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578 Results Found

  • Article
  • Open Access
1 Citations
1,024 Views
17 Pages

4 July 2025

Sustainable economic decision making increasingly requires robust methodologies capable of withstanding deep uncertainty, particularly in volatile financial and resource-constrained environments. This paper introduces a unified optimization framework...

(This article belongs to the Section Economic and Business Aspects of Sustainability)
  • Article
  • Open Access
1 Citations
1,862 Views
23 Pages

Each year, inventory decisions made under demand uncertainty generate substantial economic losses, reflecting a persistent disconnect between forecasting models and the operational decisions they are intended to support. This paper addresses this gap...

(This article belongs to the Section Risk)
  • Article
  • Open Access
670 Views
24 Pages

Risk-Constrained Optimization Framework for Generation and Transmission Maintenance Scheduling Under Economic and Carbon Emission Constraints

  • Huihang Li,
  • Jie Chen,
  • Wenjuan Du,
  • Chiguang Wei and ,
  • Zhuping Xiang,
  • Hanlong Liu,
  • Xieyu Hu and
  • Yuping Huang
  • + 3 authors+ 0 author

30 December 2025

Power generation and transmission systems face increasing challenges in coordinating maintenance planning under economic pressure and carbon emission constraints. This study proposes an optimization framework that integrates preventive maintenance sc...

(This article belongs to the Section C: Energy Economics and Policy)
  • Review
  • Open Access
47 Citations
10,365 Views
47 Pages

14 October 2021

The unit commitment problem (UCP) is one of the key and fundamental concerns in the operation, monitoring, and control of power systems. Uncertainty management in a UCP has been of great interest to both operators and researchers. The uncertainties t...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
5 Citations
3,602 Views
12 Pages

Participation of an EV Aggregator in the Reserve Market through Chance-Constrained Optimization

  • António Sérgio Faria,
  • Tiago Soares,
  • Tiago Sousa and
  • Manuel A. Matos

6 August 2020

The adoption of Electric Vehicles (EVs) will revolutionize the storage capacity in the power system and, therefore, will contribute to mitigate the uncertainty of renewable generation. In addition, EVs have fast response capabilities and are suitable...

(This article belongs to the Special Issue Novel Developments in Energy Resources Management, Distribution Systems, Microgrids and Energy Communities)
  • Article
  • Open Access
1 Citations
645 Views
22 Pages

Topology-Aware Multi-Objective Swarm Optimization for Bond ETF Allocation Under Credit-Risk Constraints

  • Ziyi Tang,
  • Jingming Li,
  • Jingjing Jiang,
  • Mu-Jiang-Shan Wang and ,
  • Wentao Zhu and
  • Yue Zhu
  • + 1 author+ 0 author

7 May 2026

Bond ETF rebalancing is difficult to describe with return and risk objectives alone, because a portfolio that looks attractive on paper may still be impractical if it requires large and unstable trades. This paper proposes a topology-aware multi-obje...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
514 Views
19 Pages

4 August 2026

Penalty function methods are fundamental for solving constrained optimization problems, yet the widely used l1 exact penalty function is non-differentiable and therefore incompatible with gradient-based algorithms. This paper proposes a continuously...

(This article belongs to the Section B: Mathematics)
  • Feature Paper
  • Article
  • Open Access
21 Citations
4,285 Views
12 Pages

Risk-Constrained Optimal Chiller Loading Strategy Using Information Gap Decision Theory

  • Er Shi,
  • Farkhondeh Jabari,
  • Amjad Anvari-Moghaddam,
  • Mousa Mohammadpourfard and
  • Behnam Mohammadi-ivatloo

10 May 2019

This paper presents a novel framework for economic cooling load dispatch in conventional water-cooled chillers. Moreover, information gap decision theory (IGDT) is applied to the optimal chiller loading (OCL) problem to find the optimum operating poi...

