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  • Article
  • Open Access
27 Citations
4,067 Views
22 Pages

A Mixed-Integer Nonlinear Programming Model for Optimal Reconfiguration of DC Distribution Feeders

  • O. D. Montoya,
  • W. Gil-González,
  • J. C. Hernández,
  • D. A. Giral-Ramírez and
  • A. Medina-Quesada

27 August 2020

This paper deals with the optimal reconfiguration problem of DC distribution networks by proposing a new mixed-integer nonlinear programming (MINLP) formulation. This MINLP model focuses on minimising the power losses in the distribution lines by ref...

(This article belongs to the Special Issue Distribution Grids Modernization)
  • Article
  • Open Access
3,265 Views
11 Pages

9 September 2021

Based on actual lubricating oil production data and the base oil performance indexes of an enterprise, two nonlinear blending schemes corresponding to viscosity and freezing point and four linear blending schemes corresponding to acid value, flash po...

(This article belongs to the Special Issue Sustainable Manufacturing Systems Using Big Data)
  • Article
  • Open Access
39 Citations
6,492 Views
22 Pages

20 September 2018

Reclaimed water (RW) is a reliable alternative water supply for irrigation in the agricultural sector, which is the predominant consumer of water in Iraq. A mixed-integer nonlinear programming reclaimed water allocation optimization model was develop...

(This article belongs to the Special Issue Hydroeconomic Analysis for Sustainable Water Management)
  • Article
  • Open Access
18 Citations
5,402 Views
26 Pages

5 July 2019

At present, most urban rail transit systems adopt an operation mode with a single long routing. The departure frequency is determined by the maximum section passenger flow. However, when the passenger flow varies greatly within different sections, th...

(This article belongs to the Collection Sustainable Rail and Metro Systems)
  • Article
  • Open Access
797 Views
20 Pages

23 January 2026

Computer-aided modeling and mathematical optimization of energy systems are essential for improving operational efficiency and achieving emission reductions, particularly for steam turbine systems with part-load-dependent efficiency characteristics....

(This article belongs to the Special Issue Selected Papers from the SDEWES 2025 Conference on Sustainable Development of Energy, Water, and Environment Systems)
  • Article
  • Open Access
17 Citations
5,559 Views
11 Pages

Parameter Estimation for Interrupted Sampling Repeater Jamming Based on ADMM

  • Chaoyu Wang,
  • Wanwan Hu,
  • Zhe Geng,
  • Jindong Zhang and
  • Daiyin Zhu

10 December 2021

By repeatedly sampling, storing, and retransmitting parts of the radar signal, interrupted sampling repeater jamming (ISRJ) based on digital radio frequency memory (DRFM) can produce a train of secondary false targets symmetrical to the main false ta...

(This article belongs to the Section Radar Sensors)
  • Article
  • Open Access
9 Citations
3,086 Views
13 Pages

4 April 2020

The coreless microgenerators implemented in electromagnetic vibration energy harvesting devices usually suffer from power deficiency. This can be noticeably improved by optimizing the distribution of separate turns within the armature winding. The pu...

(This article belongs to the Special Issue Applied Optimization in Clean and Renewable Energy: New Trends)
  • Article
  • Open Access
32 Citations
6,331 Views
18 Pages

In recent years, low energy consumption has become the common choice of economic development in the world. In order to control energy consumption, shipping line speed optimization has become strategically important. to reduce fuel consumption, this s...

(This article belongs to the Special Issue Sustainable Transport Planning and Decision-making)
  • Article
  • Open Access
1 Citations
2,516 Views
16 Pages

Optimal Configuration of Gas Solid Separation Equipment Using Mixed Integer Nonlinear Programming

  • Muhamad Fariz Failaka,
  • Chandra Mouli R. Madhuranthakam,
  • Kaan Yetilmezsoy,
  • Ali Almansoori and
  • Ali Elkamel

3 November 2022

The separation of solid particles from gas-solid process streams is an important unit operation in many chemical processes. Out of the many different types of separation equipment that are used for gas-solid separation, cyclone separators are widely...

(This article belongs to the Section Air Pollution Control)
  • Feature Paper
  • Article
  • Open Access
5 Citations
5,521 Views
25 Pages

15 May 2019

Genome-scale models have become indispensable tools for the study of cellular growth. These models have been progressively improving over the past two decades, enabling accurate predictions of metabolic fluxes and key phenotypes under a variety of gr...

