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3,906 Results Found

  • Article
  • Open Access
22 Citations
5,425 Views
25 Pages

The Cognitive Underpinnings of Multiply-Constrained Problem Solving

  • Derek M. Ellis,
  • Matthew K. Robison and
  • Gene A. Brewer

Individuals encounter problems daily wherein varying numbers of constraints require delimitation of memory to target goal-satisfying information. Multiply-constrained problems, such as the compound remote associates, are commonly used to study this t...

  • Article
  • Open Access
1 Citations
2,328 Views
16 Pages

11 November 2024

The degree-constrained Steiner problem in graphs is well known in the literature. In an undirected graph, positive integer degree bounds are associated with nodes and positive costs with the edges. The goal is to find the minimum cost tree spanning a...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
16 Citations
3,737 Views
13 Pages

Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution

  • Wenchao Yi,
  • Zhilei Lin,
  • Youbin Lin,
  • Shusheng Xiong and ,
  • Zitao Yu and
  • Yong Chen
  • + 1 author+ 0 author

4 March 2023

The optimal power flow problem is one of the most widely used problems in power system optimizations, which are multi-modal, non-linear, and constrained optimization problems. Effective constrained optimization methods can be considered in tackling t...

(This article belongs to the Special Issue Optimization in Scheduling and Control Problems)
  • Article
  • Open Access
2 Citations
3,106 Views
15 Pages

13 August 2018

We consider the constrained ordered weighted averaging (OWA) aggregation problem with a single constraint and lower bounded variables. For the three-dimensional constrained OWA aggregation problem with lower bounded variables, we present four types o...

(This article belongs to the Special Issue Fuzzy Techniques for Decision Making 2018)
  • Article
  • Open Access
8 Citations
4,585 Views
14 Pages

12 January 2021

This article presents the resource-constrained project scheduling problem with the discounted cash flow maximization criterion from the perspective of a contractor. Cash flows are considered as the contractor’s expenses related to the execution...

(This article belongs to the Special Issue Planning and Scheduling Optimization)
  • Article
  • Open Access
4 Citations
2,166 Views
13 Pages

2 March 2021

In many fields of science and engineering, partial differential equation (PDE) constrained optimal control problems are widely used. We mainly solve the optimization problem constrained by the time-periodic eddy current equation in this paper. We pro...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
10 Citations
3,618 Views
16 Pages

19 September 2018

A single constrained ordered weighted averaging aggregation (COWA) problem is of considerable importance in many disciplines. Two models are considered: the maximization COWA problem with lower bounded variables and the minimization COWA problem with...

(This article belongs to the Special Issue Discrete Optimization: Theory, Algorithms, and Applications)
  • Article
  • Open Access
3 Citations
2,956 Views
22 Pages

4 February 2021

We consider a decision-making problem to evaluate absolute ratings of alternatives from the results of their pairwise comparisons according to two criteria, subject to constraints on the ratings. We formulate the problem as a bi-objective optimizatio...

  • Article
  • Open Access
5 Citations
2,504 Views
28 Pages

A Two-Stage Multi-Objective Evolutionary Algorithm for the Dual-Resource Constrained Flexible Job Shop Scheduling Problem with Variable Sublots

  • Zekun Huang,
  • Shunsheng Guo,
  • Jinbo Zhang,
  • Guangqiang Bao and ,
  • Jinshan Yang and
  • Lei Wang
  • + 1 author+ 0 author

10 February 2025

The dual-resource constrained flexible job shop scheduling problem with variable sublots (DRCFJSP-VS) can be decomposed into four subproblems: the sublot splitting subproblem, the sublot sequencing subproblem, the machine assignment subproblem, and t...

(This article belongs to the Special Issue Transfer Learning Methods in Equipment Reliability Management)
  • Article
  • Open Access
11 Citations
2,225 Views
23 Pages

On Employing a Constrained Nonlinear Optimizer to Constrained Economic Dispatch Problems

  • Ghulam Abbas,
  • Irfan Ahmad Khan,
  • Naveed Ashraf,
  • Muhammad Taskeen Raza and ,
  • Muhammad Rashad and
  • Raheel Muzzammel
  • + 1 author+ 0 author

21 June 2023

Recently, different metaheuristic techniques, their variants, and hybrid forms have been extensively used to solve economic load dispatch (ELD) problems with and without valve point loading (VPL) effects. Due to the randomization involved in these me...

