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This brief deals with the satisfaction of the daily cooling demand by a hybrid system that consists of a vapour-compression refrigeration cycle and a thermal energy storage (TES) unit, based on phase change materials. The addition of the…

最优化与控制 · 数学 2024-02-08 G. Bejarano , D. Rodríguez , J. M. Lemos , M. Vargas , M. G. Ortega

Mixed integer linear programming (MILP) solvers expose hundreds of parameters that have an outsized impact on performance but are difficult to configure for all but expert users. Existing machine learning (ML) approaches require training on…

机器学习 · 计算机科学 2025-09-25 Connor Lawless , Yingxi Li , Anders Wikum , Madeleine Udell , Ellen Vitercik

In this paper, we mainly study one class of convex mixed-integer nonlinear programming problems (MINLPs) with non-differentiable data. By dropping the differentiability assumption, we substitute gradients with subgradients obtained from KKT…

最优化与控制 · 数学 2015-09-22 Zhou Wei , M. Montaz Ali

This article presents the first mixed-integer linear programming (MILP)-based iterative algorithm to solve factorable mixed-integer nonlinear programs (MINLPs) with bounded, differentiable periodic functions to global optimality with an…

最优化与控制 · 数学 2025-10-01 Christopher Montez , Sujeevraja Sanjeevi , Kaarthik Sundar

Sequential quadratic programming and sequential convex programming efficiently solve nonlinear programs (NLPs) by linearizing inner nonlinearities while preserving the outer convex structure. This paper introduces a sequential mixed-integer…

最优化与控制 · 数学 2026-03-27 Andrea Ghezzi , Wim Van Roy , Sebastian Sager , Moritz Diehl

Mixed integer linear programming (MILP) has seen a sharp rise in use for engineering optimization applications in recent years. Even for initially non-linear problems, it is often the method of choice. Then, the non-linear functions have to…

最优化与控制 · 数学 2023-09-20 Felix Birkelbach , David Huber , René Hofmann

Fast and accurate large-scale energy system models are needed to investigate the potential of storage to complement the fluctuating energy production of renewable energy systems. However, standard Mixed-Integer Programming (MIP) models that…

Consumer-electronics systems are becoming increasingly complex as the number of integrated applications is growing. Some of these applications have real-time requirements, while other non-real-time applications only require good average…

分布式、并行与集群计算 · 计算机科学 2017-11-28 Anna Minaeva , Premysl Sucha , Benny Akesson , Zdenek Hanzalek

This paper presents a solver-friendly logic-based mixed-integer nonlinear programming model (LB-MINLP) to solve economic dispatch (ED) problems considering disjoint operating zones and valve-point effects. A simultaneous consideration of…

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…

最优化与控制 · 数学 2024-05-17 Negin Bagherpour , Mahdi Sharifzadeh

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…

机器人学 · 计算机科学 2021-10-05 Xuan Lin , Gabriel I. Fernandez , Dennis W. Hong

Governments across the world are planning to increase the share of renewables in their energy systems. The siting of new wind and solar power plants requires close coordination with grid planning, and hence co-optimization of investment in…

最优化与控制 · 数学 2020-09-25 Fabian Neumann , Tom Brown

This paper proposes a joint decomposition method that combines La- grangian decomposition and generalized Benders decomposition, to efficiently solve multiscenario nonconvex mixed-integer nonlinear programming (MINLP) problems to global…

最优化与控制 · 数学 2018-02-22 Emmanuel Ogbe , Xiang Li

Reducing the fuel consumption within a power network is crucial to enhance the overall system efficiency and minimize operating costs. Fuel consumption minimization can be achieved through different optimization techniques where the output…

最优化与控制 · 数学 2023-10-30 Md Isfakul Anam , Tuyen Vu

The reformulation-linearization technique (RLT) is a prominent approach to constructing tight linear relaxations of non-convex continuous and mixed-integer optimization problems. The goal of this paper is to extend the applicability and…

最优化与控制 · 数学 2024-07-22 Ksenia Bestuzheva , Ambros Gleixner , Tobias Achterberg

Motivated by a geometric problem, we introduce a new non-convex graph partitioning objective where the optimality criterion is given by the sum of the Dirichlet eigenvalues of the partition components. A relaxed formulation is identified…

最优化与控制 · 数学 2016-03-29 Braxton Osting , Chris D. White , Edouard Oudet

Due to a substantial growth in the world waterborne trade volumes and drastic changes in the global climate accounted for CO2 emissions, the shipping companies need to escalate their operational and energy efficiency. Therefore, a…

最优化与控制 · 数学 2023-07-24 Jasashwi Mandal , Adrijit Goswami , Lakshman Thakur , Manoj Kumar Tiwari

It is a crucial problem how to heat oil and save running cost for crude oil transport. This paper strictly formulates such a heated oil pipeline problem as a mixed integer nonlinear programming model. Nonconvex and convex continuous…

最优化与控制 · 数学 2019-07-26 Muming Yang , Yakui Huang , Yu-Hong Dai , Bo Li

Mixed integer nonlinear programs (MINLPs) are arguably among the hardest optimization problems, with a wide range of applications. MINLP solvers that are based on linear relaxations and spatial branching work similar as mixed integer…

最优化与控制 · 数学 2019-02-08 Jakob Witzig , Timo Berthold , Stefan Heinz

Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

最优化与控制 · 数学 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella