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Convergence analysis of a generalized proximal algorithm for multiobjective quasiconvex minimization on Hadamard manifolds

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OPTIMIZATION 2024年第9期73卷 2819-2844页

作者： Papa Quiroz, E. A. Papa Baygorrea, N. Maculan, N. Univ Fed Goias Univ Nacl Mayor San Marcos Univ Privada Norte Peru & Brazil Goiania Lima Peru Univ Federalde Goias Lima Peru Univ Fed Goias Goiania Brazil Ctr Mineral Technol Rio De Janeiro Brazil Fed Univ Rio Janeiro Rio De Janeiro Brazil

In this paper, we introduce a generalized inexact scalarized proximal point algorithm to find Pareto-Clarke critical points and Pareto efficient solutions of quasiconvex multivalued functions defined on Hadamard manifolds considering vectorial and scalar errors to find a critical point of the regularized proximal function in each iteration. Under some assumptions on the problem, we obtain the global convergence of the sequence to a Pareto-Clarke critical point and assuming an extra condition on the proximal parameters we establish convergence to a Pareto efficient solution, approximately linear/superlinear rate of convergence and finite termination of the algorithm. In the convex case, we prove the convergence to a Pareto efficient solution point (more than a weak Pareto efficient solution point). The results of the paper are new even in the Euclidean space.

关键词： Proximal point method quasiconvex function Hadamard manifolds multiobjective programming Pareto-Clarke critical Clarke subdifferential >

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Rice irrigation water efficiency improvement: An AquaCrop-based optimization modeling approach

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EUROPEAN JOURNAL OF AGRONOMY 2023年第1期148卷

作者： Tang, Peixi Li, Nan Li, Mo Zhang, Fan Fu, Qiang Xu, Yaowen Liu, Dong Northeast Agr Univ Sch Water Conservancy & Civil Engn Harbin 150030 Heilongjiang Peoples R China China Water Exchange Beijing 100053 Peoples R China Northeast Agr Univ Key Lab Effect Utilizat Agr Water Resources Minist Agr Harbin 150030 Heilongjiang Peoples R China Natl Key Lab Smart Technol & Syst Harbin 150030 Heilongjiang Peoples R China Beijing Forestry Univ Sch Soil & Water Conservat Beijing 100091 Peoples R China Northeast Agr Univ Heilongjiang Prov Key Lab Water Resources & Water Harbin 150030 Heilongjiang Peoples R China

Rice is the cereal crop that consumes the largest amount of water in the world. To improve the water use efficiency of rice farming and promote the sustainable development of rice production, this study proposes a novel AquaCrop-based optimization modeling approach. First, an AquaCrop-based multiobjective model is constructed to generate dynamic water production functions (WPFs). The NSGA-II algorithm is employed to solve the model, and quadratic dynamic WPFs for rice under different hydrological years (wet, normal and dry) are generated based on the obtained Pareto fronts, which can improve the modeling efficiency and help reflect the complicated reality of water flows. Second, a fuzzy credibility-constrained stochastic multiobjective programming (FCCSMOP) model is developed for irrigation water allocation based on the acquired WPFs. The model addresses the randomness of precipitation and runoff, the fuzziness of decision-makers' preferences, and conflicting objectives of water savings, benefit increments, and water demand during the critical period of rice growth. The proposed simulation-optimization approach was applied to the Changgang irrigation district in northeast China. Optimal irrigation amounts under different decision-making preference scenarios (including conservative, moderate and positive) and different hydrological years were simultaneously generated. The following conclusions can be drawn: (1) The AquaCrop-based multiobjective method is capable of generating WPFs of different hydrological years with sparse discontinuous field experiments;(2) the decision-making preferences of decision-makers significantly impact the economic benefits, water use efficiency, and practicality of schemes;and (3) the FCCSMOP model successfully makes tradeoffs among the three objectives under multiple uncertainties and can further improve the system efficiency and increase planting income in the Changgang irrigation district when its irrigation facilities become optimal.