(This article belongs to the Section Energy Sustainability)
  • Article
  • Open Access
401 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
8 Citations
2,382 Views
16 Pages

1 November 2024

In this study, a low-carbon freight routing problem for time-sensitive goods is investigated in the context of water–rail–road multimodal transportation. To enhance the on-time transportation of time-sensitive goods, hard time windows are...

(This article belongs to the Special Issue Application of System Engineering and Complex Theory in Transportation)
  • Article
  • Open Access
493 Views
32 Pages

A Hybrid Reverse Learning Particle Swarm Optimization Method for Aircraft Maintenance Scheduling Based on the Resource-Constrained Project Scheduling Problem Model

  • Jiyan Zeng,
  • Yujie Cheng,
  • Chen Lu,
  • Zili Wang and ,
  • Xuanbo Liu,
  • Xinwei Wang and
  • Dengwei Song
  • + 2 authors+ 0 author

Aircraft maintenance scheduling is a critical task in air transportation and national defense security, characterized by complex multi-step procedures, strict precedence dependencies, and multi-resource constraints involving personnel skills and equi...

(This article belongs to the Special Issue Optimization-Based Motion Planning & Control for Autonomous Driving in Dynamic Environments)
  • Article
  • Open Access
1 Citations
1,370 Views
9 Pages

16 March 2024

This paper deals with p-maxian problem on cycles with an upper bound on the distances of all facilities. We consider the case of p=2 and show that, in the worst case, the optimal solution contains at least one vertex of the underlying cycle, which he...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
845 Views
38 Pages

This paper proposes a multi-strategy improved pied kingfisher optimizer (MSIPKO), a novel metaheuristic algorithm designed to address constrained optimization problems (COPs). COPs are widely encountered in engineering and industrial applications and...

(This article belongs to the Section Biological Optimisation and Management)
  • Article
  • Open Access
23 Citations
4,934 Views
26 Pages

11 March 2019

Firefly-Algorithm (FA) is an eminent nature-inspired swarm-based technique for solving numerous real world global optimization problems. This paper presents an overview of the constraint handling techniques. It also includes a hybrid algorithm, namel...

(This article belongs to the Special Issue Evolutionary Computation)
  • Article
  • Open Access
4 Citations
2,707 Views
21 Pages

Mixed Cost Function and State Constrains Optimal Control Problems

  • Hugo Leiva,
  • Guido Tapia-Riera,
  • Jhoana P. Romero-Leiton and
  • Cosme Duque

In this paper, we analyze an optimal control problem with a mixed cost function, which combines a terminal cost at the final state and an integral term involving the state and control variables. The problem includes both state and control constraints...

  • Article
  • Open Access
4 Citations
2,516 Views
33 Pages

2 June 2025

This paper proposes a multitasking-based genetic algorithm (MTGA-CMMO) to solve constrained multimodal multi-objective optimization problems (CMMOPs). In MTGA-CMMO, the main task is assisted by two auxiliary tasks to obtain all the feasible Pareto so...

  • Article
  • Open Access
10 Citations
3,575 Views
16 Pages

21 January 2020

This study compares two efficient formulations to solve corrective as well as preventive security-constrained (SC) DC-based optimal power flow (OPF) problems using linear sensitivity factors without sacrificing optimality. Both SCOPF problems are mod...

(This article belongs to the Special Issue Optimization Methods Applied to Power Systems Ⅱ)
  • Article
  • Open Access
4 Citations
1,836 Views
18 Pages

11 April 2023

In this paper, we propose two novel inertial forward–backward splitting methods for solving the constrained convex minimization of the sum of two convex functions, φ1+φ2, in Hilbert spaces and analyze their convergence behavior under so...

(This article belongs to the Special Issue Research Trends and Challenges in the Theory of Nonlinear Analysis and Its Applications)
  • Article
  • Open Access
2 Citations
1,932 Views
12 Pages

2 April 2022

Constrained ordered weighted averaging (OWA) aggregation attempts to solve the OWA optimization problem subject to multiple constraints. The problem is nonlinear in nature due to the reordered variables of arguments in the objective function, and the...

