混合整数规划（Mixed Integer Programming, MIP）是一种优化问题，它结合了线性规划和整数规划的特点。在混合整数规划问题中，一部分决策变量是连续的（可以取任何实数值），而另一部分决策变量是离散的（只能取整数值）。一、基本概念 整数变量：模型中包含一些变量被限定必须取整数值，比如只能是 0 或 1，或者是正整数等。连续变量
Mixed-Integer Nonlinear ProgrammingMichael R. Bussieck Armin Pruessner ∗February 19, 2003AbstractRecently, the area of Mixed Integer Nonlinear Programming (MINLP)has experienced tremendous growth and a flourish of research activity.In this article we will give a brief overview of past developments in...
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The behaviors of most of the strategies and techniques described here can be adjusted using Gurobi parameters. While some models can benefit from parameter tuning, our goal in designing and building the Gurobi Optimizer has been to make the default settings work as well as possible across a broad...
Mixed integer programming problems are defined as those where some or all of the decision variables are only allowed to be integers. This is typically required in a range of real world applications in allocation and planning problems where the discrete variables represent quantities, such as the ...
Mixed integer programming
After presenting several practical applications of mixed integer programming, we describe the main classes of algorithms, branch-and-bound and branch-and-cut, that are used to solve this hard class of problems. Considerable attention is paid to ways to improve solution times, involving preprocessing...
Evaluating Robustness of Neural Networks with Mixed Integer Programming # Remarks Conference: ICLR 2019 Full Paper: groups.csail.mit.edu/ro # Abstract Neural networks trained only to optimize for training accuracy can often be fooled by adversarial examples—slightly perturbed inputs misclassified with...
A problem is classified as being integer programming (IP) when all of the decision variables of the model are discrete, that is, may assume values within a finite set or a numerable quantity of values, derived from counting. When part of the decision variables is discrete and the other is...