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A standard quadratic program is an optimization problem that consists of minimizing a (nonconvex) quadratic form over the unit simplex. We focus on reformulating a standard quadratic program as a mixed integer linear programming problem. We…

Optimization and Control · Mathematics 2018-10-05 Jacek Gondzio , E. Alper Yildirim

We consider a problem concerning a network and a set of maintenance requests to be undertaken. We wish to schedule the maintenance in such a way as to minimise the impact on the total throughput of the network. We apply disaggregated…

Optimization and Control · Mathematics 2017-03-17 Robin H. Pearce , Michael Forbes

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming…

Optimization and Control · Mathematics 2018-11-27 Jianfeng Liu , Anya Castillo , Jean-Paul Watson , Carl D. Laird

In recent years, there has been considerable interest in the transformative potential of additive manufacturing (AM) since it allows for producing highly customizable and complex components while reducing lead times and costs. The rise of…

Discrete Mathematics · Computer Science 2023-08-21 Benedikt Zipfel , Felix Tamke , Leopold Kuttner

A novel coupled path planning and energy management problem for a hybrid unmanned air vehicle is considered, where the hybrid vehicle is powered by a dual gas/electric system. Such an aerial robot is envisioned for use in an urban setting…

Optimization and Control · Mathematics 2022-05-31 Satyanarayana G. Manyam , David W. Casbeer , Swaroop Darbha , Isaac E. Weintraub , Krishna Kalyanam

In this work, we present the solution approach for the Integrated Healthcare Timetabling Competition 2024 submitted by Team Twente, which ultimately ranked third among the finalists. Our approach combines mixed-integer programming,…

Artificial Intelligence · Computer Science 2026-05-04 Daniela Guericke , Rolf van der Hulst , Asal Karimpour , Ieke Schrader , Matthias Walter

In this paper, a flexibility-oriented microgrid optimal scheduling model is proposed to mitigate distribution network net load variability caused by large penetration distributed solar generation. The distributed solar generation…

Systems and Control · Computer Science 2016-08-17 Alireza Majzoobi , Amin Khodaei

We study the problem that requires a team of robots to perform joint localization and target tracking task while ensuring team connectivity and collision avoidance. The problem can be formalized as a nonlinear, non-convex optimization…

Robotics · Computer Science 2022-10-12 Rahul Zahroof , Jiazhen Liu , Lifeng Zhou , Vijay Kumar

One of the keys to flying quadrotors is to optimize their trajectories within the set of collision-free corridors. These corridors impose nonconvex constraints on the trajectories, making real-time trajectory optimization challenging. We…

Optimization and Control · Mathematics 2022-08-16 Yue Yu , Kartik Nagpal , Skye Mceowen , Behçet Açıkmeşe , Ufuk Topcu

In this work, the online printing shop scheduling problem is considered. This challenging real problem, that appears in the nowadays printing industry, can be seen as a flexible job shop scheduling problem with sequence flexibility in which…

Optimization and Control · Mathematics 2022-02-22 Willian T. Lunardi , Ernesto G. Birgin , Philippe Laborie , Débora P. Ronconi , Holger Voos

Piecewise affine functions are widely used to approximate nonlinear and discontinuous functions. However, most, if not all existing models only deal with fitting continuous functions. In this paper, we investigate the problem of fitting a…

Optimization and Control · Mathematics 2020-01-29 Ruobing Shen , Bo Tang , Leo Liberti , Claudia D'Ambrosio , Stéphane Canu

We introduce a stochastic version of the cutting-plane method for a large class of data-driven Mixed-Integer Nonlinear Optimization (MINLO) problems. We show that under very weak assumptions the stochastic algorithm is able to converge to…

Optimization and Control · Mathematics 2021-03-04 Dimitris Bertsimas , Michael Lingzhi Li

We study the routing problem for vehicles with limited energy through a network of inhomogeneous charging nodes. This is substantially more complicated than the homogeneous node case studied in [1]. We seek to minimize the total elapsed…

Optimization and Control · Mathematics 2014-04-25 Sepideh Pourazarm , Christos G. Cassandras

This paper addresses the challenges of decision-making for autonomous vehicles under faults during a transport mission. A real-time decision-making problem of vehicle routing planning considering maintenance management is formulated as an…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Xin Tao , Zhao Yuan

The shift design and the personnel scheduling problem is known to be a difficult problem. It is a real-world problem which has lots of applications in the organization of companies. Solutions are usually found by dividing the problem in two…

Optimization and Control · Mathematics 2024-03-28 Nicolo Gusmeroli , Andrea Bettinelli

This paper studies binary quadratic programs in which the objective is defined by a Euclidean distance matrix, subject to a general polyhedral constraint set. This class of nonconcave maximisation problems includes the capacitated,…

Optimization and Control · Mathematics 2023-09-19 Hoa T. Bui , Sandy Spiers , Ryan Loxton

This study introduces a mixed-integer linear programming (MILP) model, effectively co-optimizing patrolling, damage assessment, fault isolation, repair, and load re-energization processes. The model is designed to solve a vital operational…

Systems and Control · Electrical Eng. & Systems 2024-01-12 Ali Jalilian , Babak Taheri , Daniel K. Molzahn

In this paper, we propose a distributed coordinated constrained task execution (C2TE) algorithm that enables a team of vehicles from different lanes to cooperatively merge into an {\it ordering-flexible platoon} maneuvering on the desired…

Robotics · Computer Science 2025-06-17 Bin-Bin Hu , Yanxin Zhou , Henglai Wei , Shuo Cheng , Chen Lv

We present methods to synthesize cooperative strategies for multi-vehicle control problems using mixed integer linear programming. Complex multi-vehicle control problems are expressed as mixed logical dynamical systems. Optimal strategies…

Robotics · Computer Science 2011-01-28 Matthew G. Earl , Raffaello D'Andrea

This work presents a machine learning approach to optimize the energy efficiency (EE) in a multi-cell wireless network. This optimization problem is non-convex and its global optimum is difficult to find. In the literature, either simple…

Signal Processing · Electrical Eng. & Systems 2023-12-18 Bile Peng , Karl-Ludwig Besser , Ramprasad Raghunath , Eduard A. Jorswieck