  • Article
  • Open Access
2,085 Views
13 Pages

18 June 2023

The purpose of the research is the study of a nonconstant gradient constrained problem for nonlinear monotone operators. In particular, we study a stationary variational inequality, defined by a strongly monotone operator, in a convex set of gradient...

(This article belongs to the Special Issue Optimization Models and Applications)
  • Article
  • Open Access
37 Citations
7,649 Views
16 Pages

11 January 2021

Construction projects are planned in a complex and dynamic environment characterized by high risks and uncertainties amidst resource constraints. Assessing construction schedule risk facilitates informed decision-making, especially in a resource-cons...

(This article belongs to the Section Civil Engineering)
  • Article
  • Open Access
3 Citations
4,300 Views
20 Pages

In this paper, a new approach to solve Chance Constrained Problems (CCPs) using huge data sets is proposed. Specifically, instead of the conventional mathematical model, a huge data set is used to formulate CCP. This is because such a large data set...

(This article belongs to the Special Issue Selected Papers from the 25th International Conference on Information and Software Technologies (ICIST 2019))
  • Article
  • Open Access
42 Citations
3,700 Views
20 Pages

22 December 2022

According to the characteristics of flexible job shop scheduling problems, a dual-resource constrained flexible job shop scheduling problem (DRCFJSP) model with machine and worker constraints is constructed such that the makespan and total delay are...

(This article belongs to the Special Issue Intelligent Monitoring, Control and Optimization in Industries 4.0)
  • Article
  • Open Access
2,199 Views
14 Pages

Stochastic Approximate Algorithms for Uncertain Constrained K-Means Problem

  • Jianguang Lu,
  • Juan Tang,
  • Bin Xing and
  • Xianghong Tang

4 January 2022

The k-means problem has been paid much attention for many applications. In this paper, we define the uncertain constrained k-means problem and propose a (1+ϵ)-approximate algorithm for the problem. First, a general mathematical model of the unc...

(This article belongs to the Special Issue Advanced Mathematical Methods in Intelligent Multimedia: Security and Applications)
  • Article
  • Open Access
975 Views
33 Pages

A Matheuristic for the Distance Constrained Inventory Routing Problem

  • Víctor Manuel Valenzuela-Alcaraz,
  • Efraín Ruiz-y-Ruiz,
  • Alma Danisa Romero-Ocaño,
  • Pamela Chiñas-Sánchez and
  • Cecilia Guadalupe Mota-Gutiérrez

7 March 2026

This paper addresses the Distance-Constrained Inventory Routing Problem (DCIRP), a complex problem that combines inventory management and vehicle routing in a logistics context. The problem arises in the context of a specialty gas delivery company th...

(This article belongs to the Special Issue Mathematical Modelling and Optimization for Sustainable Operations Management, 2nd Edition)
  • Article
  • Open Access
1,684 Views
13 Pages

11 July 2022

In this paper, we study a variational problem with nonconstant gradient constraints. Several aspects related to problems with gradient constraints have been studied in the literature and have seen new developments in recent years. In the case of cons...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
5 Citations
1,352 Views
21 Pages

24 May 2024

Iterative methods for solving constraint nonlinear monotone equations have been developed and improved by many researchers. The aim of this research is to present a modified three-term conjugate descent (TTCD) derivative-free method for constrained n...

  • Article
  • Open Access
5 Citations
3,955 Views
21 Pages

Investigating the Potential of Network Optimization for a Constrained Object Detection Problem

  • Tanguy Ophoff,
  • Cédric Gullentops,
  • Kristof Van Beeck and
  • Toon Goedemé

Object detection models are usually trained and evaluated on highly complicated, challenging academic datasets, which results in deep networks requiring lots of computations. However, a lot of operational use-cases consist of more constrained situati...

(This article belongs to the Special Issue 2020 Selected Papers from Journal of Imaging Editorial Board Members)
  • Article
  • Open Access
880 Views
39 Pages

An Enhanced Projection-Iterative-Methods-Based Optimizer for Complex Constrained Engineering Design Problems

  • Xuemei Zhu,
  • Han Peng,
  • Haoyu Cai,
  • Yu Liu and ,
  • Shirong Li and
  • Wei Peng
  • + 1 author+ 0 author

This paper proposes an Enhanced Projection-Iterative-Methods-based Optimizer (EPIMO) to overcome the limitations of its predecessor, the Projection-Iterative-Methods-based Optimizer (PIMO), including deterministic parameter decay, insufficient divers...

