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 practical ...

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

AA particularly important type of integer programming problem is one in which the integer variables have to be either 0 or 1, depending on whether or not some action is taken. And pure integer ...

programming problem to an algebraically equivalent problem with special structure, we extend Cabot's theorem on the Fourier-Motzkin elimination method to arbi- trary integer programs with n or n+ 1 ...

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: Linear and integer programming have recently gained interest as new approach for decoding channel codes. In this paper, we present a framework for the analysis of arbitrary linear block ...

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.

Mathematical Optimization in Julia. Local, global, gradient-based and derivative-free. Linear, Quadratic, Convex, Mixed-Integer, and Nonlinear Optimization in one ...