(This article belongs to the Special Issue Sustainable Biorefinery Processes)
  • Article
  • Open Access
11 Citations
2,909 Views
12 Pages

10 September 2022

The efficiency of track utilization is one of the important factors for train operation in marshalling stations, and it can not only affect the turnover efficiency of trains, but also determine the capacity of railway stations. This paper presents an...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
39 Citations
7,208 Views
14 Pages

Optimal Route Planning for Truck–Drone Delivery Using Variable Neighborhood Tabu Search Algorithm

  • Bao Tong,
  • Jianwei Wang,
  • Xue Wang,
  • Feihao Zhou,
  • Xinhua Mao and
  • Wenlong Zheng

5 January 2022

The optimal delivery route problem for truck–drone delivery is defined as a traveling salesman problem with drone (TSP-D), which has been studied in a wide range of previous literature. However, most of the existing studies ignore truck waiting...

(This article belongs to the Special Issue Advances in Capacitated Vehicle Routing Problem—Models, Methods, Applications and New Challenges)
  • Article
  • Open Access
2 Citations
3,161 Views
16 Pages

30 May 2024

Supplier selection is a multi-attribute decision-making (MADM) problem that is affected by often-conflicting factors (e.g., price, quality, and delivery performance). If a supplier selection problem (SSP) is solved by different MADM methods, differen...

(This article belongs to the Special Issue Multi-criteria Decision Making in Supply Chain Management)
  • Proceeding Paper
  • Open Access
2 Citations
2,727 Views
8 Pages

Water leakages represent a crucial aspect in the management of water distribution networks (WDNs). The pressure control, by means of pressure reducing valves, is an economical and viable strategy to contain water leakages and it has been deeply inves...

(This article belongs to the Proceedings of EWaS5 International Conference: “Water Security and Safety Management: Emerging Threats or New Challenges? Moving from Therapy and Restoration to Prognosis and Prevention”)
  • Article
  • Open Access
4 Citations
2,265 Views
25 Pages

This article presents two novel mixed-integer nonlinear programming (MINLP) formulations in the complex variable domain to address the optimal phase-balancing problem in asymmetric three-phase distribution networks. The first employs a matrix-based l...

(This article belongs to the Special Issue Advances in Operation, Optimization, and Control of Smart Grids)
  • Article
  • Open Access
25 Citations
9,499 Views
46 Pages

8 November 2023

Phasor Measurement Units (PMUs) are the backbone of smart grids that are able to measure power system observability in real-time. The deployment of synchronized sensors in power networks opens up the advantage of real-time monitoring of the network s...

(This article belongs to the Special Issue Applied Optimization for Solving Real-World Problems)
  • Article
  • Open Access
1 Citations
1,698 Views
30 Pages

15 August 2025

Electric vehicle (EV) charging stations play a pivotal role in the widespread adoption and integration of electric vehicles into mainstream transportation systems. While the effects of climate change and greenhouse gases are increasing worldwide, the...

  • Article
  • Open Access
1 Citations
295 Views
32 Pages

25 June 2026

Part II of this study builds upon the mathematical framework developed and validated in Part I for describing the geometry and volumetric performance indicators of an innovative three-rotor hydraulic pump with bilateral lantern meshing. This part foc...

(This article belongs to the Special Issue Components of Hydrostatic Drive Systems)
  • Article
  • Open Access
347 Views
32 Pages

5 August 2026

This paper aims to present efficient alternative mixed-integer non-linear programming models and a customized hybrid metaheuristic, the Genetic-Based Algorithm (GBA), for a resource-constrained project-scheduling problem with a flexible network struc...

  • Article
  • Open Access
19 Citations
4,062 Views
14 Pages

The problem of the optimal siting and sizing of fixed-step capacitor banks is studied in this research from the standpoint of convex optimization. This problem is formulated through a mixed-integer nonlinear programming (MINLP) model, in which its bi...

(This article belongs to the Special Issue Recent Advances in Process Modeling and Optimisation)
  • Article
  • Open Access
9 Citations
2,193 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)
  • Feature Paper
  • Article
  • Open Access
11 Citations
5,114 Views
12 Pages

2 January 2020

Anti-solvent crystallization is frequently applied in pharmaceutical processes for the separation and purification of intermediate compounds and active ingredients. The selection of optimal solvent types is important to improve the economic performan...

(This article belongs to the Special Issue Process Optimization and Control)
  • Article
  • Open Access
703 Views
21 Pages

Day-Ahead Coordinated Reactive Power Optimization Dispatching Based on Semidefinite Programming

  • Binbin Xu,
  • Mengqi Liu,
  • Yilin Zhong,
  • Peijie Cong,
  • Bo Zhu,
  • Tao Liu,
  • Yujun Li and
  • Zhengchun Du

17 October 2025

With access to new energy sources, the problem of reactive power optimization and dispatching has become increasingly important for research. However, the reactive power optimization problem is a mixed integer nonlinear optimization problem. In order...