(This article belongs to the Section Computational Engineering)
  • Article
  • Open Access
2 Citations
1,540 Views
93 Pages

With the increasing complexity of optimization problems, existing methods are often inadequate for addressing these challenges, creating a pressing need for more versatile and robust approaches capable of solving a wide range of optimization problems...

(This article belongs to the Section Biological Optimisation and Management)
  • Article
  • Open Access
1,823 Views
13 Pages

21 September 2022

In this paper, first, we extend the analytical expression of the optimal solution of the constrained OWA aggregation problem with two comonotone constraints by also including the case when the OWA weights are arbitrary non-negative numbers. Then, we...

(This article belongs to the Special Issue New Trend on Fuzzy Systems and Intelligent Decision Making Theory: A Themed Issue Dedicated to Dr. Ronald R. Yager)
  • Article
  • Open Access
14 Citations
2,831 Views
19 Pages

An Improved Constrained Order Optimization Algorithm for Uncertain SCUC Problem Solving

  • Junjie Jia,
  • Nan Yang,
  • Chao Xing,
  • Haoze Chen and ,
  • Songkai Liu,
  • Yuehua Huang and
  • Binxin Zhu
  • + 2 authors+ 0 author

26 November 2019

Studying the faster and more efficient method of solving the uncertain security-constrained unit commitment (SCUC) problem is an urgent need for the development of power systems under the background of large-scale wind power access and power dispatch...

(This article belongs to the Section A1: Smart Grids and Microgrids)
  • Article
  • Open Access
20 Citations
2,619 Views
14 Pages

A Homotopy Method for the Constrained Inverse Problem in the Multiphase Porous Media Flow

  • Tao Liu,
  • Kaiwen Xia,
  • Yuanjin Zheng,
  • Yanxiong Yang and ,
  • Ruofeng Qiu,
  • Yunfei Qi and
  • Chao Liu
  • + 2 authors+ 0 author

7 June 2022

This paper considers the constrained inverse problem based on the nonlinear convection-diffusion equation in the multiphase porous media flow. To solve this problem, a widely convergent homotopy method is introduced and proposed. To evaluate the perf...

(This article belongs to the Special Issue Computational Modeling of Multiphase Flow (II))
  • Article
  • Open Access
14 Citations
3,488 Views
46 Pages

10 March 2023

The Competitive Swarm Optimizer (CSO) has emerged as a prominent technique for solving intricate optimization problems by updating only half of the population in each iteration. Despite its effectiveness, the CSO algorithm often exhibits a slow conve...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
33 Citations
4,302 Views
34 Pages

8 August 2023

In this study, the multi-mode resource-constrained multi-project scheduling problems (MMRCMPSPs) considering supply management and sustainable approach in the construction industry under uncertain conditions have been investigated using evidence theo...

(This article belongs to the Section Construction Management, and Computers & Digitization)
  • Article
  • Open Access
2,940 Views
12 Pages

6 December 2023

In the paper, we consider a generalization of the classical assignment problem, which is called the constrained assignment problem with bounds and penalties (CA-BP). Specifically, given a set of machines and a set of independent jobs, each machine ha...

(This article belongs to the Special Issue Graph Theory: Advanced Algorithms and Applications)
  • Article
  • Open Access
2 Citations
3,426 Views
16 Pages

27 December 2023

The minimum-cost arborescence problem is a well-studied problem. Polynomial-time algorithms for solving it exist. Recently, a new variation of the problem called the Precedence-Constrained Minimum-Cost Arborescence Problem with Waiting Times was pres...

(This article belongs to the Special Issue 2022 and 2023 Selected Papers from Algorithms Editorial Board Members)
  • Article
  • Open Access
8 Citations
2,282 Views
12 Pages

4 October 2021

By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational pr...

