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839 Results Found

  • Article
  • Open Access
5,879 Views
29 Pages

31 December 2011

This paper considers the multiperiod hedging decision in a framework of mean-reverting spot prices and unbiased futures markets. The task is to determine the optimal hedging path, i.e., the sequence of positions in futures contracts with the objectiv...

  • Article
  • Open Access
2 Citations
2,626 Views
25 Pages

20 April 2022

Because electricity retailers must ensure that energy supply matches end-user demand, electricity that is not traded through bilateral contracts is typically traded in power exchanges which are subject to great price volatility. In Colombia, the spot...

(This article belongs to the Special Issue Uncertainty Analysis and Risk Management in Power Systems and Electricity Markets)
  • Article
  • Open Access
2,027 Views
25 Pages

30 October 2023

This paper deals with two-level production and distribution planning problems in supply chain management where the leader is a distributor and the follower is a manufacturer. Assuming that the distributor can observe the input–output data in th...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
1,736 Views
26 Pages

24 March 2025

As an efficient management pattern to improve logistics efficiency through intensive management of construction materials, construction logistics centers (CLCs) have received active attention from academics and practitioners. However, the CLC locatio...

(This article belongs to the Section Construction Management, and Computers & Digitization)
  • Feature Paper
  • Article
  • Open Access
19 Citations
3,977 Views
19 Pages

Conceptual Design of a Negative Emissions Polygeneration Plant for Multiperiod Operations Using P-Graph

  • Jean Pimentel,
  • Ákos Orosz,
  • Kathleen B. Aviso,
  • Raymond R. Tan and
  • Ferenc Friedler

27 January 2021

Reduction of CO2 emissions from industrial facilities is of utmost importance for sustainable development. Novel process systems with the capability to remove CO2 will be useful for carbon management in the future. It is well-known that major determi...

(This article belongs to the Special Issue Multi-Period Optimization of Sustainable Energy Systems)
  • Article
  • Open Access
3 Citations
2,987 Views
26 Pages

9 August 2019

In this paper, we propose a generalized multiperiod mean-variance portfolio optimization based on consideration of benchmark orientation and intertemporal restrictions, in which the investors not only focus on their own performance but also tend to c...

  • Article
  • Open Access
28 Citations
4,446 Views
33 Pages

Collaboration and Resource Sharing in the Multidepot Multiperiod Vehicle Routing Problem with Pickups and Deliveries

  • Yong Wang,
  • Qin Li,
  • Xiangyang Guan,
  • Jianxin Fan and ,
  • Yong Liu and
  • Haizhong Wang
  • + 1 author+ 0 author

24 July 2020

In this work, a multidepot multiperiod vehicle routing problem with pickups and deliveries (MDPVRPPD) is solved by optimizing logistics networks with collaboration and resource sharing among logistics service providers. The optimal solution can satis...

(This article belongs to the Section Sustainable Transportation)
  • Feature Paper
  • Article
  • Open Access
2,959 Views
22 Pages

13 December 2024

Plain or crude Monte Carlo simulation (CMC) is commonly applied for estimating multi-period tail risk measures such as value-at-risk (VaR) and expected shortfall (ES). After fitting a volatility model to the past history of returns and estimating the...

  • Article
  • Open Access
3 Citations
2,451 Views
18 Pages

We present an empirical study of the Aumann-Serrano performance index for multi-period gambles when the underlying stochastic process is assumed to be a normal mixture process with time-varying volatility. We compare the Aumann-Serrano performance in...

(This article belongs to the Section Financial Markets)
  • Article
  • Open Access
268 Views
15 Pages

18 August 2026

In this paper, we investigate multi-period multivariate risk measures as well as multivariate risk statistics. To be precise, by proposing new sets of axioms, we introduce two new classes of multi-period coherent and convex multivariate risk measures...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
9 Citations
4,985 Views
23 Pages

Multiperiod Optimisation of Irrigated Crops under Different Conditions of Water Availability

  • Mathias Kuschel-Otárola,
  • Diego Rivera,
  • Eduardo Holzapfel,
  • Cristian D. Palma and
  • Alex Godoy-Faúndez

12 October 2018

We propose a nonlinear optimisation model which maximises profits by resource allocation on a monthly time scale, considering a monthly crop yield model. The proposed model was applied to six management scenarios (two seasonal and four monthly), nine...

(This article belongs to the Special Issue Water Allocation in Rural Area: Economic Influences and Better Management)
  • Article
  • Open Access
40 Citations
6,345 Views
20 Pages

2 June 2021

Methods of multi-criteria decision making (MCDM) from operations research have been applied to provide information for making long-term decisions in the energy sector, and energy policy. For example, in sustainability evaluations, multiple conflictin...

