The Experts below are selected from a list of 7248 Experts worldwide ranked by ideXlab platform
Brian W Baetz - One of the best experts on this subject based on the ideXlab platform.
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multilevel factorial Fractional Programming for sustainable water resources management
Journal of Water Resources Planning and Management, 2016Co-Authors: Yang Zhou, G H Huang, Brian W BaetzAbstract:AbstractThe need for more efficient water use has increased in importance with growing water scarcity and increasing competition among water users. Measuring the economic efficiency of water use has become a useful indicator for water resources management at all levels. This study proposes a multilevel factorial Fractional Programming model to support water resources management under uncertainty. Linear Fractional Programming is introduced to provide a practical way for taking into account the ratio of economic benefit to water consumption in the modeling process. This approach allows water allocation plans to be developed on the basis of the optimal economic efficiency of water use rather than economic incentives. A multilevel factorial analysis technique is integrated within linear Fractional Programming framework to deal with data uncertainty. This technique can quantify the individual and interactive effects of uncertain parameters on system performance and help decision makers gain improved insight i...
Tetsuzo Tanino - One of the best experts on this subject based on the ideXlab platform.
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optimality and duality for nonsmooth multiobjective Fractional Programming with generalized invexity
Journal of Mathematical Analysis and Applications, 2001Co-Authors: H Kuk, Gue Myung Lee, Tetsuzo TaninoAbstract:Abstract In this paper, we consider a class of nonsmooth multiobjective Fractional Programming problems in which functions are locally Lipschitz. We establish generalized Karush–Kuhn–Tucker necessary and sufficient optimality conditions and derive duality theorems for nonsmooth multiobjective Fractional Programming problems containing V -ρ-invex functions.
Muthukumar Sumathi - One of the best experts on this subject based on the ideXlab platform.
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fuzzy mathematical Programming approach for solving fuzzy linear Fractional Programming problem
Rairo-operations Research, 2014Co-Authors: C Veeramani, Muthukumar SumathiAbstract:In this paper, a solution procedure is proposed to solve fuzzy linear Fractional Programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear Fractional Programming (MOLFP) problem. By using Fuzzy Mathematical Programming approach transformed MOLFP problem is reduced single objective linear Programming (LP) problem. The proposed procedure illustrated through a numerical example.
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Fuzzy Mathematical Programming approach for solving Fuzzy Linear Fractional Programming problem
2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2013Co-Authors: C Veeramani, Muthukumar SumathiAbstract:In this paper, a method is proposed to solve Fuzzy Linear Fractional Programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic Multi-Objective Linear Fractional Programming (MOLFP) problem. By using Fuzzy Mathematical Programming approach transformed MOLFP problem is reduced single objective Linear Programming (LP) problem. The proposed procedure illustrated through a numerical example.
G H Huang - One of the best experts on this subject based on the ideXlab platform.
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multilevel factorial Fractional Programming for sustainable water resources management
Journal of Water Resources Planning and Management, 2016Co-Authors: Yang Zhou, G H Huang, Brian W BaetzAbstract:AbstractThe need for more efficient water use has increased in importance with growing water scarcity and increasing competition among water users. Measuring the economic efficiency of water use has become a useful indicator for water resources management at all levels. This study proposes a multilevel factorial Fractional Programming model to support water resources management under uncertainty. Linear Fractional Programming is introduced to provide a practical way for taking into account the ratio of economic benefit to water consumption in the modeling process. This approach allows water allocation plans to be developed on the basis of the optimal economic efficiency of water use rather than economic incentives. A multilevel factorial analysis technique is integrated within linear Fractional Programming framework to deal with data uncertainty. This technique can quantify the individual and interactive effects of uncertain parameters on system performance and help decision makers gain improved insight i...
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two stage chance constrained Fractional Programming for sustainable water quality management under uncertainty
Journal of Water Resources Planning and Management, 2015Co-Authors: Xiong Zhou, G H Huang, Hua Zhu, Bin YanAbstract:AbstractIn this study, a two-stage chance-constrained Fractional Programming (TCFP) method is developed for dealing with water quality management problems associated with stochastic inputs. Two-stage chance-constrained Fractional Programming is a hybrid of stochastic linear Fractional Programming (SLFP) and two-stage stochastic Programming (TSP) methods. It can not only balance objectives of two aspects through converting a bi-objective problem into a ratio one but can also analyze various policy scenarios when the promised production targets are violated. For demonstrating its advantages, the proposed TCFP method is applied to a case study of water quality management where managers have to consider conflicting objectives between economic development and environmental conservation, as well as stochastic features expressed as probability distributions. The obtained solutions under different significance levels can help managers to identify desired policies under various environmental, economic, and constra...
Sumathi Muthukumar - One of the best experts on this subject based on the ideXlab platform.
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solving the linear Fractional Programming problem in a fuzzy environment numerical approach
Applied Mathematical Modelling, 2016Co-Authors: Veeramani Chinnadurai, Sumathi MuthukumarAbstract:Abstract The fuzzy linear Fractional Programming problem is an important planning tool in different areas such as engineering, business, finance, and economics. In this study, we propose the use of the (α, r) acceptable optimal value for a linear Fractional Programming problem with fuzzy coefficients and fuzzy decision variables, as well as developing a method for computing them. To obtain acceptable (α, r) optimal values, we take an α - c u t on the objective function and r - c u t on the constraints. We then formulate an equivalent bi-objective linear Fractional Programming problem to calculate the upper and lower bounds of the fully fuzzy LFP problem. Using the upper and lower bounds obtained, we construct the membership functions of the optimal values numerically. We illustrate the proposed procedure using numerical and real life examples.
