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33 Results Found

  • Article
  • Open Access
1 Citations
490 Views
30 Pages

17 August 2026

This research proposes a method for finding bounds in binary integer programming (BIP) and quadratic binary integer programming (QBIP). Our approach utilizes a max-flow technique within the framework of quadratic pseudo-Boolean optimization. We apply...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
12 Citations
4,204 Views
20 Pages

7 December 2019

The rapid proliferation of the ‘Internet of Things’ (IoT) now affords the opportunity to schedule the operation of widely distributed domestic refrigerator and freezers to collectively improve energy efficiency and reduce peak power consu...

(This article belongs to the Section A1: Smart Grids and Microgrids)
  • Article
  • Open Access
10 Citations
3,955 Views
22 Pages

28 October 2021

In this study, we deal with the problem of scheduling charging periods of electrical vehicles (EVs) to satisfy the users’ demands for energy consumption as well as to optimally utilize the available power. We assume three-phase EV charging stations,...

(This article belongs to the Special Issue Advances in Intelligent Vehicle Control)
  • Article
  • Open Access
5,100 Views
10 Pages

4 September 2013

Large-scale binary integer programs occur frequently in many real-world applications. For some binary integer problems, finding an optimal solution or even a feasible solution is computationally expensive. In this paper, we develop a discrete meta-co...

(This article belongs to the Special Issue Dynamical Systems)
  • Article
  • Open Access
20 Citations
7,351 Views
22 Pages

Converting of Boolean Expression to Linear Equations, Inequalities and QUBO Penalties for Cryptanalysis

  • Aleksey I. Pakhomchik,
  • Vladimir V. Voloshinov,
  • Valerii M. Vinokur and
  • Gordey B. Lesovik

21 January 2022

There exists a wide range of constraint programming (CP) problems defined on Boolean functions depending on binary variables. One of the approaches to solving CP problems is using specific appropriate solvers, e.g., SAT solvers. An alternative is usi...

(This article belongs to the Section Analysis of Algorithms and Complexity Theory)
  • Article
  • Open Access
1 Citations
2,190 Views
23 Pages

Plane Section Curves on Surfaces of NCP Functions

  • Shun-Wei Li,
  • Yu-Lin Chang and
  • Jein-Shan Chen

14 October 2022

The goal of this paper is to investigate the curves intersected by a vertical plane with the surfaces based on certain NCP functions. The convexity and differentiability of these curves are studied as well. In most cases, the inflection points of the...

(This article belongs to the Special Issue Special Issue in Honor of the 60th Birthday of Professor Hong-Kun Xu)
  • Article
  • Open Access
8 Citations
4,062 Views
11 Pages

Operation Scheduling Optimization for Microgrids Considering Coordination of Their Components

  • Hirotaka Takano,
  • Ryota Goto,
  • Thin Zar Soe,
  • Nguyen Duc Tuyen and
  • Hiroshi Asano

24 October 2019

Operation scheduling is one of the most practical optimization problems to efficiently manage the electric power supply and demand in microgrids. Although various microgrid-related techniques have been developed, there has been no established solutio...

(This article belongs to the Special Issue Global Trends and Advances Towards a Smarter Grid and Smart Cities)
  • Article
  • Open Access
1 Citations
1,770 Views
47 Pages

8 February 2026

This paper addresses the Pickup and Delivery Problem with Time Windows (PDPTW), an NP-hard combinatorial optimization problem with major practical relevance in logistics and transportation. The study focuses on a quadratic unconstrained binary optimi...

(This article belongs to the Special Issue Future Horizons in Multi-Agent Systems: Pioneering Trends and Breakthrough Innovations)
  • Article
  • Open Access
14 Citations
2,919 Views
18 Pages

18 June 2020

Existing methods for forecasting the productivity of a factory are subject to a major drawback—the lower and upper bounds of productivity are usually determined by a few extreme cases, which unacceptably widens the productivity range. To addres...

(This article belongs to the Special Issue Applications of Fuzzy Optimization and Fuzzy Decision Making)
  • Article
  • Open Access
20 Citations
7,382 Views
24 Pages

17 April 2019

Quantum annealers such as D-Wave machines are designed to propose solutions for quadratic unconstrained binary optimization (QUBO) problems by mapping them onto the quantum processing unit, which tries to find a solution by measuring the parameters o...

  • Article
  • Open Access
6 Citations
2,868 Views
18 Pages

28 July 2021

In this paper, we propose a novel binary classification method called the kernel-free quadratic surface minimax probability machine (QSMPM), that makes use of the kernel-free techniques of the quadratic surface support vector machine (QSSVM) and inhe...