(This article belongs to the Special Issue Sustainable Energy Systems Planning, Integration and Management)
  • Article
  • Open Access
8 Citations
2,633 Views
21 Pages

7 August 2023

Under increasingly stringent environmental regulations, inadequate green input levels from manufacturers may lead to substandard emissions and production shutdown, which further results in the disruption risk of the supply chain. This work investigat...

(This article belongs to the Special Issue Green Supply Chain and Sustainable Economic Development)
  • Feature Paper
  • Article
  • Open Access
12 Citations
3,649 Views
17 Pages

Risk-Constrained Stochastic Scheduling of a Grid-Connected Hybrid Microgrid with Variable Wind Power Generation

  • Mostafa Vahedipour-Dahraie,
  • Homa Rashidizadeh-Kermani and
  • Amjad Anvari-Moghaddam

This paper presents a risk-constrained scheduling optimization model for a grid-connected hybrid microgrid including demand response (DR), electric vehicles (EVs), variable wind power generation and dispatchable generation units. The proposed model d...

(This article belongs to the Special Issue Active Regional Energy Systems and Microgrids)
  • Proceeding Paper
  • Open Access
315 Views
14 Pages

13 August 2026

The rapid integration of digital technologies including cloud infrastructures, Internet of Things ecosystems, artificial intelligence, and large-scale enterprise platforms has reshaped the operational and architectural foundations of contemporary org...

  • Article
  • Open Access
149 Views
40 Pages

Conditional-Risk Optimization and KKT Geometry of a Regime- and Horizon-Adaptive Probabilistic Ensemble for Local Weather Forecasting

  • Boris V. Malozyomov,
  • Nikita V. Martyushev,
  • Denis V. Valuev,
  • Svetlana N. Sorokova and ,
  • Egor A. Efremenkov,
  • Anton Y. Demin and
  • Alexander V. Pogrebnoy
  • + 2 authors+ 0 author

13 October 2026

A regime- and horizon-adaptive probabilistic ensemble is proposed for local multi-horizon weather forecasting. The theoretical formulation links conditional second-moment error matrices to posterior probabilities of latent atmospheric-state component...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
854 Views
19 Pages

A Methodological Approach for Risk Assessment of Municipal Water Supply Projects

  • Maria D. Gracia,
  • Julio Mar-Ortiz,
  • Carlos Roberto Luna-Domínguez and
  • Jannya Pancardo

5 March 2026

Critical infrastructure projects are essential for societal well-being and economic prosperity. These projects are characterized by significant complexities and uncertainties, including weather conditions, design challenges, and regulatory constraint...

(This article belongs to the Special Issue Recent Advances in Optimization Algorithms for Scheduling and Operations Research)
  • Article
  • Open Access
2,900 Views
31 Pages

Natural Cubic Spline Approximation of Risk-Neutral Density

  • Shuang Zhou,
  • Liyuan Jiang,
  • Keren Li,
  • Fangfang Wang and
  • Jie Yang

The risk-neutral density is a fundamental concept in pricing financial derivatives, risk management, and assessing financial markets’ perceptions over significant political or economic events. In this paper, we propose a new nonparametric metho...

  • Article
  • Open Access
23 Citations
8,411 Views
20 Pages

Optimal Bidding Strategies for Wind Power Producers in the Day-ahead Electricity Market

  • Haifeng Zhang,
  • Feng Gao,
  • Jiang Wu,
  • Kun Liu and
  • Xiaolin Liu

20 November 2012

Wind Power Producers (WPPs) seek to maximize profit and minimize the imbalance costs when bidding into the day-ahead market, but uncertainties in the hourly available wind and forecasting errors make the bidding risky. This paper assumes that hourly...

  • Article
  • Open Access
22 Citations
13,949 Views
28 Pages

22 March 2013

Portfolio optimization is one of the problems most frequently encountered by financial practitioners. The main goal of this paper is to fill a gap in the literature by providing a well-documented, step-by-step open-source implementation of Critical L...