  • Article
  • Open Access
4 Citations
4,643 Views
27 Pages

Cleaning Schedule Optimization of Heat Exchangers with Fouling on Tube and Shell Sides: A Metaheuristic Approach

  • João P. V. de Cesaro,
  • Mauro A. S. S. Ravagnani,
  • Fernando D. Mele and
  • Caliane B. B. Costa

28 December 2024

Pre-heat trains (PHTs) significantly reduce refinery fuel consumption and carbon emissions. However, these benefits are diminished by fouling in heat exchangers (HEXs). Current methods for optimizing cleaning schedules often report high computation t...

(This article belongs to the Special Issue Heat Transfer in Heat Exchangers)
  • Article
  • Open Access
5 Citations
1,803 Views
19 Pages

Optimizing Mine Ventilation Systems: An Advanced Mixed-Integer Linear Programming Model

  • Deyun Zhong,
  • Lixue Wen,
  • Yulong Liu,
  • Zhaohao Wu and
  • Liguan Wang

9 September 2025

In the underground mine ventilation area, the absence of robust solutions for nonlinear programming models has impeded progress for decades. To overcome the enduring difficulty of solving nonlinear optimization models for mine ventilation optimizatio...

(This article belongs to the Special Issue Mathematical Modeling and Analysis in Mining Engineering)
  • Article
  • Open Access
8 Citations
5,117 Views
16 Pages

A Mixed Integer Linear Programming Method for Optimizing Layout of Irrigated Pumping Well in Oasis

  • Teng Ma,
  • Jinwen Wang,
  • Yi Liu,
  • Huaiwei Sun,
  • Dongwei Gui and
  • Jie Xue

6 June 2019

Optimization of irrigation well layout plays a vital role in the rational utilization of groundwater and to balance the water–energy nexus, especially in arid irrigation districts. This study proposes the mixed integer linear programming model...

(This article belongs to the Section Hydrology)
  • Article
  • Open Access
2 Citations
2,841 Views
18 Pages

Ferry shipping is an indispensable method of public transportation, especially in areas with well-developed river systems or coastal areas. The increasing demand for transport requires additional visits and introduces the problem of ship visit schedu...

(This article belongs to the Special Issue Port Management and Maritime Logistics)
  • Article
  • Open Access
9 Citations
3,108 Views
17 Pages

7 February 2023

The systematic design of exact optimal designs of experiments is typically challenging, as it results in nonconvex optimization problems. The literature on the computation of model-based exact optimal designs of experiments via mathematical programmi...

  • Article
  • Open Access
16 Citations
4,102 Views
24 Pages

12 July 2019

The quick growth of energy consumption in urban rail transit has drawn much attention due to the pressure of both operational cost and environmental responsibilities. In this paper, the timetable is optimized with respect to the system cost of urban...

  • Article
  • Open Access
4 Citations
5,045 Views
14 Pages

A Convex Optimization Algorithm for Electricity Pricing of Charging Stations

  • Jing Zhang,
  • Xiangpeng Zhan,
  • Taoyong Li,
  • Linru Jiang,
  • Jun Yang,
  • Yuanxing Zhang,
  • Xiaohong Diao and
  • Sining Han

1 October 2019

The problem of electricity pricing for charging stations is a multi-objective mixed integer nonlinear programming. Existing algorithms have low efficiency in solving this problem. In this paper, a convex optimization algorithm is proposed to get the...

(This article belongs to the Special Issue Recent Advances in Nonsmooth Optimization and Analysis)
  • Article
  • Open Access
9 Citations
2,596 Views
17 Pages

22 September 2023

The double arc pitch curve is a novel way for creating a non-circular gear tooth profile. Aiming at the problems of the rounding of non-integer teeth and the nonlinear equation system in the construction of double circular arc tooth profile, an activ...

(This article belongs to the Section Mechanical Engineering)
  • Article
  • Open Access
12 Citations
4,570 Views
16 Pages

Multistage Expansion Co-Planning of Integrated Natural Gas and Electricity Distribution Systems

  • Mohammad Jooshaki,
  • Ali Abbaspour,
  • Mahmud Fotuhi-Firuzabad,
  • Moein Moeini-Aghtaie and
  • Matti Lehtonen

15 March 2019

This paper focuses on expansion co-planning studies of natural gas and electricity distribution systems. The aim is to develop a mixed-integer linear programming (MILP) model for such problems to guarantee the finite convergence to optimality. To thi...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
68 Citations
6,482 Views
26 Pages

22 April 2022

Distributed generation (DG) aims to generate part of the required electrical energy on a small scale closer to the places of consumption. Integration of DG into an existing electric distribution network (EDN) has technical, economic, and environmenta...