关键词： AquaCrop multiobjective programming Simulation -optimization Fuzzy credibility -constrained programming Stochastic programming Rice irrigation schedule planning

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Investigation on the Optimization Problem for the Chinese Higher Education Planning

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IFAC Proceedings Volumes 1987年第9期20卷 639-643页

作者： Liu Bao Han Wenxiu Lu Ming Institute of Systems Engineering Tianjin University Tianjin PRC

In this paper, the optimization problem of higher education planning in China is investigated. The present state and internal relation of the Chinese higher education system are analyzed. Meeting the demand of society for the graduates in various specialities and minimizing the total investment in the planning period are taken as the objective of the developing plan for the Chinese higher education system. A multiobjective programming optimization model for Chinese higher education planning is built. The method of linear weighted sum is used to deal with the multiobjective programming. The Analytic Hierarchy Process is applied to determine the weighting coefficients for different objective and the deviation variables of supply and demand for various specialized manpower. The decomposition - coordination method for large system is introduced to solve the problem in calculating the Chinese higher education programming optimization model. Taking each speciality as a subsystem, the model is solved by two levels optimizing and coordinating interation. The model can be used to calculate the optimal valve of the students admitted to and graduate from each speciality of the Chinese higher education institutions every year under various investment programs.

关键词： higher education optimization multiobjective programming decomposition and coordination specialized manpower

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Water Resources Management of a Watershed in Algarve

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IFAC Proceedings Volumes 1985年第14期18卷 135-138页

作者： A.S. Câmara A.P.N. Amaro J.P.A. Fernandes M.G. Viegas New University of Lisbon 2825 Monte da Caparica Portugal Technical University of Lisbon Lisbon Portugal University of Évora Évora Portugal Ministry of the Quality of Life Lisbon Portugal

This paper introduces a model developed to provide a rational framework for water resources management of a watershed in Algarve - the Guadiana basin. The model is basically a system dynamics model interfaced with multiobjective programming formulations. The definition of water supply and demand sectors is an essential component of the model which attempts to provide a tool to evaluate the effects of different strategies controlling water supply and demand upon a set of impact variables. The model was run using a simulation period of 10 years.

关键词： Guadiana basin water resources management system dynamics multiobjective programming

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A Method of Integrating System Decomposition, Coordination and Incentive Control for Resource Allocation

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IFAC Proceedings Volumes 1992年第18期25卷 87-91页

作者： Yongheng Shi School of Management Beijing University of Aeronautics and Astronautics Beijing 100083 PRC

There are one leader Decision Maker (DM) and several follower DMs in the resource allocation problem. In order to solve the resource allocation problem, this paper presents a method of integrating system decomposition, coordination and incentive control. An algorithm of piecewise linearization is presented to find allocation solusion. The Contract Mechanism (CM) is designed as the incentive strategy to induce follower DMs to tell the truth. The CM not only is ε-inducible for true information, but also encourages follower DMs to work hard.

关键词： decomposition incentive control resource allocation multiobjective programming

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Multiperiod Fuzzy Portfolio Selection Optimization Model Based on Possibility Theory

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INTERNATIONAL JOURNAL OF INFORMATION TECHNOLOGY & DECISION MAKING 2018年第3期17卷 941-968页

作者： Liu, Yong-Jun Zhang, Wei-Guo South China Univ Technol Sch Business Adm Guangzhou 510641 Guangdong Peoples R China

Using the central value operator and the semi-dispersion measure of fuzzy number, this paper proposes the definitions of the lower and upper semi-variances. A general multiperiod fuzzy portfolio optimization model with return demand on the portfolio at each period is proposed with the objectives of maximizing both terminal wealth and the cumulative diversification degree of portfolios over the whole investment horizon, and minimizing terminal risk. A fuzzy multiobjective nonlinear programming technique is applied to convert the proposed model into a single-objective model. A genetic algorithm (GA) is given to solve it. Besides, a numerical example is given to illustrate the application of the proposed model and the effectiveness of the designed algorithm.