  • Article
  • Open Access
2 Citations
1,691 Views
19 Pages

Stochastic Decision-Making Optimization Model for Large Electricity Self-Producers Using Natural Gas in Industrial Processes: An Approach Considering a Regret Cost Function

  • Laís Domingues Leonel,
  • Mateus Henrique Balan,
  • Luiz Armando Steinle Camargo,
  • Dorel Soares Ramos and ,
  • Roberto Castro and
  • Felipe Serachiani Clemente
  • + 1 author+ 0 author

29 October 2024

In the context of high energy costs and energy transition, the optimal use of energy resources for industrial consumption is of fundamental importance. This paper presents a decision-making structure for large consumers with flexibility to manage ele...

(This article belongs to the Special Issue Energy Markets and Energy Economy)
  • Article
  • Open Access
6 Citations
2,266 Views
35 Pages

Sustainable and Safe Last-Mile Delivery: A Multi-Objective Truck–Drone Matheuristic

  • Armin Mahmoodi,
  • Mehdi Davoodi,
  • Said M. Easa and
  • Seyed Mojtaba Sajadi

4 February 2026

Background: The rapid growth of e-commerce has intensified the need for last-mile delivery systems that can navigate urban congestion while minimizing environmental impact. Hybrid truck–drone networks offer a promising solution by combining hea...

(This article belongs to the Special Issue Multi-Criteria Decision-Making and Its Application in Sustainable Smart Logistics—2nd Edition)
  • Article
  • Open Access
5 Citations
5,007 Views
35 Pages

8 May 2020

The fundamental modeling of energy systems through individual unit commitment decisions is crucial for energy system planning. However, current large-scale models are not capable of including uncertainties or even risk-averse behavior arising from fo...

(This article belongs to the Special Issue Uncertainties and Risk Management in Competitive Energy Markets)
  • Article
  • Open Access
1 Citations
1,069 Views
30 Pages

Market-Aware and Topology-Embedded Safe Reinforcement Learning for Virtual Power Plant Dispatch

  • Yueping Xiang,
  • Luoyi Li,
  • Yanqiu Hou,
  • Xiaoyu Dai and ,
  • Wenfeng Peng,
  • Zhuoyang Liu,
  • Ziming Liu,
  • Zicong Chen,
  • Xingyu Hu and
  • Lv He
  • + 5 authors+ 0 author

To address the challenges faced by virtual power plants (VPPs) in uncertain market environments and complex distribution networks, including strong market coupling, difficulty in multi-resource coordination, and strict safety constraints, this paper...

(This article belongs to the Section Marketing, Promotion and Socio Economics)
  • Article
  • Open Access
800 Views
36 Pages

Optimizing Risk–Return Tradeoffs in Wind–Storage Bidding: A Soft Actor–Critic Approach

  • Tongtao Ma,
  • Zongxing Li,
  • Dunnan Liu,
  • Zetian Zhao and ,
  • Yuting Li,
  • Wantong Cai and
  • Qun Li
  • + 2 authors+ 0 author

10 April 2026

Strategic bidding for wind–battery hybrid systems is increasingly critical as electricity spot markets transition toward market-oriented mechanisms, particularly in Chinese pilot regions. However, dual uncertainties—wind generation variab...

(This article belongs to the Topic AI and Computational Methods for Modelling, Simulations and Optimizing of Advanced Systems: Innovations in Complexity, 2nd Edition)
  • Article
  • Open Access
235 Views
41 Pages

23 October 2026

This research addresses robust trajectory planning for a freely tumbling non-cooperative target with uncertain inertia estimates, accounting for both approach geometry under random attitudes and navigation error. Inertia errors propagate through nonl...

(This article belongs to the Section Astronautics & Space Science)
  • Article
  • Open Access
452 Views
25 Pages

18 August 2026

This paper proposes a stochastic dispatch framework for multi-terminal high-voltage direct current (MT-HVDC) systems that explicitly accounts for uncertainty in photovoltaic (PV) generation and electrical demand while preserving computational tractab...

