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 ...

Abstract: This paper is about the primal-dual relationship in a mixed integer programming problem (MIP) in which integer variables are binary. It shows how the primal-dual relationship of a linear ...

MIP is a type of mathematical optimization that seeks to find the best values for a set of variables that satisfy a given objective function and a set of constraints. The variables can be either ...

Mixed-integer quadratic programming (MIQP) is the problem of optimizing a quadratic function over points in a polyhedral set where some of the components are restricted to be integral. In this paper, ...

The field of mixed integer programming addresses optimisation problems characterised by both continuous and discrete decision variables subject to linear constraints. Traditional exact methods, ...

This package is an extension of SageMath's mixed integer linear programming facilities described at http://doc.sagemath.org/html/en/reference/numerical/index.html It ...

This is an attempt to reproduce the aforementioned paper by using CVXPY as the main framework. There are several solvers (mixed-integer linear programming) that can be used, such as: SCIP, SCIPY, GLPK ...

Airline scheduling is a complex and challenging problem that involves assigning flights, crews, and aircraft to meet customer demand, operational constraints, and cost objectives. Integer programming ...

Formulations of mathematical programs often require that some of the decision variables take only integer values. Consider the formulation You can follow the same steps to identify binary variables.