Solving the two-dimensional strip packing problem, using several combinatorial decision making and optimization approaches: Constraint Programming, Boolean SATisfiability, Satisfiability Modulo Theory ...

Linear Relaxation: The process of removing the integer constraints from an integer programming problem to solve an easier continuous problem that provides bounds for the original.

Integer Linear Programming (ILP) is the foundation of combinatorial optimization, which is extensively applied across numerous industries to resolve challenging decision-making issues. Under a set of ...

Extract the linear programming problem from an image. :param image_path: Path to the image file. :return: Objective function coefficients, constraint coefficients, and RHS values. Solve linear ...

To obtain a minimum backbone grid, a mixed integer linear programming (MILP) model with network connectivity constraints for a minimum backbone grid is proposed. In the model, some constraints are ...

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented.

M. Raghavachari, On Connections between Zero-One Integer Programming and Concave Programming under Linear Constraints, Operations Research, Vol. 17, No. 4 (Jul. - Aug ...

Integer Programming and Cutting Plane Methods Publication Trend The graph below shows the total number of publications each year in Integer Programming and Cutting Plane Methods.