(This article belongs to the Section Energy Sustainability)
  • Article
  • Open Access
2 Citations
2,989 Views
17 Pages

10 March 2022

Zoning adjustments are a key method of improving the conservation efficiency of a nature reserve. Existing studies typically consider the one-period programming method and ignore dynamic ecological changes during the programming of a nature reserve....

  • Article
  • Open Access
16 Citations
11,463 Views
31 Pages

We propose a novel multi-period trading model that allows portfolio managers to perform optimal portfolio allocation while incorporating their interpretable investment views. This model’s significant advantage is its intuitive and reactive desi...

(This article belongs to the Special Issue Financial Optimization and Risk Management)
  • Feature Paper
  • Article
  • Open Access
9 Citations
3,865 Views
21 Pages

27 November 2021

A water supply network is an essential part of industrial and urban water systems. The water intake in a conventional water supply network varies periodically over time, depending on the amount of available water resources and the demand at water sin...

(This article belongs to the Special Issue Advances in Energy System Synthesis and Energy-Water Nexus in Industry)
  • Article
  • Open Access
1 Citations
6,520 Views
27 Pages

14 July 2015

A technique for optimizing large-scale differential-algebraic process models under uncertainty using a parallel embedded model approach is developed in this article. A combined multi-period multiple-shooting discretization scheme is proposed, which c...

(This article belongs to the Special Issue Algorithms and Applications in Dynamic Optimization)
  • Article
  • Open Access
1 Citations
2,370 Views
20 Pages

8 October 2025

This study investigates how process manufacturing enterprises can optimize semi-finished inventory (SFI) distribution in delayed production models, with particular attention to differences in cost volatility between single- and multi-period planning...

  • Article
  • Open Access
42 Citations
6,806 Views
14 Pages

29 January 2020

A recommender system supports customers to find information, products, or services (such as music, books, movies, web sites, and digital contents), so it could help customers to make rapid routine decisions and save their time and money. However, mos...

(This article belongs to the Special Issue Fintech and Logistics in the Fourth Industrial Revolution Era)
  • Article
  • Open Access
1 Citations
1,131 Views
28 Pages

22 August 2025

As a crucial modeling tool for stochastic financial markets, the Lévy risk model effectively characterizes the evolution of risks during enterprise operations. Through dynamic evaluation and quantitative analysis of risk indicators under speci...

  • Article
  • Open Access
6,300 Views
18 Pages

17 April 2015

In the traditional studies on small-signal stability probability of a power system with wind farms, the frequency of wind speed was often assumed to obey to some extent a particular probability distribution. The stability probability that is thus obt...

(This article belongs to the Special Issue Sustainability in Electrical Engineering)
  • Article
  • Open Access
1 Citations
953 Views
16 Pages

Spatio-Temporal Deep Learning-Assisted Multi-Period AC Optimal Power Flow

  • Jihun Kim,
  • Sojin Park,
  • Dongwoo Kang and
  • Hunyoung Shin

11 February 2026

The increasing penetration of renewable energy resources has amplified variability and uncertainty in power systems, reducing the effectiveness of conventional single-period Optimal Power Flow (OPF) strategies. Multi-period AC-OPF offers a more compr...

(This article belongs to the Special Issue Edge-Intelligent Sustainable Cyber-Physical Systems)
  • Article
  • Open Access
10 Citations
3,344 Views
20 Pages

13 May 2019

In this paper, we study the portfolio selection problem considering transaction costs under multiple periods. For non-professional investors, it is a critical factor to choose an appropriate model among multiple portfolio selection models in investme...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
28 Citations
5,618 Views
27 Pages

The management of hazardous wastes in regions is required to design a multi-echelon network with multiple facilities including recycling, treatment and disposal centers servicing the transportation, recycling, treatment and disposal procedures of haz...

  • Article
  • Open Access
9 Citations
3,154 Views
23 Pages

A Multi-Period Optimal Reactive Power Dispatch Approach Considering Multiple Operative Goals

  • Jairo A. Morán-Burgos,
  • Juan E. Sierra-Aguilar,
  • Walter M. Villa-Acevedo and
  • Jesús M. López-Lezama

14 September 2021

The optimal reactive power dispatch (ORPD) problem plays a key role in daily power system operations. This paper presents a novel multi-period approach for the ORPD that takes into account three operative goals. These consist of minimizing total volt...

  • Article
  • Open Access
875 Views
20 Pages

A Mean-Risk Multi-Period Optimization Model for Cooperative Risk in the Shipbuilding Supply Chain

  • Ziquan Xiang,
  • Muhammad Hamza Naseem,
  • Xiuqian Pan and
  • Fatima Sayeeda Ahmad

13 November 2025

This study addresses the cooperative development problem between shipbuilding enterprises and suppliers under supply risk by improving and optimizing the Markowitz model. A mean-risk multi-period linear programming decision model and a nonlinear prog...

