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Solving multi-level multi-objective linear programming problems through fuzzy goal programming approach

APPLIED MATHEMATICAL MODELLING 2010年第9期34卷 2377-2387页

作者： Baky, Ibrahim A. Benha Univ Dept Basic Sci Benha Higher Inst Technol El Kalyoubia Egypt

In this paper, two new algorithms are presented to solve multi-level multi-objective linear programming (ML-MOLP) problems through the fuzzy goal programming (FGP) approach. The membership functions for the defined fuzzy goals of all objective functions at all levels are developed in the model formulation of the problem: so also are the membership functions for vectors of fuzzy goals of the decision variables, controlled by decision makers at the top levels. Then the fuzzy goal programming approach is used to achieve the highest degree of each of the membership goals by minimizing their deviational variables and thereby obtain the most satisfactory solution for all decision makers. The first suggested algorithm groups the membership functions for the defined fuzzy goals of the objective functions at all levels and the decision variables for each level except the lower level of the multi-level problem. The second proposed algorithm lexicographically solves MOLP problems of the ML-MOLP problem by taking into consideration the decisions of the MOLP problems for the upper levels. An illustrative numerical example is given to demonstrate the algorithms. (C) 2009 Elsevier Inc. All rights reserved.

关键词： multi-objective linear programming multi-level programming problems Goal programming Fuzzy programming Fuzzy goal programming

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The use of a fuzzy multi-objective linear programming for solving a multi-objective single-machine scheduling problem

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APPLIED SOFT COMPUTING 2010年第3期10卷 919-925页

作者： Tavakkoli-Moghaddam, Reza Javadi, Babak Jolai, Fariborz Ghodratnama, Ali Univ Tehran Coll Engn Dept Ind Engn Tehran Iran

This paper develops a fuzzy multi-objective linear programming (FMOLP) model for solving a multi-objective single-machine scheduling problem. The proposed model attempts to minimize the total weighted tardiness and makespan simultaneously. In this problem, a proposed FMOLP method is applied with respect to the overall acceptable degree of the decision maker (DM) satisfaction. A number of numerical examples are solved to show the effectiveness of the proposed approach. The related results are compared with the Wang and Liang's approach. These computational results show that the proposed FMOLP model achieves lower objective functions and higher satisfaction degrees. (C) 2009 Elsevier B. V. All rights reserved.

关键词： Single-machine scheduling multi-objective linear programming Fuzzy multi-objective linear programming Decision maker

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考虑紧急病患随机到达的手术排程动态优化方法研究

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管理科学 2019年第8期

作者：郭斯琪梁峰

科学合理的手术排程对医院和患者双方都具有重要意义。考虑手术室数量有限不确定因素造成手术时间波动及紧急病患随机到达的情况，以医院和患者双方利益最优为目标，建立多目标线性规划模型，利用蚁群算法对模型进行求解得到最优排程方... 详细信息

科学合理的手术排程对医院和患者双方都具有重要意义。考虑手术室数量有限不确定因素造成手术时间波动及紧急病患随机到达的情况，以医院和患者双方利益最优为目标，建立多目标线性规划模型，利用蚁群算法对模型进行求解得到最优排程方案。并结合某医院手术数据进行仿真测试，实例验证了该排程方法的优越性及应对不确定因素干扰的动态调度优化效果，最后对模型中的相关因素进行灵敏度分析，证明提出的动态优化方法可应用于不同具体情境下的手术排程问题中。

关键词：手术排程多目标线性规划蚁群算法灵敏度分析　　surgical scheduling multi-objective linear programming the ant colony algorithm sensitivity analysis

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Economic-energy-environment analysis of prospective sugarcane bioethanol production in Brazil

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APPLIED ENERGY 2016年第0期181卷 514-526页

