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Journal articles on the topic 'Epsilon constraint method'

Author: Grafiati

Published: 11 December 2022

Last updated: 25 May 2024

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1

Pérez‐Cañedo, Boris, José Luis Verdegay, and Ridelio Miranda Pérez. "An epsilon‐constraint method for fully fuzzy multiobjective linear programming." International Journal of Intelligent Systems 35, no. 4 (2020): 600–624. http://dx.doi.org/10.1002/int.22219.

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Kai, Liu, and Ramina Malekalipour Kordestanizadeh. "Designing an Agile Closed-Loop Supply Chain with Environmental Aspects Using a Novel Multiobjective Metaheuristic Algorithm." Mathematical Problems in Engineering 2021 (November 2, 2021): 1–13. http://dx.doi.org/10.1155/2021/3811417.

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Success in supply chain implementation depends on the way of dealing with market changes and customer needs. Agility is a concept that has been introduced in recent years to improve the supply chain. On the other hand, paying attention to environmental problems is another issue, and chains are trying to increase their popularity by focusing on this issue. Considering the importance of this issue, designing a multiobjective closed-loop supply chain network has been discussed in this research. The main contribution of this research is the integration of green and agility concepts in supply chain

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Zhou, Jinlong, Juan Zou, Jinhua Zheng, Shengxiang Yang, Dunwei Gong, and Tingrui Pei. "An infeasible solutions diversity maintenance epsilon constraint handling method for evolutionary constrained multiobjective optimization." Soft Computing 25, no. 13 (2021): 8051–62. http://dx.doi.org/10.1007/s00500-021-05880-5.

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Agud-Albesa, Lucia, Neus Garrido, Angel A. Juan, Almudena Llorens, and Sandra Oltra-Crespo. "A Weighted and Epsilon-Constraint Biased-Randomized Algorithm for the Biobjective TOP with Prioritized Nodes." Computation 12, no. 4 (2024): 84. http://dx.doi.org/10.3390/computation12040084.

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This paper addresses a multiobjective version of the Team Orienteering Problem (TOP). The TOP focuses on selecting a subset of customers for maximum rewards while considering time and fleet size constraints. This study extends the TOP by considering two objectives: maximizing total rewards from customer visits and maximizing visits to prioritized nodes. The MultiObjective TOP (MO-TOP) is formulated mathematically to concurrently tackle these objectives. A multistart biased-randomized algorithm is proposed to solve MO-TOP, integrating exploration and exploitation techniques. The algorithm emplo

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Mavalizadeh, Hani, and Abdollah Ahmadi. "Hybrid expansion planning considering security and emission by augmented epsilon-constraint method." International Journal of Electrical Power & Energy Systems 61 (October 2014): 90–100. http://dx.doi.org/10.1016/j.ijepes.2014.03.004.

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Jin, Bangti, Buyang Li, and Zhi Zhou. "Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint." IMA Journal of Numerical Analysis 40, no. 1 (2018): 377–404. http://dx.doi.org/10.1093/imanum/dry064.

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Abstract In this work we present numerical analysis for a distributed optimal control problem, with box constraint on the control, governed by a subdiffusion equation that involves a fractional derivative of order $\alpha \in (0,1)$ in time. The fully discrete scheme is obtained by applying the conforming linear Galerkin finite element method in space, L1 scheme/backward Euler convolution quadrature in time, and the control variable by a variational-type discretization. With a space mesh size $h$ and time stepsize $\tau $ we establish the following order of convergence for the numerical soluti

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Tartibu, L. K., B. Sun, and M. A. E. Kaunda. "Optimal design study of thermoacoustic regenerator with lexicographic optimization method." Journal of Engineering, Design and Technology 13, no. 3 (2015): 499–519. http://dx.doi.org/10.1108/jedt-09-2012-0039.

