A. Tomlin. Branch and bound, integer, and non-integer programming. Annals of Operations Research, 149(1):81-87, February 2007.J.J.H. Forrest and J.A. Tomlin. Branch and bound, integer, and non-integer program- ming. Annals of Operations Research, 149(1):81-87, 2007....
运筹我们最先接触分支定界算法,也就是由Land Doig和Dakin在20实世纪60年代初提出的branch and bound算法,用在整数规划(Integer Programming,简称IP。全部决策变量是整数)中。其实用在混合整数规划(部分决策变量是整数)中也是可以的(本身混合整数规划就能够转化为整数规划)。 目前很多求解器,如cplex和gurobi就是基于分...
具有二次约束的MIP模型称为混合整数二次约束规划(Mixed Integer Quadratically Constrained Programming, MIQCP)问题。没有任何二次特征的模型通常被称为混合整数线性规划(MILP)问题。 以下是Gurobi用于解决MILP模型的算法的描述, MIQP和MIQCP与此类似。 二、Branch-and-Bound MILP问题一般用基于branch-and-bound算法的线...
IterativeDeepeningAppliedtoIPBranchandBound TheAdaptiveMetaheuristicforNodeSelectioninIPBranchandBound LearningStrategiesusedinNodeSelectioninIPBranchandBound Conclusion IntroductiontoIP(1) Thegoaloftheintegerlinearprogrammingis: tooptimize,i.e.eithermaximizeorminimizealinearobjectivefunctionsubjecttoasetoflinearconstrai...
Distributed versus centralized storage and control for parallel branch and bound: mixed integer programming - Eckstein - 1997 () Citation Context ...ems, but at complicated LP-based branch-and-bound methods involving dynamic constraint and variable generation. Some aspects of PEBBL’s task ...
Multi-objective combinatorial optimization Multi-objective integer programming Branch & bound Objective branching Bound sets 1. Introduction In many real-world problems, often more than one objective need to be optimized. Indeed, a decision maker may be interested in minimizing one objective, e.g., ...
To fill in this gap, we propose an enhanced branch-and-bound algorithm for bilevel integer linear programming (BILP) problems where decision variables are all integers. We take a branching rule previously proposed by Xu and Wang (2014) as the benchmark and embed an enhanced branching idea in...
Branch-and-bound is the workhorse of all state-of-the-art mixed integer linear programming (MILP) solvers. These implementations of branch-and-bound typically use variable branching, that is, the child nodes are obtained by fixing some variable to an integer value $v$ in one node and to $...
This approach is largely due to the existence of packaged software for solving Nonlinear Programming (NLP) and Mixed Integer Linear Programming problems.In contrast, an integrated approach to solving MINLP problems is considered here. This new algorithm is based on branch-and-bound, but does not ...
IntegerProgrammingThis paper describes a branch and bound algorithm for a general class of asymmetrical vehicle routeing problems. Vehicle routes start and end at a central depot. Visits are made to nodes grouped into clusters: every cluster must receive a minimum number of visits. But not all ...