Concept

Branch and bound

Related lectures (32)

Covers the Branch & Bound algorithm for efficient exploration of feasible solutions and discusses LP relaxation, portfolio optimization, Nonlinear Programming, and various optimization problems.

Branch & Bound Algorithm: LP Based Approach

Explores the LP-based Branch & Bound algorithm for finding optimal solutions.

Branch and Bound: Heuristic Maximization

Explains the Branch and Bound algorithm for heuristic maximization problems using LP relaxations and pruning techniques.

Greedy Strategy and Dynamic Programming

Explores the concepts of greedy strategy and dynamic programming in building optimal solutions for various problems.

Solving Integer Linear Programs

Covers solving integer linear programs graphically, algorithmically, and through optimization methods.

Branch and Bound: Formal Description

Covers the Branch and Bound algorithm, focusing on formal description and implementation steps to find optimal integer solutions.

Optimal Decision Making: Integer Programming

Covers integer programming, convex hulls, Gomory cutting planes, and branch and bound methods.

Cutset Formulation: MST Problem

Explores the cutset formulation for the MST Problem and Gomory Cutting Planes method.

Exact methods: Branch and Bound

Explores the Branch and Bound algorithm in discrete optimization, efficiently finding optimal solutions by calculating lower bounds on subsets.

Large Scale Stability Analysis

Covers large scale stability analysis and properties of dynamical systems solutions.

Large Scale Stability: Bounded Solutions

Covers large scale stability with a focus on bounded solutions and their implications.

Exact Methods for Integer Optimization

Covers exact methods for integer optimization, emphasizing Branch and Bound techniques.

Branch and Bound: Optimization Techniques

Covers the Branch and Bound optimization technique with LP Relaxation and Integral Optimal Solutions.

Nonlinear Optimization Methods

Covers methods for solving nonlinear optimization problems, including direct search, Newton-Raphson, and branch and bound.

Optimization in Engineering

Explores optimization methods in engineering, covering decision variables, constraints, and various solving techniques.

Iterative Rounding Heuristic

Explores optimal integer programming, Gomory cuts, and an iterative rounding heuristic.

The Transhipment Problem: Total Unimodularity

Covers the transhipment problem, the incidence matrix, and total unimodularity.

Weak and Strong Duality

Covers weak and strong duality in optimization problems, focusing on Lagrange multipliers and KKT conditions.

Dynamical System Theory for Engineers: Large Scale Stability

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Discussion of Complexity

Explores worst-case complexity in computer science and the importance of real-life complexity in algorithm selection.