: Full support for Big-M and Two-Phase methods. Easily handle ≤, ≥, and = constraints without needing to manually convert your model.

Precision Entry: Clean, monospaced interface featuring color-coded inputs for coefficients, objective goals, and variable signs.

Education-First Design: Perfect for learning the geometry behind the algebra. Follow the path, analyze the coordinate labels, and see exactly where the "Optimal" solution sits in the coordinate plane.

Purely Native: No web wrappers or lag. Experience a fluid SwiftUI interface designed for "Engineering Soul"—performance, clarity, and reliability.

Student & Professional Value Proposition

For Students: Use it as a powerful "Check Your Work" tool. Compare your manual pivot steps against the visual path and verify your feasible region boundaries.

For Professionals: Quickly prototype constraints and objectives on the go with a solver that respects hardware limitations and mathematical rigor.