In this paper, new classes of generalized convex functions are introduced for non-smooth multi -objectiveprogramming problem, mixed type dual problem is established, weak, strong duality theorems are derived under ne...
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ISBN:
(纸本)9781509048403
In this paper, new classes of generalized convex functions are introduced for non-smooth multi -objectiveprogramming problem, mixed type dual problem is established, weak, strong duality theorems are derived under new convexity.
The expected rate of earnings and risk of high-tech projects are very fuzzy, and investors hope to get the expected rate of earnings maximization and risk minimization. Therefore, this paper establishes the model of f...
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ISBN:
(纸本)9783037850978
The expected rate of earnings and risk of high-tech projects are very fuzzy, and investors hope to get the expected rate of earnings maximization and risk minimization. Therefore, this paper establishes the model of fuzzy multi-objective programming method to select an optimal portfolio scheme. On the one hand, the objectives risk can be scattered, on the other hand investors can get ideal earnings. The example shows that this method to solve problems of portfolio investment decision is feasible and effective.
A continuous control system can be discretized into a discrete control system by numerical methods for ordinary differential *** have shown that the reachable set of a continuous control system can be approximated by ...
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ISBN:
(纸本)9781509046584
A continuous control system can be discretized into a discrete control system by numerical methods for ordinary differential *** have shown that the reachable set of a continuous control system can be approximated by its discrete *** this paper,utilizing the convex property of the reachable set of a linear control system,we propose a method to approximate the convex reachable set of a discrete linear control system with multi-objective programming(MOP).We treat the reachable set problem as solving multiple MOP problems and the convex hull of the non-dominated sets of these MOPs is the reachable *** each MOP the revised normal boundary intersection method is used to obtain non-dominated ***,we use computational experiments to clearly illustrate the validity of this method.
This paper proposes the concepts of generalized αk-major efficient solutions and generalized αk- major optimal solutions for multi-objective programming, and studies their some important properties.
This paper proposes the concepts of generalized αk-major efficient solutions and generalized αk- major optimal solutions for multi-objective programming, and studies their some important properties.
With the rapid urbanization, solving the facility location and size problem (FLSP) of general service infrastructure (GSI) has become an essential issue in spatial planning. Due to unreasonable location and regional s...
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With the rapid urbanization, solving the facility location and size problem (FLSP) of general service infrastructure (GSI) has become an essential issue in spatial planning. Due to unreasonable location and regional scale, the satisfaction of residents has been seriously affected. This paper develops a bi-level multi-objective programming (BLMOP) to optimize both facility location and size. Three major problems have been addressed: (1) solving the contradiction between supply and demand;(2) keeping a balance of social, economic, and environmental benefits;and (3) designing a multi-objective particle swarm optimization (MOPSO) algorithm by modifying the parameters and learning strategies. To obtain feasible solutions, a combination of optimistic and pessimistic approaches is adopted. Taking the rural areas of Southwest China as an example, the results find that the proposed model enables to provide objective-oriented optimization schemes depending on the decision-maker's (DM) preferences. Furthermore, the MOPSO algorithm can solve the BLMOP and provide Pareto-optimal solutions separately.
Green supply chain management is one of the most important strategies to enhance the competitiveness of modern enterprises. Traditional supplier selection methods seldom consider the entire supply chain. Therefore, th...
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Green supply chain management is one of the most important strategies to enhance the competitiveness of modern enterprises. Traditional supplier selection methods seldom consider the entire supply chain. Therefore, this paper proposes an integrated model combining the linguistic entropy weight method (LEWM) with multi-objective programming for supplier selection and order allocation in a circular economy. First, a comprehensive system of green supplier evaluation criteria is established, with each criterion clearly defined. Second, the LEWM is used to select qualified green suppliers, whose rankings are calculated. The proposed LEWM can not only select qualified green suppliers but also analyze each supplier's performance on each evaluation criterion;it can also provide improvement suggestions for suppliers. Third, based on the characteristics of current global supply chains in the automobile manufacturing industry, the order allocation model is established. The order allocation model constructed in this paper has three objectives: total cost minimization, carbon emission minimization, and procurement value maximization. The weighted maximum and minimum operator method is used to solve the model. Finally, the paper introduces how to use the proposed two-phase model to solve the problem of green supplier selection and order allocation, and conducts sensitivity analysis on the model results. The results show that the proposed framework can effectively resolve green supplier selection and order allocation for an automobile manufacture, and verify the scientific validity of the proposed method. This study could help to improve the relationship between companies and potential suppliers, and to improve green product development capabilities and supply chain management quality, thereby enhancing companies' market competitiveness. (C) 2020 Elsevier Ltd. All rights reserved.