作者： de Carvalho, Ariovaldo Lopes Antunes, Carlos Henggeler Freire, Fausto Univ Coimbra Fac Sci & Technol Energy Sustainabil Initiat Rua Luis Reis dos Santos P-3030788 Coimbra Portugal Univ Coimbra Dept Elect & Comp Engn INESC Coimbra Polo 2 P-3030290 Coimbra Portugal Univ Coimbra INESC Coimbra Polo 2 P-3030290 Coimbra Portugal Univ Coimbra Fac Sci & Technol ADAI LAETA Dept Mech Engn Rua Luis Reis Santos P-3030788 Coimbra Portugal Fed Inst Mato Grosso Campus DiamantinoRodovia Roberto Campos BR-78400970 Diamantino Brazil

Bioethanol from sugarcane can be produced using first-generation (1G) or second-generation (2G) technologies. 2G technologies can increase the capacity of production per sugarcane mass input and are expected to have a key role in future reductions of environmental impacts of sugarcane bioethanol. A hybrid Input-Output (10) framework is developed for Brazil coupling the System of National Accounts and the National Energy Balance, which is extended to assess Greenhouse Gas (GHG) emissions. Life cycle based estimates for two sugarcane cultivation systems, two 1G and eight 2G bioethanol production scenarios, are coupled in the IO framework. A multi-objective linear programming (MOLP) model is formulated based on this framework for energy-economic-environmental analysis of the Brazilian economic system and domestic bioethanol supply in prospective scenarios. Twenty-four solutions are computed: four "extreme" solutions resulting from the individual optimization of each objective function (GDP, employment level, total energy consumption and total GHG emissions-1G scenario), ten compromise solutions minimizing the distance of the feasible region to the ideal solution (1G, 1G-optimized and prospective 1G +2G scenarios), and ten solutions maximizing the total bioethanol production (1G, 1G-optimized and prospective I G + 2G scenarios). Higher diesel oil and lubricants consumption in the mechanical harvesting process has counterbalanced the positive effects of more efficient trucks leading to higher energy consumption and GHG emissions. Lower overall employment level in the 1G + 2G scenarios is achieved such that policies linked to reabsorption of sugarcane cutters in alternative activities are positive. Indirect effects from maximizing the bioethanol production increase the total energy consumption and the GHG emissions thus requiring efficiency measures and fossil energy substitution by cleaner sources. The integrated- or country-based analysis of the whole economic system ha

关键词： Input-output analysis Hybrid modeling multi-objective linear programming multi-sectoral economy-energy environment models Lignocellulosic bioethanol

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A New Method for Solving Single- and multi-objective Capacitated Solid Minimum Cost Flow Problems under Uncertainty

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JOURNAL OF INTELLIGENT SYSTEMS 2016年第2期25卷 159-183页

作者： Kaur, Manjot Sadiq, Rehan Univ British Columbia Sch Engn 1137 Alumni Ave Kelowna BC V1V 1V7 Canada Maharaja Ranjit Singh State Tech Univ Dept Appl Math Bathinda India

In real life, a person may assume that an object belongs to a set, but it is possible that he (she) is not sure about it. In other words, there may be hesitation or confusion whether an object belongs to a set or not. In fuzzy set theory, there is no means to incorporate such type of hesitation or confusion. A possible solution is to use intuitionistic fuzzy set [K. T. Atanassov, Intutionistic fuzzy sets, Fuzzy Sets Syst. 20 (1986), 87-96]. In this article, the concept of unbalanced fully fuzzy multi-objective capacitated solid minimum cost flow (SMCF) problems is generalized by unbalanced intuitionistic fully fuzzy multi-objective capacitated SMCF (CSMCF) problems and new methods are proposed for solving these problems. The main advantage of the proposed methods over the existing methods is that all the unbalanced fully fuzzy single-and multi-objective CSMCF problems that can be solved by the existing methods can also be solved by the proposed method.