  • Article
  • Open Access
12 Citations
3,243 Views
19 Pages

An MI-SDP Model for Optimal Location and Sizing of Distributed Generators in DC Grids That Guarantees the Global Optimum

  • Walter Gil-González,
  • Alexander Molina-Cabrera,
  • Oscar Danilo Montoya and
  • Luis Fernando Grisales-Noreña

30 October 2020

This paper deals with a classical problem in power system analysis regarding the optimal location and sizing of distributed generators (DGs) in direct current (DC) distribution networks using the mathematical optimization. This optimization problem i...

(This article belongs to the Special Issue Resilient and Sustainable Distributed Energy Systems)
  • Article
  • Open Access
16 Citations
4,515 Views
17 Pages

18 March 2019

This paper proposes a coordinated active–reactive power optimization model for an active distribution network with energy storage systems, where the active and reactive resources are handled simultaneously. The model aims to minimize the power...

(This article belongs to the Special Issue Planning, Operation, and Control of Power Systems with Large-Scale Renewable Energy)
  • Article
  • Open Access
3 Citations
3,973 Views
20 Pages

Solution of Mixed-Integer Optimization Problems in Bioinformatics with Differential Evolution Method

  • Sergey Salihov,
  • Dmitriy Maltsov,
  • Maria Samsonova and
  • Konstantin Kozlov

20 December 2021

The solution of the so-called mixed-integer optimization problem is an important challenge for modern life sciences. A wide range of methods has been developed for its solution, including metaheuristics approaches. Here, a modification is proposed of...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
3 Citations
2,181 Views
13 Pages

31 December 2023

It is a critical issue to allocate redundancy to critical smart grid infrastructure for disaster recovery planning. In this study, a framework to combine statistical prediction methods and optimization models for the optimal redundancy allocation pro...

(This article belongs to the Special Issue Smart Energy Systems: Learning Methods for Control and Optimization)
  • Article
  • Open Access
11 Citations
2,014 Views
17 Pages

27 July 2022

This paper proposes a new solution methodology based on a mixed-integer conic formulation to locate and size photovoltaic (PV) generation units in AC distribution networks with a radial structure. The objective function comprises the annual expected...

(This article belongs to the Special Issue Optimization Theory and Applications)
  • Article
  • Open Access
45 Citations
4,619 Views
14 Pages

Optimal Location and Sizing of PV Sources in DC Networks for Minimizing Greenhouse Emissions in Diesel Generators

  • Oscar Danilo Montoya,
  • Luis Fernando Grisales-Noreña,
  • Walter Gil-González,
  • Gerardo Alcalá and
  • Quetzalcoatl Hernandez-Escobedo

24 February 2020

This paper addresses the problem of the optimal location and sizing of photovoltaic (PV) sources in direct current (DC) electrical networks considering time-varying load and renewable generation curves. To represent this problem, a mixed-integer nonl...

(This article belongs to the Special Issue Symmetry in Renewable Energy and Power Systems)
  • Article
  • Open Access
14 Citations
3,560 Views
11 Pages

A Mixed-Integer Quadratic Formulation of the Phase-Balancing Problem in Residential Microgrids

  • Alejandro Garces,
  • Walter Gil-González,
  • Oscar Danilo Montoya,
  • Harold R. Chamorro and
  • Lazaro Alvarado-Barrios

24 February 2021

Phase balancing is a classical optimization problem in power distribution grids that involve phase swapping of the loads and generators to reduce power loss. The problem is a non-linear integer and, hence, it is usually solved using heuristic algorit...

(This article belongs to the Special Issue Smart Energy Systems and Technologies)
  • Article
  • Open Access
3 Citations
3,106 Views
18 Pages

20 April 2019

In recent years, distributed energy storage (DES) has experienced rapid growth and has been widely applied in active distribution networks (ADNs). Owing to the close correlation between the characteristics and the application scenarios, DES modeling...

(This article belongs to the Special Issue Smart Home and Energy Management Systems 2019)
  • Article
  • Open Access
6 Citations
4,041 Views
17 Pages

25 June 2022

As decentralized energy supply units, microgrids can make a decisive contribution to achieving climate targets. In this context, it is particularly important to determine the optimal size of the energy components contained in the microgrids and their...

