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Multistage distributionally robust mixed-integer programming with decision-dependent moment-based ambiguity sets

Mathematical programming, 2020
We study multistage distributionally robust mixed-integer programs under endogenous uncertainty, where the probability distribution of stage-wise uncertainty depends on the decisions made in previous stages.
Xian Yu, Siqian Shen
semanticscholar   +1 more source

A Criterion Space Method for Biobjective Mixed Integer Programming: The Boxed Line Method

INFORMS journal on computing, 2020
Despite recent interest in multiobjective integer programming, few algorithms exist for solving biobjective mixed integer programs. We present such an algorithm: the boxed line method.
Tyler A. Perini   +3 more
semanticscholar   +1 more source

Machine Learning Augmented Branch and Bound for Mixed Integer Linear Programming

Mathematical programming
Mixed Integer Linear Programming (MILP) is a pillar of mathematical optimization that offers a powerful modeling language for a wide range of applications. The main engine for solving MILPs is the branch-and-bound algorithm.
Lara Scavuzzo   +3 more
semanticscholar   +1 more source

Strong mixed-integer programming formulations for trained neural networks

Mathematical programming, 2018
We present strong mixed-integer programming (MIP) formulations for high-dimensional piecewise linear functions that correspond to trained neural networks.
Ross Anderson   +4 more
semanticscholar   +1 more source

An Efficient Local Search Solver for Mixed Integer Programming

International Conference on Principles and Practice of Constraint Programming
Mixed integer programming (MIP) is a fundamental model in operations research. Local search is a powerful method for solving hard problems, but the development of local search solvers for MIP still needs to be explored.
Pengxi Lin, Mengchuan Zou, Shaowei Cai
semanticscholar   +1 more source

A mixed integer programming approach to the tensor complementarity problem

Journal of Global Optimization, 2018
The tensor complementarity problem is a special instance of nonlinear complementarity problems, which has many applications. How to solve the tensor complementarity problem, via analyzing the structure of the related tensor, is one of very important ...
S. Du, Liping Zhang
semanticscholar   +1 more source

Optimization of Multilayer Optical Films with a Memetic Algorithm and Mixed Integer Programming

, 2017
Multilayer optical films have been extensively used in optical technology, but the design of multilayer structures for broadband applications is often challenging due to the need to incorporate material dispersion. Here, we present an implementation of a
Yu Shi, Wei Li, A. Raman, S. Fan
semanticscholar   +1 more source

Mixed-Integer Linear Programming for Optimal Scheduling of Autonomous Vehicle Intersection Crossing

IEEE Transactions on Intelligent Vehicles, 2018
We propose an urban traffic management scheme for an all connected vehicle environment. If all the vehicles are autonomous, for example, in smart city projects or future's dense city centers, then such an environment does not need a physical traffic ...
S. A. Fayazi, A. Vahidi
semanticscholar   +1 more source

Multi-objective mixed integer programming and an application in a pharmaceutical supply chain

International Journal of Production Research, 2018
Multi-objective integer linear and/or mixed integer linear programming (MOILP/MOMILP) are very useful for many areas of application as any model that incorporates discrete phenomena requires the consideration of integer variables.
S. Singh, M. Goh
semanticscholar   +1 more source

A Value-Function-Based Exact Approach for the Bilevel Mixed-Integer Programming Problem

Operational Research, 2017
We examine bilevel mixed-integer programs whose constraints and objective functions depend on both upper- and lower-level variables. The class of problems we consider allows for nonlinear terms to appear in both the constraints and the objective ...
Leonardo Lozano, J. Smith
semanticscholar   +1 more source

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