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Purpose – This paper aims to illustrate the use of the augmented epsilon-constraint method implemented in general algebraic modelling system (GAMS), aimed at optimizing the geometry of a thermoacoustic regenerator. Thermoacoustic heat engines provide a practical solution to the problem of heat management where heat can be pumped or spot cooling can be produced. However, the most inhibiting characteristic of thermoacoustic cooling is their current lack of efficiencies. Design/methodology/approach – Lexicographic optimization is presented as an alternative optimization technique to the common us

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Estrin, Ron, and Michael P. Friedlander. "A perturbation view of level-set methods for convex optimization." Optimization Letters 14, no. 8 (2020): 1989–2006. http://dx.doi.org/10.1007/s11590-020-01609-9.

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Abstract Level-set methods for convex optimization are predicated on the idea that certain problems can be parameterized so that their solutions can be recovered as the limiting process of a root-finding procedure. This idea emerges time and again across a range of algorithms for convex problems. Here we demonstrate that strong duality is a necessary condition for the level-set approach to succeed. In the absence of strong duality, the level-set method identifies $$\epsilon $$ ϵ -infeasible points that do not converge to a feasible point as $$\epsilon $$ ϵ tends to zero. The level-set approach

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Bamogo, W., K. Some, and G. A. Degla. "PERFORMANCE STUDY OF MULTIOBJECTIVE OPTIMIZER METHOD BASED ON GREY WOLF ATTACK TECHNICS." Journal of Computer Science and Applied Mathematics 5, no. 2 (2023): 53——73. http://dx.doi.org/10.37418/jcsam.5.2.2.

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This paper proposes a performance study for the Multiobjective Optimizer based on the Grey Wolf Attack technics (MOGWAT). It is a method of solving multiobjective optimization problems. The method consists of the resolution of an unconstrained single objective optimization problem, which is derived from the aggregation of objective functions by the $\epsilon$-constraint approach and the penalization of constraints by a Lagrangian function. Then, Pareto-optimal solutions are obtained using the stochastic method based on the Grey Wolf Optimizer. To evaluate the method, three theorems have been f

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Bozoklar, Emine, and Ebru Yılmaz. "Designing Sustainable Flexible Manufacturing Cells with Multi-Objective Optimization Models." Applied Sciences 14, no. 1 (2023): 203. http://dx.doi.org/10.3390/app14010203.

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Having sustainable and flexible features is crucial for manufacturing companies considering the increasing competition in the globalized world. This study considers three aspects of sustainability, namely economic, social, and environmental factors, in the design of flexible manufacturing cells. Three different multi-objective integer mathematical programming models were developed with the objective of minimizing the costs associated with carbon emissions, inter-cellular movements, machine processing, machine replacement, worker training, and additional salary (bonus). Simultaneously, these mo

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Laumanns, Marco, Lothar Thiele, and Eckart Zitzler. "An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method." European Journal of Operational Research 169, no. 3 (2006): 932–42. http://dx.doi.org/10.1016/j.ejor.2004.08.029.

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12

Pirouz, Behzad, and Esmaile Khorram. "A COMPUTATIONAL APPROACH BASED ON THE \epsilon-CONSTRAINT METHOD IN MULTI-OBJECTIVE OPTIMIZATION PROBLEMS." Advances and Applications in Statistics 49, no. 6 (2016): 453–83. http://dx.doi.org/10.17654/as049060453.

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13

Stoilova, Svetla. "An Integrated Multi-Criteria and Multi-Objective Optimization Approach for Establishing the Transport Plan of Intercity Trains." Sustainability 12, no. 2 (2020): 687. http://dx.doi.org/10.3390/su12020687.

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The development of the transport plan must take into account various criteria impacting the transport process. The main objective of the study is to propose an integrated approach to determine the transport plan of passenger trains. The methodology consists of five steps. In the first step, the criteria for optimization of the transport plan were defined. In the second step, variants of the transport plan were formulated. In the third step, the weights of the criteria are determined by applying the step-wise weight assessment ratio analysis method (SWARA) multi-criteria method. The multi-objec

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Yuan, Yu, Pengcheng Wang, and Minghui Wang. "Multi-Objective Stochastic Synchronous Timetable Optimization Model Based on a Chance-Constrained Programming Method Combined with Augmented Epsilon Constraint Algorithm." Mathematical Problems in Engineering 2022 (August 28, 2022): 1–18. http://dx.doi.org/10.1155/2022/9222636.

