A common technique for solving integer programming problems is to first relax the problem to a linear program, in which the assignments may be fractional. To convert the fractional solution to an ...

Many practical problems can be formulated using integer programming. An Integer Linear Program (ILP) can be written as (1). In Richard et al. (2003), the authors present a simplex-based algorithm for ...

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.

Abstract: In this paper, a modified Differential Evolution (MDE) is proposed for solving the Integer Programming problems. In order to increase the probability of each parent to generate a better ...

Explore zero-one integer programming, a key method in logical problem-solving, using binary choices for optimal decisions in finance, production, and more.

In this paper we discuss some branch and bound methods implemented in the UMPIRE mathematical programming system for solving practical integer programming problems and give details of computational ...

Abstract: Optimization problems involving a leader decision maker with multiple follower decision makers are referred to as bi-level multi-follower programming problems (BMF-P). In this work, we ...

The paper presents a technique for solving the binary linear programming model in polynomial time. The general binary linear programming problem is transformed into a convex quadratic programming ...