  • Feature Paper
  • Article
  • Open Access
13 Citations
2,757 Views
19 Pages

26 November 2020

Inter-plant hydrogen integration can reduce the consumption of hydrogen utility in petrochemical parks. However, the fluctuation of operating conditions will lead to complex multi-period problems of hydrogen network integration. This work develops a...

(This article belongs to the Special Issue Multi-Period Optimization of Sustainable Energy Systems)
  • Article
  • Open Access
14 Citations
4,197 Views
15 Pages

12 March 2019

Investing in the optimal measures for improving the energy efficiency of urban street lighting systems has become strategic for the economic, technological and social development of cities. The decision-making process for the selection of the optimal...

(This article belongs to the Special Issue Smart Urban Lighting Systems)
  • Article
  • Open Access
5 Citations
3,378 Views
30 Pages

12 August 2024

Supply chain management and distribution network design has attracted the attention of many researchers in recent years. The timely satisfaction of customer demands leads to reducing costs, improving service levels, and increasing customer satisfacti...

(This article belongs to the Special Issue Multi-criteria Decision Making in Supply Chain Management)
  • Article
  • Open Access
20 Citations
5,268 Views
32 Pages

22 August 2019

The remanufacturing industry plays a significant role to improve the utilization of resources and contribute to environmental protection and sustainable development. E-commerce channel (e-channel) has become an important retail channel. The multi-per...

  • Article
  • Open Access
1,948 Views
27 Pages

25 May 2025

This paper introduces a novel framework for multi-period portfolio optimization that incorporates intertemporal spectral risk measures (ISRMs). The model dynamically manages risk by considering both tail risk, through spectral risk measures, and over...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
3 Citations
5,483 Views
22 Pages

Using Biased-Randomized Algorithms for the Multi-Period Product Display Problem with Dynamic Attractiveness

  • Mage Marmol,
  • Leandro do C. Martins,
  • Sara Hatami,
  • Angel A. Juan and
  • Vicenc Fernandez

1 February 2020

From brick-and-mortar stores to omnichannel retail, the efficient selection of products to be displayed on store tables, advertising brochures, or online front pages has become a critical issue. One possible goal is to maximize the overall ‘att...

  • Article
  • Open Access
4 Citations
4,809 Views
26 Pages

Low-Carbon Energy Transition for the Sarawak Region via Multi-Period Carbon Emission Pinch Analysis

  • Jaya Prasanth Rajakal,
  • Nor Nazeelah Saleem,
  • Yoke Kin Wan,
  • Denny K. S. Ng and
  • Viknesh Andiappan

9 May 2023

The Paris agreement in 2015 has required that countries commit to global carbon emission reduction by setting their national targets. In most countries, the electricity sector is identified as one of the major contributors to carbon emissions. Theref...

  • Article
  • Open Access
5 Citations
4,145 Views
24 Pages

As a kind of first aid healthcare service, emergency medical services (EMSs) present high spatiotemporal sensitivity due to significant changes in the time-dependent urban environment. Taking full advantage of big spatiotemporal data to realize multi...

  • Article
  • Open Access
2,727 Views
16 Pages

This work develops a practical multi-period optimization approach that incorporates real-world constraints, including discrete decisions and conic risk constraints. Expanding upon earlier single-period models, our framework employs a binary scenario...

(This article belongs to the Special Issue Computational Finance and Financial Econometrics)
  • Article
  • Open Access
8 Citations
2,693 Views
15 Pages

23 February 2023

With the increasing integration of HVDC tie-lines, the regional power systems in both the energy-exporting area and the energy-importing area have been gradually evolving into “strong DC, weak AC” systems. In this paper, a multi-period tr...

(This article belongs to the Topic Distributed Energy Systems and Resources)
  • Article
  • Open Access
20 Citations
5,933 Views
34 Pages

5 February 2020

To avoid conflicts among trains at stations and provide passengers with a periodic train timetable to improve service level, this paper mainly focuses on the problem of multi-periodic train timetabling and routing by optimizing the routes of trains a...

(This article belongs to the Special Issue Sustainable Railway System)
  • Article
  • Open Access
7 Citations
3,608 Views
24 Pages

10 March 2023

In this paper, we propose an optimization model that considers two pathways for injecting renewable content into natural gas pipeline networks. The pathways include (1) power-to-hydrogen or PtH, where off-peak electricity is converted to hydrogen via...

(This article belongs to the Topic Integrated Modeling and Analytics for Sustainable Urban Energy Systems)
  • Article
  • Open Access
10 Citations
3,390 Views
25 Pages

26 September 2019

In financial markets, investors will face not only portfolio risk but also background risk. This paper proposes a credibilistic multi-objective mean-semi-entropy model with background risk for multi-period portfolio selection. In addition, realistic...