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The design of the timetable is essential to improve the service quality of the public transport system. A lot of random factors in the actual operation environment will affect the implementation of the synchronous timetable, and adjusting timetables to improve synchronization will break the order of normal service and increase the cost of operation. A multi-objective bus timetable optimization problem is characterized by considering the randomness of vehicle travel time and passenger transfer demand. A multi-objective optimization model is proposed, aiming at minimizing the total waiting time

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15

Fan, Zhun, Wenji Li, Xinye Cai, et al. "An improved epsilon constraint-handling method in MOEA/D for CMOPs with large infeasible regions." Soft Computing 23, no. 23 (2019): 12491–510. http://dx.doi.org/10.1007/s00500-019-03794-x.

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Du, Yawei, Lixin Xie, Jie Liu, Yuxin Wang, Yingjun Xu, and Shichang Wang. "Multi-objective optimization of reverse osmosis networks by lexicographic optimization and augmented epsilon constraint method." Desalination 333, no. 1 (2014): 66–81. http://dx.doi.org/10.1016/j.desal.2013.10.028.

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17

Khalilzadeh, Mohammad, Rose Balafshan, and Ashkan Hafezalkotob. "Multi-objective mathematical model based on fuzzy hybrid multi-criteria decision-making and FMEA approach for the risks of oil and gas projects." Journal of Engineering, Design and Technology 18, no. 6 (2020): 1997–2016. http://dx.doi.org/10.1108/jedt-01-2020-0020.

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Purpose The purpose of this study is to provide a comprehensive framework for analyzing risk factors in oil and gas projects. Design/methodology/approach This paper consists of several sections. In the first section, 19 common potential risks in the projects of Pars Oil and Gas Company were finalized in six groups using the Lawshe validation method. These factors were identified through previous literature review and interviews with experts. Then, using the “best-worst multi-criteria decision-making” method, the study measured the weights associated with the performance evaluation indicators o

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Herrero, J. M., G. Reynoso-Meza, M. Martínez, X. Blasco, and J. Sanchis. "A Smart-Distributed Pareto Front Using the ev-MOGA Evolutionary Algorithm." International Journal on Artificial Intelligence Tools 23, no. 02 (2014): 1450002. http://dx.doi.org/10.1142/s021821301450002x.

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Obtaining multi-objective optimization solutions with a small number of points smartly distributed along the Pareto front is a challenge. Optimization methods, such as the normalized normal constraint (NNC), propose the use of a filter to achieve a smart Pareto front distribution. The NCC optimization method presents several disadvantages related with the procedure itself, initial condition dependency, and computational burden. In this article, the epsilon-variable multi-objective genetic algorithm (ev-MOGA) is presented. This algorithm characterizes the Pareto front in a smart way and removes

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19

Abdelaziz, Fouad Ben, Mohamed Amer, and Hazim El-Baz. "An Epsilon Constraint Method for selecting Indicators for use in Neural Networks for Stock Market Forecasting." INFOR: Information Systems and Operational Research 52, no. 3 (2014): 116–25. http://dx.doi.org/10.3138/infor.52.3.116.

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Aghaei, J., N. Amjady, and H. A. Shayanfar. "Multi-objective electricity market clearing considering dynamic security by lexicographic optimization and augmented epsilon constraint method." Applied Soft Computing 11, no. 4 (2011): 3846–58. http://dx.doi.org/10.1016/j.asoc.2011.02.022.

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21

Devi, S. Prasanna, S. Manivannan, and K. Suryaprakasa Rao. "Comparison of nongradient methods with hybrid Taguchi-based epsilon constraint method for multiobjective optimization of cylindrical fin heat sink." International Journal of Advanced Manufacturing Technology 63, no. 9-12 (2012): 1081–94. http://dx.doi.org/10.1007/s00170-012-3985-7.

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22

Khalili-Damghani, Kaveh, Majid Nojavan, and Madjid Tavana. "Solving fuzzy Multidimensional Multiple-Choice Knapsack Problems: The multi-start Partial Bound Enumeration method versus the efficient epsilon-constraint method." Applied Soft Computing 13, no. 4 (2013): 1627–38. http://dx.doi.org/10.1016/j.asoc.2013.01.014.