  • Article
  • Open Access
49 Citations
23,602 Views
24 Pages

Bitcoin and Portfolio Diversification: A Portfolio Optimization Approach

  • Walid Bakry,
  • Audil Rashid,
  • Somar Al-Mohamad and
  • Nasser El-Kanj

This study investigates the performance of Bitcoin as a diversifier under different constraining portfolio optimization frameworks. The study employs different constraining optimization frameworks that seek to maximize risk-adjusted returns (Sharpe r...

(This article belongs to the Special Issue Advanced Portfolio Optimization and Management)
  • Article
  • Open Access
5 Citations
4,537 Views
20 Pages

This study considers an asset-liability optimization model based on constraint robustness with the chance constraint of capital to risk assets ratio in a safety-first framework under the condition that only moment information is known. This paper aim...

(This article belongs to the Special Issue Applications of Operational Research and Mathematical Models in Management)
  • Article
  • Open Access
6 Citations
8,291 Views
19 Pages

Critical environmental and human health concerns are associated with the rapidly growing fields of nanotechnology and manufactured nanomaterials (MNMs). The main risk arises from occupational exposure via chronic inhalation of nanoparticles. This re...

(This article belongs to the Special Issue Occupational Health)
  • Article
  • Open Access
2 Citations
389 Views
27 Pages

8 July 2026

Reliability-constrained generation expansion planning (GEP) is crucial to balance economy and reliability for power systems with high renewable penetration. Most of the existing reliability-constrained GEP methods treat reliability indices as exogeno...

(This article belongs to the Special Issue Advanced Planning, Operation and Control Methods for Sustainable Power Systems)
  • Article
  • Open Access
24 Citations
5,583 Views
20 Pages

29 August 2017

With large-scale integration of distributed energy resources (DERs), distribution networks have turned into active distribution networks (ADNs). However, management risks and obstacles are caused by this in due to renewable energy generation (REG) fo...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
3 Citations
5,057 Views
18 Pages

A Multi-Objective Chance-Constrained Programming Approach for Uncertainty-Based Optimal Nutrients Load Reduction at the Watershed Scale

  • Xujun Liu,
  • Mengjiao Zhang,
  • Han Su,
  • Feifei Dong and ,
  • Yao Ji and
  • Yong Liu
  • + 1 author+ 0 author

3 May 2017

A multi-objective chance-constrained programming integrated with Genetic Algorithm and robustness evaluation methods was proposed to weigh the conflict between system investment against risk for watershed load reduction, which was firstly applied to...

(This article belongs to the Special Issue Modeling of Water Systems)
  • Article
  • Open Access
12 Citations
3,561 Views
19 Pages

6 April 2021

This paper investigates a supply chain consisting of a single risk-neutral supplier and a single risk-averse retailer with the call option contract and a service requirement, where the retailer’s objective is to maximize the Conditional Value-at-Risk...

  • Article
  • Open Access
1 Citations
2,439 Views
16 Pages

Portfolio optimization is a mathematical formulation whose objective is to maximize returns while minimizing risks. A great deal of improvement in portfolio optimization models has been made, including the addition of practical constraints. As the nu...

  • Article
  • Open Access
1 Citations
5,129 Views
18 Pages

Portfolio Optimization under Correlation Constraint

  • Aditya Maheshwari and
  • Traian A. Pirvu

6 February 2020

We consider the problem of portfolio optimization with a correlation constraint. The framework is the multi-period stochastic financial market setting with one tradable stock, stochastic income, and a non-tradable index. The correlation constraint is...

(This article belongs to the Special Issue Systemic Risk in Finance and Insurance)
  • Article
  • Open Access
6 Citations
8,926 Views
30 Pages

15 September 2015

In the paper, we introduce a multi-objective scenario-based optimization approach for chance-constrained portfolio selection problems. More specifically, a modified version of the normal constraint method is implemented with a global solver in order...