  • Article
  • Open Access
4 Citations
3,300 Views
16 Pages

The Machine-Part Cell Formation Problem with Non-Binary Values: A MILP Model and a Case of Study in the Accounting Profession

  • Jose Joaquin del Pozo-Antúnez,
  • Francisco Fernández-Navarro,
  • Horacio Molina-Sánchez,
  • Antonio Ariza-Montes and
  • Mariano Carbonero-Ruz

27 July 2021

The traditional machine-part cell formation problem simultaneously clusters machines and parts in different production cells from a zero–one incidence matrix that describes the existing interactions between the elements. This manuscript explores a no...

(This article belongs to the Special Issue Application of Mathematical Methods to Economics, Management, Finance and Social Problems)
  • Article
  • Open Access
298 Views
18 Pages

9 June 2026

A second-order cone programming support vector machine (SOCP-SVM) method is proposed to realize the binary classification faster and better. This method combines the advantages of better classification performance of nonparallel hyperplane second-ord...

  • Article
  • Open Access
9 Citations
2,205 Views
15 Pages

On the Optimal Selection and Integration of Batteries in DC Grids through a Mixed-Integer Quadratic Convex Formulation

  • Federico Martin Serra,
  • Oscar Danilo Montoya,
  • Lázaro Alvarado-Barrios,
  • Cesar Álvarez-Arroyo and
  • Harold R. Chamorro

24 September 2021

This paper deals with the problem of the optimal selection and location of batteries in DC distribution grids by proposing a new mixed-integer convex model. The exact mixed-integer nonlinear model is transformed into a mixed-integer quadratic convex...

(This article belongs to the Section Power Electronics)
  • Article
  • Open Access
6 Citations
2,668 Views
18 Pages

Binary masking forms the basis for a number of source separation approaches that have been successfully applied to the problem of de-mixing music sources from a stereo recording. A well-known problem with binary masking is that, when music sources ov...

(This article belongs to the Section Circuit and Signal Processing)
  • Article
  • Open Access
7 Citations
2,785 Views
18 Pages

This paper contributes with a new two-stage optimization methodology to solve the problem of the optimal placement and sizing of solar photovoltaic (PV) generation units in medium-voltage distribution networks. The optimization problem is formulated...

(This article belongs to the Special Issue Power System Simulation with Renewable Power: Protection, Optimization and Control)
  • Feature Paper
  • Article
  • Open Access
1,224 Views
20 Pages

Graph Burning: An Overview of Compact Mathematical Programs

  • Lourdes Beatriz Cajica-Maceda,
  • Freddy Alejandro Chaurra-Gutiérrez,
  • Julio César Pérez-Sansalvador and
  • Jesús García-Díaz

17 March 2026

The Graph Burning Problem (GBP) is a combinatorial optimization problem that has gained relevance as a tool for quantifying a graph’s vulnerability to contagion. Although it is based on a very simple propagation model, its decision version is N...

(This article belongs to the Special Issue Graph Theory and Network Theory)
  • Article
  • Open Access
23 Citations
4,637 Views
13 Pages

8 November 2021

Battery energy storage systems (BESSs) are key components in efficiently managing the electric power supply and demand in microgrids. However, the BESSs have issues in their investment costs and operating lifetime, and thus, the optimal sizing of the...

(This article belongs to the Section A1: Smart Grids and Microgrids)
  • Article
  • Open Access
5 Citations
6,135 Views
19 Pages

Diversifying Investments and Maximizing Sharpe Ratio: A Novel Quadratic Unconstrained Binary Optimization Formulation

  • Mirko Mattesi,
  • Luca Asproni,
  • Christian Mattia,
  • Simone Tufano and ,
  • Giacomo Ranieri,
  • Davide Caputo and
  • Davide Corbelletto
  • + 2 authors+ 0 author

27 May 2024

The optimization of investment portfolios represents a pivotal task within the field of financial economics. Its objective is to identify asset combinations that meet specified criteria for return and risk. Traditionally, the maximization of the Shar...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,249 Views
19 Pages

1 December 2025

The design of multi-link vehicle suspension systems, such as the 3D double-wishbone, presents a critical challenge in automotive engineering. The process constitutes a high-dimensional, nonlinearly constrained optimization problem where traditional g...

(This article belongs to the Special Issue Numerical Analysis and Scientific Computing for Applied Mathematics)
  • Article
  • Open Access
4 Citations
5,037 Views
19 Pages

11 May 2022

The active jet noise control received significant attention due to the little influence it has on the engine performance. The active jet noise control is a multivariable problem because it needs to achieve the simultaneous closed-loop control of jet...

(This article belongs to the Section Aerospace Science and Engineering)
  • Article
  • Open Access
18 Citations
4,229 Views
16 Pages

Multiplex Detection of Magnetic Beads Using Offset Field Dependent Frequency Mixing Magnetic Detection

  • Ali Mohammad Pourshahidi,
  • Stefan Achtsnicht,
  • Mrinal Murali Nambipareechee,
  • Andreas Offenhäusser and
  • Hans-Joachim Krause

31 August 2021

Magnetic immunoassays employing Frequency Mixing Magnetic Detection (FMMD) have recently become increasingly popular for quantitative detection of various analytes. Simultaneous analysis of a sample for two or more targets is desirable in order to re...