关键词： Multiperiod portfolio selection possibility theory central value operator entropy multiobjective programming

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Kuhn-tucker conditions and preda duality for multiobjective mathematical programs with n-SET functions

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UPB Scientific Bulletin, Series A: Applied Mathematics and Physics 2002年第4期64卷 3-16页

作者： Mititelu, S. Department of Mathematics Technical University of Civil Engineering Bucharest Romania

The paper has two main objectives. First, one establish efficiency conditions of Kuhn-Tucker type (with equality in the main constraint) for multiobjective mathematical programs, generated by n-set functions. Second, it is showed that a duality, introduced by Preda in 1999, under the name of "generalized Wolfe duality" has an autonomous character in nonlinear programming. Moreover, weak, direct and converse duality theorems in Preda sense for above mentioned programs are establish.

关键词： Efficient solution Finite atomless measure space Lebesgue integrable functions multiobjective programming Set function

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Planning and Design of Mobile Communication Network Site

International Core Journal of Engineering

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International Core Journal of Engineering 2022年第7期8卷 39-43页

作者： Zirui Zhao Junshuo Zhang Zhanhao Hu

With the rapid development of mobile communication technology and the continuous expansion of operation scale, the communication network becomes more and more complex. How to reasonably plan the location of base stations according to the existing weak coverage points has always been a difficult problem. By establishing a mathematical model and using the method of computer simulation, this paper optimizes the selection of station site and regional division. Considering that the establishment of the base station should meet that 90% of the traffic of the weak coverage points should be covered by the planned base station, and considering the loss and construction cost caused by repeated coverage, this paper takes the minimum total construction cost and the minimum repeated coverage as the optimization goal, and establishes a multi-objective programming model under the condition of meeting the priority coverage of the weak coverage points with high traffic, The corresponding solutions for station location selection and area division are given by using the method of computer simulation.

关键词： Site Selection multiobjective programming Mobile Communication

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multiobjective RESERVOIR OPERATION INCLUDING TURBIDITY CONTROL

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WATER RESOURCES BULLETIN 1992年第1期28卷 223-231页

作者： IKEBUCHI, S KOJIRI, T GIFU UNIV FAC ENGNGIFU 50111JAPAN

The operational problems of a reservoir are expressed by three coordinates: space, time stage, and objective. The operational procedure is formulated using dynamic programming as a multi-objective problem. After comparing the scalar and the vector optimization, the scalar optimization technique is applied to turbidity analysis in a reservoir.

关键词： RESERVOIR OPERATION DYNAMIC programming multiobjective programming TURBIDITY ANALYSIS

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Efficiency of secondary schools in Portugal: A novel DEA hybrid approach

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SOCIO-ECONOMIC PLANNING SCIENCES 2021年 74卷 100954-100954页

作者： Henriques, C. O. Marcenaro-Gutierrez, O. D. Polytech Inst Coimbra ISCAC Coimbra Business Sch Quinta Agr P-3040316 Coimbra Portugal Univ Coimbra INESC Coimbra DEEC Polo 2 P-3030290 Coimbra Portugal Univ Malaga PhD Programme Econ & Business Malaga Spain Univ Malaga Dept Appl Econ Stat & Econometr C Ejido 6 Malaga 629071 Spain

This paper is aimed at casting new light on the assessment of secondary schools' performance in Portugal by considering data from the Programme for International Student Assessment 2015. We use the Weighted Russel Directional Distance approach and establish an equivalence model between this Data Envelopment Analysis model and the super-ideal point model, which is then combined with an interactive algorithm. Besides, a procedure to perform robustness analysis has been proposed, allowing decision-makers to understand how sensitive the efficiency of each school to data variation is. Overall, our findings suggest that the average efficient public school has mean scores across all competences above the scores attained by the average public national school, but below the OECD average. In addition, we have concluded that schools operating with the lowest efficiency scores usually need to make a greater effort to improve results in reading when compared to maths and science competences. Finally, schools more often selected as a reference in terms of best practices and which are classified as robust in terms of efficiency are not necessarily performing with high test results, highlighting the need of seeking new benchmarks more consistent with the preferences of the decision-maker.

关键词： Data envelopment analysis Weighted russell directional distance model multiobjective programming Reference point approach Portuguese secondary schools

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