The purpose of the current study is to select suppliers and determine their order allocation in a way that the performance of the sustainability of the supply process gets optimized on the whole. In this research, aft...
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The purpose of the current study is to select suppliers and determine their order allocation in a way that the performance of the sustainability of the supply process gets optimized on the whole. In this research, after reviewing the literature and investigating the supply chain of the case study (Iran Khodro's supply chain) through Delphi method, a set of evaluation criteria related to the performance of the suppliers in economic, social, and environmental terms was identified. In the next stage, by using the identified criteria, the multi-objective mathematical integer programming was presented to solve the problems of supplier selection and order allocation. The suggested mathematical programming in this research is designed to be multi-product, single-period, and multiple sourcing. Fuzzy TOPSIS method is applied to calculate the qualitative parameters that are used in the suggested mathematical programming. Ultimately, the mathematical model suggested in the research is solved by two methods, i.e., epsilon constraint method and weighted sum method. Moreover, the Total Value of Sustainable Purchasing (TVSP) is calculated for both cases. The comparison of these two methods indicates that, in this research, the results of the weighted sum method are more efficient than those of the epsilon constraint method. (C) 2019 Sharif University of Technology. All rights reserved.
Planning of sewer systems typically involves limitations and problems, regardless of whether traditional planning methods or optimization models are used. Such problems include non-quantifiability, fuzzy objectives, a...
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Planning of sewer systems typically involves limitations and problems, regardless of whether traditional planning methods or optimization models are used. Such problems include non-quantifiability, fuzzy objectives, and uncertainties in decision-making variables which are commonly applied in the planning of any process. Particularly, uncertainties have prevented the inclusion of these variables in models. Consequently, the theoretical optional solution of the mathematical models is not the true optimum solution to practical problems. In this study, to solve the above problems for regional sewer system planning, multi-objective programming (MOP), nonlinear programming, mixed-integer programming, and compromise fuzzy programming were used. The objectives of this study were two-fold: (1) determination of the necessary decision-making variables or parameters, such as the optimum number of plants, piping layout, size of the plant, and extent of treatment;(2) establishment of a framework and methodology for optimal planning for designing a regional sewer system, matching demanded targets with the lowest cost, which would achieve the aim of lower space and energy requirements as well as consumption and high treatment efficiency for the purpose of meeting effluent standards. The findings of this study revealed that individual regional sewage treatment plants could be merged to form a centralized system. Land acquisition was difficult;thus, reducing the number of plants was required. Therefore, the compromise-fuzzy-based MOP method could effectively be used to build a regional sewer system plan, and the amount of in-plant establishment reached its maximized value with a minimized cost.
This study introduces a multi-objective programming model for identifying a cropping pattern to evaluate the feasibility of increasing net profit, reducing water use, and diminishing the environmental impacts, simulta...
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This study introduces a multi-objective programming model for identifying a cropping pattern to evaluate the feasibility of increasing net profit, reducing water use, and diminishing the environmental impacts, simultaneously, under life cycle assessment (LCA). The research uses data collected in 2016-2017 through a survey in the east of the Lorestan Province of Iran. Results indicate that the multi-objective cropping pattern reduces environmental indicators, including water consumption by 1%, global warming potential by 14%, and nonrenewable energy use by 14%, with no change in farms' net profit compared to the current pattern in the region. The findings reveal that a designed cropping pattern under the constraints and objectives of LCA not only minimizes the environmental impacts, but also considers the stability of the benefits in the long term. However, the currently applied cropping pattern by farmers only focuses on achieving short-term profit-oriented goals. A new approach to land allocation is necessary to produce crops with a reduction in water consumption, nonrenewable energy use, and greenhouse gas emissions in the region. In this regard, it is essential to consider the policies that reduce available water and non-renewable resources into government decisions. On the other hand, policy incentives or disincentives, developing support packages of crop pricing, insurance and facilities support to prevent the cultivation of crops with high water demand and fertilizer are also essential. This proposed planning model should be used as the foundation for long-term cropping pattern planning policies in other irrigated and rainfed farming systems around the world.
Many practical problems often have several objectives conflicting with each other, and we need to make a balanced decision froln the total viewpoint. For these problems, the traditional mathematical programming is not...
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Many practical problems often have several objectives conflicting with each other, and we need to make a balanced decision froln the total viewpoint. For these problems, the traditional mathematical programming is not valid, and instead the multi-objective programming have been developed. Among them, the aspiration level approach has been widely recognized to be effective in many practical fields. As one of the aspiration level approach, the author developed the satisficing trade-off method. And, he has been applying the method to several kinds of practical problems for these ten years. In this paper, a survey on applications of the method to practical problems will be given showing noteworthy points in real application
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