CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its ...

Ch 12: Linear Programming In Linear Programming, focus on graphical method of solving linear programming problems, Solve graph questions and previous year question papers. Ch 13: Probability Learn ...

However, standard FOMs, such as the primal-dual hybrid gradient (PDHG) method, are not yet reliable for LP problems, solving only a small fraction of instances. Google researchers introduce PDLP ...

the size of the underlying search space for finding potential solutions increases exponentially rather than in a linear fashion with respect to the problem size. HypOp can solve these complex ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

These two approaches are complementary, and when used together, they locate the essential subset of initial constraints required for solving medium and large-scale linear programming problems. After ...

And then, you should make inequality sign to be a equal sign, which means you need to add slack variables to every rows. $$\begin{cases} \min \quad z = -6x_1+3x_2-3x_3 \\\ s.t. \quad 2x_1 + x_2 &\leq& ...

The graphical method is a simple way to solve linear programming problems with two decision variables. It involves plotting the constraints on a graph, identifying the feasible region, and ...