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

Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design and ...

Benchmark instances modelling the supply chain of a fictive company producing and selling cell phones and accessories of different types. The instances formulate typical mixed-integer linear ...

This paper develops an algorithm for pure integer programming problems. It first transforms the integer programming problem to an algebraically equivalent Hermite canonical problem, and then employs ...

Write down the Linear Program (LP) relaxation of an IP Plot the graphical representation of an IP and find the optimal solution Understand the relationship between optimal solution of an IP and the ...

Abstract: This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that ...

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.

Abstract: With the proliferation of megaconstellations, the design of supporting infrastructure to enable these systems broadband services presents a challenge for satellite operators aiming to ...