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23

Lolagari, Hossein, Amir Daneshvar, Mahdi Madanchi Zaj, and Fereydon Rahnamay Roodposhti. "Sustainable Financing Model considering Project Risk." Discrete Dynamics in Nature and Society 2022 (September 7, 2022): 1–19. http://dx.doi.org/10.1155/2022/2838913.

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Implementing various projects in each country leads to the development of that country. The necessity of implementing any project is to finance that project through different methods. In this regard, the cost of financing projects, determining the amount of financing from each technique, and the risk of financing projects are among the things that have caused problems for managers and decision makers. This study presents a new sustainable financing model for international projects in Iran. The main objectives are to minimize the financing cost and risk of funding the projects. Based on the pro

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Wang, Wanqi, Yun Bao, and Sihui Long. "Rescheduling Urban Rail Transit Trains to Serve Passengers from Uncertain Delayed High-Speed Railway Trains." Sustainability 14, no. 9 (2022): 5718. http://dx.doi.org/10.3390/su14095718.

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This paper develops a multi-objective mixed-integer linear programming model for the problem of robust rescheduling for capacitated urban rail transit (URT) trains to serve passengers from delayed high-speed railway (HSR) trains. The capacity of each extra train is not assumed to be unlimited in this paper. Robust passenger assignment constraints are developed to ensure that delayed passengers can board the URT trains under different random delay scenarios of HSR operations. Robust dispatching constraints of URT trains are designed for a stable disrupting number of URT trains across different

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Taha, Ahmed, Mauricio Patón, David R. Penas, Julio R. Banga, and Jorge Rodríguez. "Optimal evaluation of energy yield and driving force in microbial metabolic pathway variants." PLOS Computational Biology 19, no. 7 (2023): e1011264. http://dx.doi.org/10.1371/journal.pcbi.1011264.

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This work presents a methodology to evaluate the bioenergetic feasibility of alternative metabolic pathways for a given microbial conversion, optimising their energy yield and driving forces as a function of the concentration of metabolic intermediates. The tool, based on thermodynamic principles and multi-objective optimisation, accounts for pathway variants in terms of different electron carriers, as well as energy conservation (proton translocating) reactions within the pathway. The method also accommodates other constraints, some of them non-linear, such as the balance of conserved moietie

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Villacrés, Ricardo, та Diego Carrión. "Optimizing Real and Reactive Power Dispatch Using a Multi-Objective Approach Combining the ϵ-Constraint Method and Fuzzy Satisfaction". Energies 16, № 24 (2023): 8034. http://dx.doi.org/10.3390/en16248034.

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Optimal power dispatch is essential to improve the power system’s safety, stability, and optimal operation. The present research proposes a multi-objective optimization methodology to solve the real and reactive power dispatch problem by minimizing the active power losses and generation costs based on mixed-integer nonlinear programming (MINLP) using the epsilon constraint method and fuzzy satisficing approach. The proposed methodology was tested on the IEEE 30-bus system, in which each objective function was modeled and simulated independently to verify the results with what is obtained via D

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Cao, Huizhuo, Xuemei Li, Vikrant Vaze, and Xueyan Li. "Multi-Objective Pricing Optimization for a High-Speed Rail Network Under Competition." Transportation Research Record: Journal of the Transportation Research Board 2673, no. 7 (2019): 215–26. http://dx.doi.org/10.1177/0361198119842817.

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Multi-objective pricing of high-speed rail (HSR) passenger fares becomes a challenge when the HSR operator needs to deal with multiple conflicting objectives. Although many studies have tackled the challenge of calculating the optimal fares over railway networks, none of them focused on characterizing the trade-offs between multiple objectives under multi-modal competition. We formulate the multi-objective HSR fare optimization problem over a linear network by introducing the epsilon-constraint method within a bi-level programming model and develop an iterative algorithm to solve this model. T

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Agnoletto, Elian J., Daniel Silva de Castro, Rodolpho V. A. Neves, Ricardo Quadros Machado, and Vilma A. Oliveira. "An Optimal Energy Management Technique Using the $\epsilon$ -Constraint Method for Grid-Tied and Stand-Alone Battery-Based Microgrids." IEEE Access 7 (2019): 165928–42. http://dx.doi.org/10.1109/access.2019.2954050.

