本文使用添加约束,两个相邻的点必须在同样一个convex region内,这个限制等于要求转折点必须为了相邻convex region的公共区域,虽然限制了解空间,但是却得到了一个可以使用MIP进行求解的完整问题形式。 [5] 框架 xxx 改进的点 xxx [6] 框架 xxx 改进的点 xxx [7] 框架 借鉴[9]中obstacle avoidance约束的形式 改进...
In each iteration of the BCD method, we solve a mixed-integer convex program (MICP) over a block of 25 binary variables. Our method is applicable to spreading code families of arbitrary sizes and lengths, and we demonstrate its effectiveness for a problem with 66 length-127 codes and a ...
Mixed integer programming
McCormick envelopes are a standard tool for deriving convex relaxations of optimization problems that involve polynomial terms. Such McCormick relaxations
The Lagrangian relaxation problem (7.15) is a convex, nonsmooth program that can be split into separate subproblems for each scenario; therefore, the following equation holds: (7.16)zLR−2SSIPu=∑j=1rzLR−2SSIPju, where zLR−2SSIPju=minpjcxj+qjyj+uHjxj for j=1,…,r. For the ...
Problem (8) is linear except for the KKT complementarity conditions that turn the problem into a nonconvex and nonlinear optimization problem (NLP). More precisely, Problem (8) is a mathematical program with complementarity constraints (MPCC); see, e.g., Luo et al. (1996). Unfortunately, ...
A Generalized Iterated Shrinkage Algorithm for Non-convex :一个广义的迭代收缩算法对非凸 热度: Mixed Integer Recourse Problems:混合整数追索权的问题 热度: Linear and Nonlinear Mixed-Effect Models - Penn State :线性和非线性混合效应模型-宾夕法尼亚州立大学 热度: 相关推荐 Non-ConvexMixed-...
This paper presents two preprocessing techniques for mixed-integer quadratic programs with non-convex objective functions, where the continuous part of the Hessian is invertible. The techniques aim at reducing the number of bilinear terms in the objective. Results show that one of the techniques decre...
Then the transformed problem is reformulated as a convex mixed-integer program by the convexification strategies and piecewise linearization techniques. A global optimum of the signomial MINLP problem can finally be found within the tolerable error. Numerical examples are also presented to demonstrate ...
The value function of such integer subproblem(s) is not convex, and new approaches must be designed. In this paper, we discuss alternative decomposition methods in which the second-stage integer subproblems are solved using branch-and-cut methods. One of the main advantages of our decomposition ...