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Using the descent direction in a method of centres algorithm for solving multi-objective programming problems

ENGINEERING OPTIMIZATION 2025年

作者： Dehmiry, A. H. Yaghoobi, M. A. Vali E Asr Univ Rafsanjan Dept Math Rafsanjan Iran Shahid Bahonar Univ Kerman Dept Appl Math Kerman Iran

Interior-point methods, particularly the cutting-plane strategy, have emerged as interesting techniques in optimization. The main idea of the cutting-plane method is to cut off parts of the feasible set and shrink it by removing the points where optimality is surely not attained. The aim of this study is to improve the convergence speed of a newly developed modified cutting-plane method for multi-objective optimization problems. The effectiveness of the proposed approach is emphasized by its ability rapidly to shrink the feasible space, strengthen the optimal solution search method, and at the same time minimize the computational overhead. Additionally, it is demonstrated that the method is capable of achieving well-distributed efficient solutions on the efficient frontier by purposefully assigning weight vectors. The experimental analysis carried out confirms the effectiveness of the suggested method and offers a new promising perspective for addressing multi-objective optimization challenges.

关键词： multi-objective programming cutting-plane method method of centres weighted analytic centre

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Research on multi-objective programming Model of Profits and Carbon Emission Reduction in Manufacturing Industry

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ENERGIES 2025年第6期18卷 1411-1411页

作者： Tsai, Wen-Hsien Wu, Yi-Han Natl Cent Univ Dept Business Adm Taoyuan 320 Taiwan

As the issue of global climate change becomes increasingly severe, governments worldwide have implemented carbon reduction policies, such as carbon taxes and industrial low-carbon transitions, to effectively control total carbon emissions. This study applies a multi-objective programming approach and uses the plastic raw material manufacturing process in the petrochemical industry as an example to explore how companies can balance profit maximization with minimizing production-related carbon emissions. By integrating Activity-Based Costing (ABC) and the Theory of Constraints (TOC), this study develops a production decision-making model and employs the epsilon-constraint method to impose carbon emission constraints, analyzing the resulting changes in corporate profitability. The model considers three different policy scenarios: basic carbon tax costs (including the use of renewable energy), continuous incremental progressive carbon tax costs, and discontinuous incremental progressive carbon tax costs. The results indicate that adopting renewable energy effectively reduces carbon emissions during production, while the discontinuous incremental carbon tax model provides better control over emissions. Under different carbon emission constraints, significant variations in optimal profits and production volumes are observed across the models, offering valuable insights for governments and enterprises in formulating carbon reduction strategies.

关键词： multi-objective programming epsilon-constraint method carbon emissions carbon tax activity-based costing (ABC) theory of constraints petrochemical industry

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Machine learning techniques and multi-objective programming to select the best suppliers and determine the orders

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MACHINE LEARNING WITH APPLICATIONS 2025年 19卷

作者： ul Husna, Asma Amin, Saman Hassanzadeh Ghasempoor, Ahmad Toronto Metropolitan Univ Dept Mech Ind & Mechatron Engn Toronto ON Canada

Selection of appropriate suppliers and allocation the orders among them have become the two key strategic decisions regarding purchasing. In this study, a two-phase integrated approach is proposed for solving supplier selection and order allocation problems. Phase 1 contains four techniques from statistics and Machine Learning (ML), including Auto-Regressive Integrated Moving Average, Random Forest, Gradient Boosting Regression, and Long Short-term Memory for forecasting the demands, using large amounts of real historical data. In Phase 2, suppliers' qualitative weights are determined by a fuzzy logic model. Then, a new multi-objective programming model is designed, considering multiple periods and products. In this phase, the results of Phase 1 and the results of the fuzzy model are utilized as inputs for the multi-objective model. The weighted-sum method is applied for solving the multi-objective model. The results show Random Forest model leads to more accurate predictions than the other examined models in this study. In addition, based on the results, the selection of the forecasting techniques and different weights of suppliers affect both supplier selection and the related orders.