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Felfel, Houssem, Omar Ayadi, and Faouzi Masmoudi. "Pareto Optimal Solution Selection for a Multi-Site Supply Chain Planning Problem Using the VIKOR and TOPSIS Methods." International Journal of Service Science, Management, Engineering, and Technology 8, no. 3 (2017): 21–39. http://dx.doi.org/10.4018/ijssmet.2017070102.

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In this paper, a multi-objective, multi-product, multi-period production and transportation planning problem in the context of a multi-site supply chain is proposed. The developed model attempts simultaneously to maximize the profit and to maximize the product quality level. The objective of this paper is to provide the decision maker with a front of Pareto optimal solutions and to help him to select the best Pareto solution. To do so, the epsilon-constraint method is adopted to generate the set of Pareto optimal solutions. Then, the technique for order preference by similarity to ideal soluti

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Dwijendra, Ngakan Ketut Acwin, Muhaned Zaidi, I. Gusti Ngurah Kerta Arsana, et al. "A Multi-Objective Optimization Approach of Smart Autonomous Electrical Grid with Active Consumers and Hydrogen Storage System." Environmental and Climate Technologies 26, no. 1 (2022): 1067–79. http://dx.doi.org/10.2478/rtuect-2022-0080.

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Abstract In this paper, a multi objective optimization approach is studied for optimal energy scheduling of the smart autonomous electrical grid with participation of active consumers (ACs) and hydrogen storage system (HSS). The objective functions consist of: 1) minimizing the costs and 2) maximizing reliability. The ACs participation are modelled through demand reduction approach based on offer price to peak demand management. The proposed optimization is solved by epsilon-constraint method and LINMAP decision making strategy. The 21-node test system is employed to analyse the efficiency of

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Khalilzadeh, Mohammad, Sayyid Ali Banihashemi, and Darko Božanić. "A Step-By-Step Hybrid Approach Based on Multi-Criteria Decision-Making Methods And A Bi-Objective Optimization Model To Project Risk Management." Decision Making: Applications in Management and Engineering 7, no. 1 (2024): 442–72. http://dx.doi.org/10.31181/dmame712024884.

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Project success and achieving project objectives and goals highly depend on effective and thorough risk management implementation. This study provides a comprehensive and practical methodology for project risk management. In this paper, firstly, the risks were collected by analyzing the historical documents and literature. Then, the collected risks were screened using brainstorming and categorized into five groups. Subsequently, a questionnaire was made and the identified risks were validated using the Fuzzy Delphi technique. Also, the relationships between risks were determined using the Inte

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Vaisi, Bahareh, Hiwa Farughi, and Sadigh Raissi. "Schedule-Allocate and Robust Sequencing in Three-Machine Robotic Cell under Breakdowns." Mathematical Problems in Engineering 2020 (October 30, 2020): 1–24. http://dx.doi.org/10.1155/2020/4597827.

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The purpose of this paper is to model two problems comprising schedule-allocate (in case of producing identical parts) and sequencing of parts (in case of producing different parts). The first model is used for minimizing the cycle time and operational cost, and the second one for minimizing both the mean and standard deviation of the total production cost as well the cycle time, in an unreliable three-machine robotic cell which confronted with many uncertainty factors. In the current article, mathematical modelling and simulation-based optimization method have been presented to schedule-alloc

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Bıçakcı, İsmail, Yusuf Tansel İç, Esra Karasakal, and Berna Dengiz. "A Multi-Objective Mathematical Model for Level of Repair Analysis with Lead Times and Multi-Transportation Modes." International Journal of Information Technology & Decision Making 21, no. 01 (2021): 423–40. http://dx.doi.org/10.1142/s0219622021500632.