(This article belongs to the Special Issue Variational Problems and Applications)
  • Article
  • Open Access
283 Views
26 Pages

Graph-Constrained Diffusion with Progressive Distillation for Traveling Salesman Problem

  • Chulei Zhang,
  • Yunshuo Li,
  • Fushuo Li,
  • Xuan Wu and ,
  • Yuanshu Li,
  • Yubin Xiao and
  • You Zhou
  • + 2 authors+ 0 author

Diffusion models have shown strong promise for neural combinatorial optimization, yet existing approaches define the forward noising process over a fully connected graph, discarding the sparse topological structure inherent to the Traveling Salesman...

(This article belongs to the Section Artificial Intelligence and Multi-Agent Systems)
  • Article
  • Open Access
13 Citations
5,814 Views
17 Pages

5 September 2021

Resource-constrained project scheduling (RCPS) aims to minimize project duration under limited resource availabilities. The heuristic methods that are often used to solve the RCPS problem make use of different priority rules. The comparative merits o...

  • Article
  • Open Access
21 Citations
4,351 Views
32 Pages

A Modified jSO Algorithm for Solving Constrained Engineering Problems

  • Yong Shen,
  • Ziyuan Liang,
  • Hongwei Kang,
  • Xingping Sun and
  • Qingyi Chen

31 December 2020

Proposing new strategies to improve the optimization performance of differential evolution (DE) is an important research study. The jSO algorithm was the announced winner of the Congress on Evolutionary Computation (CEC) 2017 competition on numerical...

  • Article
  • Open Access
39 Citations
5,153 Views
21 Pages

In order to solve the optimization problem of wet waste collection and transportation in Chinese cities, this paper constructs a chance-constrained low-carbon vehicle routing problem (CCLCVRP) model in waste management system and applies certain algo...

  • Article
  • Open Access
4 Citations
2,797 Views
16 Pages

Dynamic Constrained Boundary Method for Constrained Multi-Objective Optimization

  • Qiuzhen Wang,
  • Zhibing Liang,
  • Juan Zou,
  • Xiangdong Yin and ,
  • Yuan Liu,
  • Yaru Hu and
  • Yizhang Xia
  • + 2 authors+ 0 author

26 November 2022

When solving complex constrained problems, how to efficiently utilize promising infeasible solutions is an essential issue because these promising infeasible solutions can significantly improve the diversity of algorithms. However, most existing cons...

(This article belongs to the Special Issue Computational Intelligence: Theory and Applications)
  • Article
  • Open Access
13 Citations
2,328 Views
12 Pages

9 June 2023

This paper studies a parameter estimation problem for the non-linear diffusion equation within multiphase porous media flow, which has important applications in the field of oil reservoir simulation. First, the given problem is transformed into an op...

(This article belongs to the Special Issue Advances in Computational Science and Its Applications)
  • Article
  • Open Access
3 Citations
2,469 Views
21 Pages

16 June 2024

In industries such as aircraft or train manufacturing, large-scale manufacturing companies often manage several complex projects. Each of these projects includes multiple tasks that share a set of limited resources. Typically, these tasks are also su...

(This article belongs to the Special Issue Metaheuristic Algorithms, 2nd Edition)
  • Article
  • Open Access
18 Citations
4,612 Views
20 Pages

25 August 2022

Multi-skilled resources have brought more flexibility to resource scheduling and have been a key factor in the research of resource-constrained project scheduling problems. However, existing studies are mainly limited to deterministic problems and ne...

(This article belongs to the Special Issue Mathematical Optimization and Evolutionary Algorithms with Applications)
  • Article
  • Open Access
15 Citations
4,201 Views
15 Pages

25 September 2019

This study addresses the dual resource constrained flexible job shop scheduling problem (DRCFJSP) with a multilevel product structure. The DRCFJSP is a strong NP-hard problem, and an efficient algorithm is essential for DRCFJSP. In this study, we pro...

(This article belongs to the Special Issue 2019 Smart Manufacturing on Production System, Quality Assurance, Process optimization, and Digital Modeling)
  • Article
  • Open Access
5 Citations
1,704 Views
15 Pages

23 November 2022

Given several nonnegative matrices with a single pattern of allocation among their zero/nonzero elements, the average matrix should have the same pattern as well. This is the first tenet of the pattern-multiplicative average (PMA) concept, while the...

(This article belongs to the Section E3: Mathematical Biology)

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