(This article belongs to the Special Issue Optimization Theory and Applications)
  • Article
  • Open Access
36 Citations
4,849 Views
17 Pages

Electric Vehicle Tour Planning Considering Range Anxiety

  • Rui Chen,
  • Xinglu Liu,
  • Lixin Miao and
  • Peng Yang

In this study, the tour planning problem for electric vehicles is investigated. We aim to derive the optimal route and thus, to maximize profitability and minimize range anxiety within the time horizon. To solve this problem, a bi-objective mixed int...

(This article belongs to the Section Sustainable Transportation)
  • Feature Paper
  • Article
  • Open Access
350 Citations
35,443 Views
26 Pages

GEKKO Optimization Suite

  • Logan D. R. Beal,
  • Daniel C. Hill,
  • R. Abraham Martin and
  • John D. Hedengren

31 July 2018

This paper introduces GEKKO as an optimization suite for Python. GEKKO specializes in dynamic optimization problems for mixed-integer, nonlinear, and differential algebraic equations (DAE) problems. By blending the approaches of typical algebraic mod...

(This article belongs to the Special Issue Process Modelling and Simulation)
  • Article
  • Open Access
30 Citations
4,409 Views
18 Pages

A Hybrid Approach Based on SOCP and the Discrete Version of the SCA for Optimal Placement and Sizing DGs in AC Distribution Networks

  • Oscar Danilo Montoya,
  • Alexander Molina-Cabrera,
  • Harold R. Chamorro,
  • Lazaro Alvarado-Barrios and
  • Edwin Rivas-Trujillo

This paper deals with the problem of the optimal placement and sizing of distributed generators (DGs) in alternating current (AC) distribution networks by proposing a hybrid master–slave optimization procedure. In the master stage, the discrete...

(This article belongs to the Special Issue Grid-Connected Renewable Energy Sources)
  • Article
  • Open Access
3 Citations
1,079 Views
31 Pages

Joint Feeder Routing and Conductor Sizing in Rural Unbalanced Three-Phase Distribution Networks: An Exact Optimization Approach

  • Brandon Cortés-Caicedo,
  • Oscar Danilo Montoya,
  • Luis Fernando Grisales-Noreña,
  • Santiago Bustamante-Mesa and
  • Carlos Andrés Torres-Pinzón

7 November 2025

This paper addresses the simultaneous feeder routing and conductor sizing problem in unbalanced three-phase distribution systems, formulated as a nonconvex mixed-integer nonlinear program (MINLP) that minimizes the equivalent annualized expansion cos...

(This article belongs to the Section Computer Science, Mathematics and AI)
  • Article
  • Open Access
21 Citations
3,335 Views
15 Pages

Genetic-Convex Model for Dynamic Reactive Power Compensation in Distribution Networks Using D-STATCOMs

  • Oscar Danilo Montoya,
  • Harold R. Chamorro,
  • Lazaro Alvarado-Barrios,
  • Walter Gil-González and
  • César Orozco-Henao

8 April 2021

This paper proposes a new hybrid master–slave optimization approach to address the problem of the optimal placement and sizing of distribution static compensators (D-STATCOMs) in electrical distribution grids. The optimal location of the D-STATCOMs i...

(This article belongs to the Special Issue Smart Energy Systems and Technologies)
  • Article
  • Open Access
7 Citations
6,125 Views
12 Pages

Portfolio optimization is an activity for balancing return and risk. In this paper, we used mean-variance (M-V) portfolio models with buy-in threshold and cardinality constraints. This model can be formulated as a mixed integer nonlinear programming...

  • Article
  • Open Access
16 Citations
3,622 Views
15 Pages

A Mixed-Integer Conic Formulation for Optimal Placement and Dimensioning of DGs in DC Distribution Networks

  • Federico Molina-Martin,
  • Oscar Danilo Montoya,
  • Luis Fernando Grisales-Noreña and
  • Jesus C. Hernández

The problem of the optimal placement and dimensioning of constant power sources (i.e., distributed generators) in electrical direct current (DC) distribution networks has been addressed in this research from the point of view of convex optimization....

(This article belongs to the Section Power Electronics)
  • Article
  • Open Access
4 Citations
2,945 Views
18 Pages

This article deals with the solution of a mixed-integer nonlinear programming (MINLP) problem related to the efficient reallocation of battery energy storage systems (BESS) in monopolar direct current (DC) grids through a master–slave optimizat...

(This article belongs to the Collection Advances in Battery Energy Storage and Applications)

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