(This article belongs to the Special Issue Advanced Nanomaterial-Based Sensors for Biomedical Applications)
  • Article
  • Open Access
8 Citations
1,885 Views
18 Pages

30 September 2022

The problem concerning the optimal placement and sizing of renewable energy resources and battery energy storage systems in electrical DC distribution networks is addressed in this research by proposing a new mathematical formulation. The exact mixed...

(This article belongs to the Section Power Electronics)
  • Article
  • Open Access
3 Citations
2,111 Views
14 Pages

8 May 2024

Positive and unlabeled learning (PU learning) is a significant binary classification task in machine learning; it focuses on training accurate classifiers using positive data and unlabeled data. Most of the works in this area are based on a two-step...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
395 Views
34 Pages

3 September 2026

Renewable-energy fluctuations and the conflicting economic objectives of independent stakeholders pose simultaneous physical and market challenges to the operation of flexible integrated energy systems (FIESs). To address these issues, this paper dev...

  • Article
  • Open Access
18 Citations
10,742 Views
36 Pages

Explainable Artificial Intelligence Using Expressive Boolean Formulas

  • Gili Rosenberg,
  • John Kyle Brubaker,
  • Martin J. A. Schuetz,
  • Grant Salton and ,
  • Zhihuai Zhu,
  • Elton Yechao Zhu,
  • Serdar Kadıoğlu,
  • Sima E. Borujeni and
  • Helmut G. Katzgraber
  • + 4 authors+ 0 author

24 November 2023

We propose and implement an interpretable machine learning classification model for Explainable AI (XAI) based on expressive Boolean formulas. Potential applications include credit scoring and diagnosis of medical conditions. The Boolean formula defi...

(This article belongs to the Special Issue Advances in Explainable Artificial Intelligence (XAI): 2nd Edition)
  • Article
  • Open Access
912 Views
101 Pages

8 September 2026

In this paper, we present an algorithmic modeling approach based on Disjunctive Programming using Boolean logic “OR” to solve the Optimal Phasor Measurement Unit Placement (OPP). We propose a framework for modeling the optimal PMU placeme...

  • Article
  • Open Access
457 Views
31 Pages

Quantum Single-Path Transmission Optimization of Complex Networks

  • Zhengyi Wang,
  • Feng Gao,
  • Yunqing Xu,
  • Xiaohui Wang and
  • Jingyang Fang

10 August 2026

Single-path transmission optimization is a core task for resource scheduling and operation of complex networks, which requires coordinated optimization of transmission cost and flow. Classical algorithms bear heavy computational loads in high-dimensi...

(This article belongs to the Special Issue Graph Theory and Its Applications in Quantum Mechanics)
  • Article
  • Open Access
883 Views
16 Pages

25 May 2026

The modern power system is characterized by large-scale networks, diverse types of sources and loads, and complex grid structures. Virtual Power Plants (VPPs) are proposed to address the operation problem after the integration of Distributed Energy R...

(This article belongs to the Section Quantum Information)
  • Feature Paper
  • Article
  • Open Access
5 Citations
3,969 Views
16 Pages

Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks

  • Oumayma Bouchmal,
  • Bruno Cimoli,
  • Ripalta Stabile,
  • Juan Jose Vegas Olmos and ,
  • Carlos Hernandez,
  • Ricardo Martinez,
  • Ramon Casellas and
  • Idelfonso Tafur Monroy
  • + 3 authors+ 0 author

30 October 2024

Flexi-grid technology has revolutionized optical networking by enabling Elastic Optical Networks (EONs) that offer greater flexibility and dynamism compared to traditional fixed-grid systems. As data traffic continues to grow exponentially, the need...

(This article belongs to the Special Issue Optical Communication Networks: Advancements and Future Directions)
  • Article
  • Open Access
18 Citations
3,062 Views
16 Pages

24 August 2024

Mine ventilation is crucial for ensuring safe production in mines, as it is integral to the entire underground mining process. This study addresses the issues of high energy consumption, regulation difficulties, and unreasonable regulation schemes in...

  • Article
  • Open Access
456 Views
13 Pages

Pneumoconiosis remains a major problem globally with a much higher burden in low- and middle-income countries (LMICs). There is increased inter-reader variability in the classification of pneumoconiosis in most LMICs. Despite the use of the Internati...

(This article belongs to the Special Issue Modern Epidemiology of Occupational Lung Diseases)
  • Article
  • Open Access
444 Views
44 Pages

Selecting a compact subgraph of a document graph while maximising a learned coherence function, subject to flow conservation and temporal ordering, is important in storyline detection, event threading, and Narrative Map extraction. Existing Narrative...

(This article belongs to the Topic Quantum Computing: Latest Advances and Prospects)