关键词： Supplier selection Order allocation Machine learning multi-objective programming Purchasing Optimization

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Improved semi-infinite interval type-2 fuzzy multi-objective programming with integrated multi-criteria decision analysis for sustainable water resource management

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JOURNAL OF WATER PROCESS ENGINEERING 2025年 73卷

作者： Zhang, Xi Jin, Lei Fan, Yurui Wang, Li Liu, Jing Gao, Pangpang Xiamen Univ Technol Coll Environm Sci & Engn Xiamen 361024 Fujian Peoples R China Brunel Univ London Dept Civil & Environm Engn Uxbridge UB8 3PH Middx England Xiamen Univ Technol Coll Math & Stat Xiamen 361024 Fujian Peoples R China

Water shortages and supply pressures due to the special geographical environment pose significant challenges to the social and economic development of the Minjiang River Basin in Fujian Province, China. This study introduced a semi-infinite interval type-2 fuzzy multi-objective programming (SIIT2F-MOP) model to optimize the water resource system under conditions of uncertainty. Additionally, a novel multi-criteria decision analysis (MCDA) method, integrating the interval-based technique for order of preference by similarity to ideal solution (ITOPSIS), was developed to analyze and evaluate water allocation results using interval data instead of specific values. The SIIT2F-MOP model combines semi-infinite programming, multi-objective optimization, and interval type-2 fuzzy sets to address uncertainties and resolve conflicts among multiple decision-makers in water resource management. The innovations and contributions of this study are as follows: (i) prioritizing the restructuring of secondary industries while advancing manufacturing and modern service sectors can promote economic development and mitigate water shortages, and net system benefits increased by 7.2 %;(ii) evaluation of water allocation options using the ITOPSIS method demonstrates that industrial benefits account for 53.8 % of the optimal scenario;and (iii) the proposed model facilitates dynamic analysis of economic efficiency, equity in water distribution, and water scarcity within the water resource system. By integrating advanced optimization and decision-making techniques, this study contributes to sustainable resource management and supports risk control in the face of growing water demand.

关键词： Interval type-2 fuzzy Semi-infinite programming multi-objective programming MCDA Risk control Water resources management

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multi-objective programming for economy-energy-environment system and policy mix with dual constraints of carbon emission and water consumption based on multi-scenario analysis

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ENERGY REPORTS 2022年 8卷 7884-7891页

作者： Fu Zhenghui Zhang Yang He Shanshan Wang Han Jiang Xia Wang Shuhang Chinese Res Inst Environm Sci State Environm Protect Key Lab Lake Pollut Contro Natl Engn Lab Lake Pollut Control & Ecol Restorat Beijing 100012 Peoples R China Peking Univ Coll Environm Sci & Engn Beijing 100871 Peoples R China Sino Japan Friendship Ctr Environm Protect Beijing 100029 Peoples R China Chinese Res Inst Environm Sci State Key Lab Environm Criteria & Risk Assessment Beijing 100012 Peoples R China

Balancing the tradeoff between economy, energy, environment, water resources and carbon emissions has become the major challenge for sustainable development. In this study, a fuzzy multi-objective method is developed by integrating multi-objective programming, fuzzy linear programming and multiple scenarios. The developed approach can tackle multiple uncertainties and complexities existing in economy-energy-environment system, random carbon dioxide emission and water consumption control policies mix. Results disclose that (1) policy orientation and carbon emission control policy can achieve both carbon and water resource control goals, and water resource control policies are relatively unnecessary;(2) the tertiary sector will become the leading industry, accounting for more than three quarters of the total output value, the construction industry will also overgrow, and the proportion of the manufacturing industry will drop significantly;(3) coal still dominates in the energy production and total quantity consumed, and petroleum consumption will fall, coal accounts for about 75 percent of total energy consumption and electricity for about 15 percent;(4) according to different sources, carbon dioxide emissions are mainly from coal and electricity utilization. Coal's contribution gradually rose to 65 percent, while electricity dropped from 35 percent to 30 percent. For each industry, the mining industry, the electricity industry and the tertiary sector are the primary sources. (5) the sulfur dioxide control policy and carbon dioxide control policy has a strong correlation, and nitrogen oxide control policies have a specific correlation with them. The water resource control policy and particulate matter control policy are relatively independent. (C) 2022 Published by Elsevier Ltd.

关键词： multi-objective programming Economy-energy-environment system Carbon dioxide emission Water resource Uncertainty

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multi-objective programming FOR AIRPORT GATE REASSIGNMENT

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Transactions of Nanjing University of Aeronautics and Astronautics 2013年第2期30卷 209-215页

作者：李军会陈欣朱金福 College of Economics and Management Nanjing University of Aeronautics and Astronautics Guangdong Airport Management Company Traffic College Southeast University

To improve the efficiency of gate reassignment and optimize the plan of gate reassignment,the concept of disruption management is introduced,and a multi-objective programming model for airport gate reassignment is *** the interests of passengers and the airport,the model minimizes the total flight delay,the total passengers′walking distance and the number of flights reassigned to other gates different from the planned *** to the characteristics of the gate reassignment,the model is *** the multi-objective programming model is hard to reach the optimal solutions simultaneously,a threshold of satisfactory solutions of the model is *** a simulated annealing algorithm is designed for the *** studies show that the model decreases the total flight delay to the satisfactory solutions,and minimizes the total passengers′walking *** least change of planned assignment is also *** results achieve the goals of disruption ***,the model is verified to be effective.