(This article belongs to the Special Issue Non-Life Insurance Mathematics beyond Risk Theory: Pricing and Claims Reserving)
  • Article
  • Open Access
1 Citations
462 Views
31 Pages

Risk-Aware Cost-Constrained Scheduling for Resource- Constrained Dynamic Heterogeneous Redundancy Systems

  • Kexuan Liu,
  • Yanyu Chen,
  • Ying Wang,
  • Yuxiang Zhou and ,
  • Tao Wan and
  • Xin Xie
  • + 1 author+ 0 author

Resource-constrained dynamic heterogeneous redundancy (DHR) systems use executor diversity and runtime reconfiguration to reduce stable attack surfaces. However, effective scheduling cannot rely only on heterogeneity or movement frequency, because re...

(This article belongs to the Section ICT Infrastructures for Cybersecurity)
  • Article
  • Open Access
1 Citations
5,031 Views
18 Pages

Optimal Detection under the Restricted Bayesian Criterion

  • Shujun Liu,
  • Ting Yang and
  • Hongqing Liu

19 July 2017

This paper aims to find a suitable decision rule for a binary composite hypothesis-testing problem with a partial or coarse prior distribution. To alleviate the negative impact of the information uncertainty, a constraint is considered that the maxim...

(This article belongs to the Special Issue Maximum Entropy and Bayesian Methods)
  • Article
  • Open Access
2 Citations
6,415 Views
16 Pages

Projects are exposed to risks that may hinder their success regarding cost, schedule, and quality/content. After identifying these risks, the project manager must select a subset for mitigation, constrained by a limited risk response budget. The prob...

(This article belongs to the Section Financial Technology and Innovation)
  • Article
  • Open Access
3 Citations
1,913 Views
14 Pages

12 January 2024

The intermittent nature of wind power generation induces great challenges for power bidding in the electricity market. The deployment of battery energy storage can improve flexibility for power bidding. This paper investigates an optimal power biddin...

(This article belongs to the Special Issue Advanced Application for Renewable Energy Sources: Modelling, Management Control, Data Monitoring, Health Management, Design and Improvement)
  • Article
  • Open Access
6 Citations
2,367 Views
25 Pages

From Efficiency to Safety: A Simulation-Based Framework for Evaluating Empty-Container Terminal Layouts

  • Cristóbal Vera-Carrasco,
  • Cristian D. Palma and
  • Sebastián Muñoz-Herrera

Empty container depot (ECD) design significantly impacts maritime terminal efficiency, yet traditional evaluation approaches assess limited operational factors, constraining comprehensive performance optimization. This study develops an integrated di...

(This article belongs to the Special Issue New Trends in Engineering and Operational Research on Container Supply Chain Management for Resilience, Digitalization, Intelligence and Sustainability)
  • Article
  • Open Access
7 Citations
6,218 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
4 Citations
3,134 Views
16 Pages

13 September 2021

Some capital-constrained and risk-averse retailers may unable to obtain financing from banks due to insufficient collateral and high loan costs, so some retailers tend to use trade credit financing to ease their financial pressure. For the two echelo...

(This article belongs to the Special Issue Optimal Decisions and Risk Assessment in Sustainable Supply Chains)
  • Article
  • Open Access
4 Citations
5,465 Views
12 Pages

Portfolio Optimization Constrained by Performance Attribution

  • Yuan Hu,
  • W. Brent Lindquist and
  • Svetlozar T. Rachev

This paper investigates performance attribution measures as a basis for constraining portfolio optimization. We employ optimizations that minimize conditional value-at-risk and investigate two performance attributes, asset allocation (AA) and the sel...

(This article belongs to the Special Issue Frontiers in Quantitative Finance)
  • Article
  • Open Access
10 Citations
7,220 Views
21 Pages

The spatial distribution of urban geographical events is largely constrained by the road network, and research on spatial clusters of fire accidents at the city level plays a crucial role in emergency rescue and urban planning. For example, by knowin...