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In the event of failure of the product, level of repair analysis (LORA) is used to determine (1) whether the defective component should be discarded or repaired and (2) where this repair is made. In the literature, these repair operations are made with the aim of minimizing the total life cycle cost of the product. In this paper, we develop a multi-objective decision model that minimizes both the repair time (affected by lead times) and the repair costs. Our proposed model also considers the movement of the defective components to be performed by multiple transportation modes such as highway,

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Dwijendra, Ngakan Ketut Acwin, Wongchai Anupong, Ahmed Majed Althahabi, et al. "Optimal Dispatch of the Energy Demand in Electrical Distribution Grid with Reserve Scheduling." Environmental and Climate Technologies 27, no. 1 (2023): 80–91. http://dx.doi.org/10.2478/rtuect-2023-0007.

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Abstract The operation of the electrical systems is a major problem for electrical companies’ subject to uncertainties threatening. In this study, the optimal management of the energy demand in the electrical distribution grid is done by interval optimization approach under electrical price uncertainty. The management of the energy demand is implemented via incentive-based modelling of the demand response programs (DRPs). The incentive-based modelling as reserve, and based on bid price for reduction of the electrical demand at peak hours is proposed. The interval optimization approach is used

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Li, Jiajia, Kaifeng Duan, Quanwei Xu, Xuefei Sun, Yanwei Zhang, and Changhua Hua. "Efficiency of tourism development in China’s major cities under the constraint of PM2.5." PLOS ONE 16, no. 8 (2021): e0255508. http://dx.doi.org/10.1371/journal.pone.0255508.

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Climate / weather factors are important factors for tourists to choose tourist destinations. With the public’s attention to the influence of haze, air quality will have a profound impact on the development of tourism in tourist destinations. Based on the Epsilon-based Measure (EBM) super-efficiency model and Global Malmquist–Luenberger index analysis method, this paper aims to study the tourism development efficiency of 58 major cities in China from 2001 to 2016 and analyse the total factor productivity in the development of urban tourism and the changing driving factors in consideration of th

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Praneetpholkrang, Panchalee, and Sarunya Kanjanawattana. "A Novel Approach for Determining Shelter Location-Allocation in Humanitarian Relief Logistics." International Journal of Knowledge and Systems Science 12, no. 2 (2021): 52–68. http://dx.doi.org/10.4018/ijkss.2021040104.

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This study proposes a methodology that integrates the epsilon constraint method (EC) and artificial neural network (ANN) to determine shelter location-allocation. Since shelter location-allocation is a critical part of disaster response stage, fast decision-making is very important. A multi-objective optimization model is formulated to simultaneously minimize total cost and minimize total evacuation time. The proposed model is solved by EC because it generates the optimal solutions without intervention of decision-makers during the solution process. However, EC requires intensive computational

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Mavalizadeh, Hani, Abdollah Ahmadi, and H. A. Shayanfar. "Corrigendum to “Hybrid expansion planning considering security and emission by augmented epsilon-constraint method” [Int. J. Electr. Power Energy Syst. 61 (2014) 90–100]." International Journal of Electrical Power & Energy Systems 83 (December 2016): 601. http://dx.doi.org/10.1016/j.ijepes.2016.06.009.

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Nouri, Alireza, Hossein Khodaei, Ayda Darvishan, Seyedmehdi Sharifian, and Noradin Ghadimi. "RETRACTED: Optimal performance of fuel cell-CHP-battery based micro-grid under real-time energy management: An epsilon constraint method and fuzzy satisfying approach." Energy 159 (September 2018): 121–33. http://dx.doi.org/10.1016/j.energy.2018.06.141.

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Arab Momeni, Mojtaba, Vipul Jain, and Mehdi Bagheri. "A Multi-Objective Model for Designing a Sustainable Closed-Loop Supply Chain Logistics Network." Logistics 8, no. 1 (2024): 29. http://dx.doi.org/10.3390/logistics8010029.

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Background: The growing concern for environmental and social issues has led to a focus on designing sustainable supply chains and increasing industrial responsibility towards society. In this paper, a multi-objective mixed-integer programming model is presented for designing a sustainable closed-loop supply chain. The model is aimed at the minimization of the total cost with the total used facilities, the negative environmental impacts, and the maximization of the positive social impacts. Methods: The epsilon-constraint method is utilized for solving the model and further extracting the Pareto

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Daoud, Malika. "Role of combinatorial optimization problems for the efficient decision making of a company- Case study-." les cahiers du cread 39, no. 3 (2024): 275–301. http://dx.doi.org/10.4314/cread.v39i3.11.