关键词： gate assignment multi-objective programming simulated annealing algorithm disruption management

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multi-objective programming for optimal DG integration in active distribution systems

Multi-objective programming for optimal DG integration in ac...

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IEEE-Power-and-Energy-Society General Meeting

作者： Pilo, F. Celli, G. Mocci, S. Soma, G. G. Dept Elect & Elect Engn Cagliari Italy

ISBN: (纸本)9781424483570

Active distribution networks have the capability to allow the distributed energy resources integration at reasonable costs, opening new business opportunities. Although the sharing of responsibility among the system stakeholders (e.g., the Civil Society, the DSO and DER owners) is essential, undeniably they pursue different, and sometimes opposite goals. The authors, by adopting multi objective programming to simulate the behavior of the stakeholders, aim at assessing how the system players will drive the distribution evolution under the influence of different regulatory environments. All the scenarios have been analyzed on a case study representative of a typical distribution system. The results presented can help Regulators to define a fairer asset and performance based distribution revenue.

关键词： Distributed Generation Active Distribution Systems Distributed Energy Resources multi-objective programming

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multi-objective programming for Distributed Power Access Incremental Distribution Network 7

Multi-objective Programming for Distributed Power Access Inc...

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7th IEEE International Conference on Computer Science and Network Technology (ICCSNT)

作者： Yao, Jiachen Ning, Liang Jing, Chen Cao, Cui Zhou, Enzhe Zhang, Lun Wang, Lei State Grid Jibei Elect Power Co Ltd Chengde Power Supply Co Chengde 067000 Peoples R China State Grid Jibei Elect Power Co Ltd Tangshan Power Supply Co Tangshan 063000 Peoples R China North China Elect Power Univ Dept Automat Baoding 071000 Peoples R China

ISBN: (纸本)9781728132990

Distributed power access has a significant impact on economy and security of incremental distribution network. In this paper, economy and security are taken as the optimization goal, the constraints such as power balance and voltage deviation are constructed, and the multi-objective programming model of distributed power supply access capacity is established considering the different output scenarios of distributed power supply, and the Pareto optimal solution set is obtained by using non-dominant sequencing genetic algorithm. The validity of the proposed method is verified based on the analysis of the IEEE33 node model.

关键词： incremental power distribution network distributed power supply multi-objective programming non-dominant sequencing genetic algorithm

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multi-objective programming and Time Optimal Algorithm Research

Multi-Objective Programming and Time Optimal Algorithm Resea...

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3rd International Conference on Materials Science and Engineering (ICMSE 2014)

作者： Yang, Chenghui Northwest Univ Nationalities Coll Elect Engn Lanzhou Peoples R China

ISBN: (纸本)9783037859520

As the elevator group control system of airport logistics has the characteristics of multi-objective, non-linearity, uncertainty, disturbances and incomplete information and so on, to improve the service quality and operational efficiency of elevator group control system, we created a more comprehensive performance evaluation index function. We used the algorithm called multi-objective optimization, which can reduce the time passengers waiting for the ladder, avoid crowding, and use less energy. According to different demands, select different optimal combination, to meet passengers' demands as possible as we can. With the use of computer simulation technology, we obtained the simulation results, and proof the feasibility and superiority of this algorithm.

关键词： airport logistics elevator group scheduling time optimal multi-objective programming computer simulation

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multi-objective programming MODEL OF TROPICAL CROPS IN HAINAN ISLAND

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Journal of Geographical Sciences 1994年第Z1期4卷 48-60页

作者： Zhou Zhaode(Department of Cultivation,South China College of Tropical Crops, Chanxian, Hainan 571700People’s Republic of China)Zheng Jianfei(Department of Agrometeorology,Bejing Agricultural University, Bejing 100094People’s Repulblic of China)

According to Hainan Island's biological characteristics, and existing structure of productivity of tropical crops and local climatic conditions, this paper carries on regional division of tropical crops by fuzzy mathematics. Based on calculation of basic parameters for tl1e formation of production, near-tem optimum models of tropical crops structure of each region was established by means of multi-objective programming, and a far-term grey programming model was set up through the above-mentioned near-term model and prediction of future parameters. Conclusion shows that the near-term programming may raise the profit by 5. 1-55.7 percent and far-tem programming by 54-90 percent, both gainingobvious economic benefits.

关键词： Hainan Island tropical crops multi-objective programming

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