(This article belongs to the Special Issue Urban Environment Mapping Using GIS)
  • Article
  • Open Access
2 Citations
4,124 Views
26 Pages

29 January 2025

With an increasing number of firms in cybersecurity information-sharing platforms, the potential cyber risks become a critical challenge during the exchanging of information. How to balance economic benefits and security requirements is an important...

(This article belongs to the Section Systems Practice in Social Science)
  • Article
  • Open Access
4 Citations
1,610 Views
33 Pages

13 September 2025

The growing reliance on autonomy in uncrewed aircraft systems (UASs) necessitates a real-time solution for assured contingency landing management during in-flight emergencies. This paper presents a novel gradient-guided search algorithm for risk-awar...

  • Article
  • Open Access
4 Citations
2,878 Views
37 Pages

Mutational Chemotaxis Motion Driven Moth-Flame Optimizer for Engineering Applications

  • Helong Yu,
  • Shimeng Qiao,
  • Ali Asghar Heidari,
  • Lei Shi and
  • Huiling Chen

28 November 2022

Moth-flame optimization is a typical meta-heuristic algorithm, but it has the shortcomings of low-optimization accuracy and a high risk of falling into local optima. Therefore, this paper proposes an enhanced moth-flame optimization algorithm named H...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
1 Citations
2,468 Views
11 Pages

Using Algorithmic Transformations and Sensitivity Analysis to Unleash Approximations in CNNs at the Edge

  • Flavio Ponzina,
  • Giovanni Ansaloni,
  • Miguel Peón-Quirós and
  • David Atienza

19 July 2022

Previous studies have demonstrated that, up to a certain degree, Convolutional Neural Networks (CNNs) can tolerate arithmetic approximations. Nonetheless, perturbations must be applied judiciously, to constrain their impact on accuracy. This is a cha...

(This article belongs to the Special Issue Hardware-Friendly Machine Learning and Its Applications)
  • Article
  • Open Access
530 Views
25 Pages

A New Hybrid Method: CDRL-QNN for Stable IoT Intrusion Detection

  • Muhammed Yusuf Küçükkara,
  • Furkan Atban and
  • Cüneyt Bayılmış

9 May 2026

The rapid expansion of the Internet of Things (IoT) has increased the risk of large-scale Distributed Denial-of-Service (DDoS) attacks. In high-availability IoT environments, the operational costs of false positives and false negatives are asymmetric...

(This article belongs to the Special Issue Cybersecurity and Data Protection: Modern Methods and New Applications)
  • Article
  • Open Access
1 Citations
3,944 Views
20 Pages

This paper investigates an optimal reinsurance policy using a risk model with dependent claim and insurance premium by assuming that the insurance premium is random. Their dependence structure is modeled using Sarmanov’s bivariate exponential d...

  • Article
  • Open Access
515 Views
19 Pages

7 July 2026

In chemical industrial parks, evacuation during LPG tank leakage is governed not only by travel distance but by the loss of safe corridors, failed exits, and congestion induced by spatially coupled vapor exposure, explosion overpressure, and thermal...

(This article belongs to the Section Process Control, Modeling and Optimization)
  • Article
  • Open Access
5 Citations
3,587 Views
19 Pages

Robust Statistic Estimation of Constrained Optimal Control Problems of Pollution Accumulation (Part I)

  • Beatris Adriana Escobedo-Trujillo,
  • José Daniel López-Barrientos,
  • Carmen Geraldi Higuera-Chan and
  • Francisco Alejandro Alaffita-Hernández

11 February 2023

In this paper, we study a constrained optimal control on pollution accumulation where the dynamic system was governed by a diffusion process that depends on unknown parameters, which need to be estimated. As the true values are unknown, we intended t...

(This article belongs to the Special Issue Application of Optimal Control and Game Theory to the Problem of Resource Management)

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