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All company seeks to improve their performance through achieving several objectives to stay in the labor market and increase competitiveness. The problem lies in the fact that it often relies on traditional methods for efficient decision-making, causing a waste of time and effort. The paper aims to find the best car service stations among several proposed stations by the Naftal Company, which seeks to achieve the two most important objectives; maximizing lubricants and tires revenues, and maximizing fuel and LPG revenues for the year 2019. The new applied case study was done with the help of t

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Arango González, Daniela S., Elias Olivares-Benitez, and Pablo A. Miranda. "Insular Biobjective Routing with Environmental Considerations for a Solid Waste Collection System in Southern Chile." Advances in Operations Research 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/4093689.

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This paper presents a biobjective problem for a solid waste collection system in a set of islands in southern Chile. The first objective minimizes transportation cost and the second one reduces the environmental impact caused by the accumulation of solid waste at the collection points. To solve this problem, biobjective mixed integer linear programming is used. In the model, an itinerary scheme is considered for the visit to the islands. The model decides which collection points are visited per island, the collection pattern, and quantity of solid waste to be collected at each site. The quanti

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Shafiee Moghadam, Shayan, Amir Aghsami, and Masoud Rabbani. "A hybrid NSGA-II algorithm for the closed-loop supply chain network design in e-commerce." RAIRO - Operations Research 55, no. 3 (2021): 1643–74. http://dx.doi.org/10.1051/ro/2021068.

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Designing the supply chain network is one of the significant areas in e-commerce business management. This concept plays a crucial role in e-commerce systems. For example, location-inventory-pricing-routing of an e-commerce supply chain is considered a crucial issue in this field. This field established many severe challenges in the modern world, like maintaining the supply chain for returned items, preserving customers’ trust and satisfaction, and developing an applicable supply chain with cost considerations. The research proposes a multi-objective mixed integer nonlinear programming model t

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Nadeem, Diallo, Nguyen-Quang, Venkatadri, and Havard. "Optimizing a Bi-Objective Mathematical Model for Minimizing Spraying Time and Drift Proportion." AgriEngineering 1, no. 3 (2019): 418–33. http://dx.doi.org/10.3390/agriengineering1030031.

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The global agriculture sector faces many challenges in its mission to meet the increasing demand for food and fiber. Climate change, increasing population growth, emergence of crop diseases, damage to crops from rodents and critters, and shrinking farming land in some regions are among these challenges. Application of agrochemicals has proven to be an efficient answer to some of these challenges. However, the impacts of these products on human health and the environment combined with the increased requirement for sustainable farming requires the development of optimal spraying practices that w

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Dastani, Mehdi, Sayyed Mohammad Reza Davoodi, Mehdi Karbassian, and Shahram Moeini. "Developing a Mathematical Model for a Green Closed-Loop Supply Chain with a Multi-Objective Gray Wolf Optimization Algorithm." Foundations of Computing and Decision Sciences 47, no. 2 (2022): 127–50. http://dx.doi.org/10.2478/fcds-2022-0007.

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Abstract Intense competition in today’s market and quick change in customer preferences, along with the rapid development of technology and globalization, have forced companies to work as members of a supply chain instead of individual companies. The success of the supply chain depends on the integration and coordination of all its institutions to form an efficient network structure. An efficient network leads to cost savings throughout the supply chain and helps it respond to customer needs faster. Accordingly, and with respect to the importance of the supply chain, in this study a developed

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Soon, Amirhossein, Ali Heidari, Mohammad Khalilzadeh, Jurgita Antucheviciene, Edmundas Kazimieras Zavadskas, and Farbod Zahedi. "Multi-Objective Sustainable Closed-Loop Supply Chain Network Design Considering Multiple Products with Different Quality Levels." Systems 10, no. 4 (2022): 94. http://dx.doi.org/10.3390/systems10040094.