  • Article
  • Open Access
1,033 Views
19 Pages

7 April 2026

This paper addresses a dynamic multi-period pricing problem that incorporates time-varying contextual information and inventory constraints. Sales are modeled as a function of both price and a multidimensional context vector, which may include factor...

(This article belongs to the Special Issue Hybrid Intelligent Algorithms (2nd Edition))
  • Article
  • Open Access
1 Citations
4,074 Views
31 Pages

1 June 2019

This is Part III of a series of papers which focus on a general framework for portfolio theory. Here, we extend a general framework for portfolio theory in a one-period financial market as introduced in Part I [Maier-Paape and Zhu, Risks 2018, 6(2),...

(This article belongs to the Special Issue Portfolio Optimization and Risk Management: New Development and Applications)
  • Article
  • Open Access
51 Citations
7,841 Views
19 Pages

21 October 2019

This study researches the dynamical location optimization problem of a mobile charging station (MCS) powered by a LiFePO 4 battery to meet charging demand of electric vehicles (EVs). In city suburbs, a large public charging tower is deployed...

  • Article
  • Open Access
3 Citations
2,312 Views
19 Pages

23 September 2024

Due to the ever-growing load demand and the deregulation of the electricity market, power systems often run near the stability boundaries, which deteriorates system voltage stability and raises voltage issues for the stable operations of power system...

(This article belongs to the Section Sustainable Engineering and Science)
  • Article
  • Open Access
1 Citations
1,100 Views
26 Pages

26 January 2026

Marine data assets are increasingly recognized as important drivers of value creation in the blue economy, yet their valuation remains challenging due to difficulties in isolating data-related earnings in capital-intensive maritime enterprises. This...

  • Feature Paper
  • Article
  • Open Access
6 Citations
2,660 Views
24 Pages

Multi-Area and Multi-Period Optimal Reactive Power Dispatch in Electric Power Systems

  • Martín M. Sánchez-Mora,
  • Walter M. Villa-Acevedo and
  • Jesús M. López-Lezama

2 September 2023

Factors such as persistent demand growth, expansion project delays, and the rising adoption of renewable energy sources highlight the importance of operating power systems within safe operational margins. The optimal reactive power dispatch (ORPD) se...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
25 Citations
6,441 Views
22 Pages

4 January 2021

The paper aims to study a multi-period maximal covering location problem with the configuration of different types of facilities, as an extension of the classical maximal covering location problem (MCLP). The proposed model can have applications such...

  • Article
  • Open Access
7 Citations
3,008 Views
23 Pages

Credibilistic Multi-Period Mean-Entropy Rolling Portfolio Optimization Problem Based on Multi-Stage Scenario Tree

  • Pejman Peykani,
  • Mojtaba Nouri,
  • Mir Saman Pishvaee,
  • Camelia Oprean-Stan and
  • Emran Mohammadi

12 September 2023

This study considers a time-consistent multi-period rolling portfolio optimization issue in the context of a fuzzy situation. Rolling optimization with a risk aversion component attempts to separate the time periods and psychological effects of one&r...

(This article belongs to the Special Issue Mathematical Developments in Modeling Current Financial Phenomena)
  • Feature Paper
  • Article
  • Open Access
2 Citations
2,021 Views
26 Pages

29 May 2024

The complexity of historical data in financial markets and the uncertainty of the future, as well as the idea that investors always expect the least risk and the greatest return. This study presents a multi-period fractional portfolio model in a fuzz...

  • Article
  • Open Access
2 Citations
2,561 Views
29 Pages

22 May 2025

As a cornerstone of China’s climate governance framework, the carbon trading pilot policy provides critical insights into achieving Sustainable Development Goals (SDGs), particularly SDG 13 (Climate Action) which emphasizes carbon emission redu...

  • Article
  • Open Access
4 Citations
2,968 Views
20 Pages

30 May 2023

Utilizing panel data from 264 prefecture-level cities in mainland China between 2009 and 2017, this study employs a multi-period difference-in-differences model and propensity score matching to assess the effects of county-to-district transformation...

(This article belongs to the Special Issue Urban Land Development in the Process of Urbanization)
  • Article
  • Open Access
677 Views
36 Pages

Integrated Multi-Period Optimization of Electric Bus Transition Planning in Urban Mobility

  • Mohamed Ali,
  • Rami As’ad,
  • Mohamed Ben-Daya and
  • Moncer Hariga

23 June 2026

The transition to electric bus (EB) fleets is a critical step towards sustainable urban transportation, offering substantial reductions in greenhouse gas and pollutant emissions relative to diesel buses. However, transit authorities face multifaceted...

(This article belongs to the Section B: Energy and Environment)

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