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

Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

Integer programming is a crucial branch of mathematical optimisation that focuses on problems where some or all decision variables are constrained to be integers. This field underpins many ...

A Ruby interface to some LP solvers, implemented in C, this tool is able to solve Integer Linear Programming (ILP) with CPLEX, Gurobi and lp_solve ...

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 ...

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.

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.

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 ...