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International laws and increasing consumer awareness have led to drastic changes in traditional supply chain network designs. Moreover, because of environmental and social requirements, traditional supply chain networks have changed to sustainable supply chain networks. On the other hand, reverse logistics can be effective in terms of environmental and economic aspects, so the design of the supply chain network as a closed loop is necessary. In addition, customers have a demand for different products with different quality levels. Considering different types of customers with a variety of cons

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Majumder, Saibal, Partha Sarathi Barma, Arindam Biswas, et al. "On Multi-Objective Minimum Spanning Tree Problem under Uncertain Paradigm." Symmetry 14, no. 1 (2022): 106. http://dx.doi.org/10.3390/sym14010106.

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Minimum spanning tree problem (MSTP) has allured many researchers and practitioners due to its varied range of applications in real world scenarios. Modelling these applications involves the incorporation of indeterminate phenomena based on their subjective estimations. Such phenomena can be represented rationally using uncertainty theory. Being a more realistic variant of MSTP, in this article, based on the principles of the uncertainty theory, we have studied a multi-objective minimum spanning tree problem (MMSTP) with indeterminate problem parameters. Subsequently, two uncertain programming

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Cao, Zhichao, Yuqing Wang, Zihao Yang, Changjun Chen, and Silin Zhang. "Timetable Rescheduling Using Skip-Stop Strategy for Sustainable Urban Rail Transit." Sustainability 15, no. 19 (2023): 14511. http://dx.doi.org/10.3390/su151914511.

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Unanticipated events inevitably occur in daily urban rail transit operations, disturbing the scheduled timetable. Despite the mild delay, the busy operation system probably tends to worsen a larger disturbance and even lead to a knock-on disruption if no rescheduling is timely carried out. We propose a bi-objective mixed-integer linear programming model (MILP) that employs the skip-stop operation strategy to eliminate unscheduled delays. This model addresses two distinct, yet interconnected objectives. Firstly, it aims to minimize the difference between the plan and the actual operation. Secon

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Keshavarz Ziarani, Hasan, Seyed Hossein Hosseinian, and Ahmad Fakharian. "Providing a New Multiobjective Two-Layer Approach for Developing Service Restoration of a Smart Distribution System by Islanding of Faulty Area." International Transactions on Electrical Energy Systems 2024 (January 2, 2024): 1–14. http://dx.doi.org/10.1155/2024/9687002.

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One of the essential capabilities of a smart distribution network is to improve network restoration performance using the postfault islanding method. Islanding of the faulty area can be done offline and online. Online islanding will decrease load shedding and operation cost. In this study, a novel two-step mathematical method for system restoration after the fault is presented. A new mathematical model for the optimal arrangement of the system for the faulty area in the first layer is proposed. In this layer, the main objective is to decrease the distribution system’s load shedding and operati

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Liu, Xuemin, Guozhong Huang, Shengnan Ou, et al. "Biobjective Optimization Model Considering Risk and Profit for the Multienterprise Layout Design in Village-Level Industrial Parks in China." Sustainability 15, no. 4 (2023): 3623. http://dx.doi.org/10.3390/su15043623.

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With the advent and development of Industry 4.0 and 5.0, manufacturing modes have changed and numerous newly complicated and integrated village-level industrial parks have emerged in the Southeast of China, where several enterprises are gathered in the same multistory building. The number of floors and surrounding enterprises can have an impact on accident risk. To reduce the overall risk level of industrial parks, the layout of enterprises with different risks needs to be well designed and optimized. However, to date, limited studies have been conducted to emphatically consider safety and opt

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Lu, Hanyu, and Lufei Huang. "Optimization of Shore Power Deployment in Green Ports Considering Government Subsidies." Sustainability 13, no. 4 (2021): 1640. http://dx.doi.org/10.3390/su13041640.

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Shipping trade and port operations are two of the primary sources of greenhouse gas emissions. The emission of air pollutants brings severe problems to the marine environment and coastal residents’ lives. Shore power technology is an efficient CO2 emission reduction program, but it faces sizeable initial investment and high electricity prices. For shipping companies, energy such as low-sulfur fuels and liquefied natural gas has become an essential supplementary means to meet emission reduction requirements. This research considers the impact of government subsidies on port shore power construc

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