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Mixed integer nonlinear programming (MINLP) problems are encountered in modeling a physical/industrial process consisting both nonlinearity and discrete selective parameters. There are variety of algorithms for solving MINLP problems most…

Optimization and Control · Mathematics 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

This paper presents a novel approach to the joint optimization of job scheduling and data allocation in grid computing environments. We formulate this joint optimization problem as a mixed integer quadratically constrained program. To…

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

This paper studies disjunctive cutting planes in Mixed-Integer Conic Programming. Building on conic duality, we formulate a cut-generating conic program for separating disjunctive cuts, and investigate the impact of the normalization…

Optimization and Control · Mathematics 2020-09-08 Andrea Lodi , Mathieu Tanneau , Juan Pablo Vielma

This paper presents a hybrid CPU-GPU framework for solving combinatorial scheduling problems formulated as Integer Linear Programming (ILP). While scheduling underpins many optimization tasks in computing systems, solving these problems…

Machine Learning · Computer Science 2026-04-01 Mingju Liu , Jiaqi Yin , Alvaro Velasquez , Cunxi Yu

This paper considers a recoverable robust single-machine scheduling problem under polyhedral uncertainty with the objective of minimising the total flow time. In this setting, a decision-maker must determine a first-stage schedule subject…

Optimization and Control · Mathematics 2022-03-08 Matthew Bold , Marc Goerigk

An optimization problem considering AC power flow constraints and integer decision variables can usually be posed as a mixed-integer quadratically constrained quadratic program (MIQCQP) problem. In this paper, first, a set of valid linear…

Optimization and Control · Mathematics 2015-09-18 Qifeng Li

Many problems of interest for cyber-physical network systems can be formulated as Mixed-Integer Linear Programs in which the constraints are distributed among the agents. In this paper we propose a distributed algorithmic framework to solve…

Optimization and Control · Mathematics 2019-06-05 Andrea Testa , Alessandro Rucco , Giuseppe Notarstefano

This paper presents a comprehensive theoretical analysis of six distinct Mixed-Integer Programming (MIP) formulations for preventive Generator Maintenance Scheduling (GMS), a critical problem for ensuring the reliability and efficiency of…

Optimization and Control · Mathematics 2025-02-14 Tiago Andrade

Modeling scheduling problems with conditional time intervals and cumulative functions has become a common approach when using modern commercial constraint programming solvers. This paradigm enables the modeling of a wide range of scheduling…

Artificial Intelligence · Computer Science 2025-12-09 Pierre Schaus , Charles Thomas , Roger Kameugne

Mixed integer convex and nonlinear programs, MICP and MINLP, are expressive but require long solving times. Recent work that combines learning methods on solver heuristics has shown potential to overcome this issue allowing for applications…

Robotics · Computer Science 2021-10-05 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

We consider integer programming problems with bounded general-integer variables belonging to the general class of network flow problems. For those, we computationally investigate the effect on mixed-integer linear programming (MIP) solvers…

Optimization and Control · Mathematics 2026-04-09 Pierre Bonami , Sanjeeb Dash , Anton Derkach , Andrea Lodi

Mixed-integer programming (MIP) technology offers a generic way of formulating and solving combinatorial optimization problems. While generally reliable, state-of-the-art MIP solvers base many crucial decisions on hand-crafted heuristics,…

Machine Learning · Computer Science 2022-05-31 Elias B. Khalil , Christopher Morris , Andrea Lodi

We study two-stage stochastic optimization models with mixed-integer decision variables appearing in both stages. For these models, dual decomposition enables parallel computing implementation and can quickly provide a lower bound for the…

Optimization and Control · Mathematics 2026-05-15 Pengyu Zhang , Ruiwei Jiang

Electric utility companies perform numerous technical interventions every day. Since it is generally not possible to complete all planned interventions within a single day, companies face two objectives: maximizing the total duration of…

Optimization and Control · Mathematics 2026-04-08 Elise Bangerter , David Schindl , Meritxell Pacheco Paneque , Nour Elhouda Tellache , Rodolphe Griset

Mixed integer predictive control deals with optimizing integer and real control variables over a receding horizon. The mixed integer nature of controls might be a cause of intractability for instances of larger dimensions. To tackle this…

Optimization and Control · Mathematics 2010-03-16 Dario Bauso

The most important ingredient for solving mixed-integer nonlinear programs (MINLPs) to global epsilon-optimality with spatial branch and bound is a tight, computationally tractable relaxation. Due to both theoretical and practical…

Optimization and Control · Mathematics 2019-12-03 Benjamin Müller , Gonzalo Muñoz , Maxime Gasse , Ambros Gleixner , Andrea Lodi , Felipe Serrano

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

Optimization and Control · Mathematics 2024-12-06 Antonio M. Sudoso

Model compression techniques are recently gaining explosive attention for obtaining efficient AI models for various real-time applications. Channel pruning is one important compression strategy and is widely used in slimming various DNNs.…

Computer Vision and Pattern Recognition · Computer Science 2021-09-09 Yi Guo , Huan Yuan , Jianchao Tan , Zhangyang Wang , Sen Yang , Ji Liu

Existing image restoration methods mostly leverage the posterior distribution of natural images. However, they often assume known degradation and also require supervised training, which restricts their adaptation to complex real…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Ben Fei , Zhaoyang Lyu , Liang Pan , Junzhe Zhang , Weidong Yang , Tianyue Luo , Bo Zhang , Bo Dai