关键词： multi-objective linear programming intuitionistic fuzzy numbers solid minimum cost flow

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Life cycle based multi-criteria optimization for optimal allocation of commercial delivery truck fleet in the United States

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SUSTAINABLE PRODUCTION AND CONSUMPTION 2016年 8卷 18-31页

作者： Zhao, Yang Ercan, Tolga Tatari, Omer Univ Cent Florida Dept Civil Environm & Construct Engn Orlando FL 32816 USA

Parcel delivery trucks, due to their intensive stop-and-go operational patterns, have relative lower fuel efficiency and higher environmental impacts to urban areas. The adoption of alternative fuel trucks may mitigate the environmental impacts, however, the first cost of these trucks is higher than those of traditional diesel trucks. To this end, based on environmental, social, and economic indicators, a model that provides optimized solutions for a fleet consists of 30 commercial delivery trucks is studied in this paper. An economic input-output based hybrid life cycle assessment is performed in conjunction with multi-objective linear programming to evaluate various delivery truck fleet combinations and to provide a comprehensive analysis of fleet performance. Furthermore, six specific scenarios, representing different utilization levels and fuel economy levels, have been taken into consideration to reflect the sensitivity of fleet performance with respect to real word operation. The performances of the vehicles are evaluated based on three criteria: economic aspects, environmental concerns, and public health impacts. Furthermore, the results are considered from two perspectives, the first being a case in which no constraints are taken into account, and the second case being considered under tailpipe emission constraints. The results indicate that when fuel economy is high and annual mileage is low, current diesel trucks are able to fulfill the requirement in both cases with reasonably low costs. Conversely, in scenarios with low fuel economy and high utilization levels, hybrid vehicles are preferred. However, the optimization model selects more electric trucks when tailpipe emission constraints are accounted.

关键词： Economic input-output based hybrid LCA Electric delivery truck multi-objective linear programming Conventional air pollution externalities

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Planning in feasible region by two-stage target-setting DEA methods: An application in green supply chain management of public transportation service providers (Reprinted from Journal of Transportation Research, vol 70, pg 324-338)

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TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW 2015年 74卷 22-36页

作者： Azadi, Majid Shabani, Amir Khodakarami, Mohsen Saen, Reza Farzipoor Department of Industrial Management Faculty of Management and Accounting Karaj Branch Islamic Azad University Karaj Iran Young Researchers and Elite Club Science and Research Branch Islamic Azad University Tehran Iran Young Researchers and Elite Club Karaj Branch Islamic Azad University Alborz Iran

To meet green supply chain management's requirements of a company and its transportation service providers (TSPs), it is essential to set clear, achievable, and realistic targets. This paper proposes two data envelopment analysis (DEA) approaches to find targets for two-stage network structures. The objective of proposed approaches is to plan in feasible region. The feasible region specifies bounds to ensure targets are within current operational capacity of TSPs. Applying the approaches to set targets for 24 TSPs lead to different results. However, proposed models ensure that the TSPs would be efficient in their current capacity. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： Green supply chain management Supplier monitoring Target setting Network data envelopment analysis multi-objective linear programming Goal-directed benchmarking Feasible planning region

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Characterizing coherence, correcting incoherence

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INTERNATIONAL JOURNAL OF APPROXIMATE REASONING 2015年第PartB期56卷 208-223页

作者： Quaeghebeur, Erik Ctr Wiskunde & Informat NL-1090 GB Amsterdam Netherlands

Lower previsions defined on a finite set of gambles can be looked at as points in a finite-dimensional real vector space. Within that vector space, the sets of sure loss avoiding and coherent lower previsions form convex polyhedra. We present procedures for obtaining characterizations of these polyhedra in terms of a minimal, finite number of linear constraints. As compared to the previously known procedure, these procedures are more efficient and much more straightforward. Next, we take a look at a procedure for correcting incoherent lower previsions based on pointwise dominance. This procedure can be formulated as a multi-objective linear program, and the availability of the finite characterizations provide an avenue for making these programs computationally feasible. (C) 2014 Elsevier Inc. All rights reserved.

关键词： Coherence Avoiding sure loss Polytope theory multi-objective linear programming Incoherence Dominance

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Robust solutions to multi-objective linear programs with uncertain data

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2015年第3期242卷 730-743页

作者： Goberna, M. A. Jeyakumar, V. Li, G. Vicente-Perez, J. Univ Alicante Dept Stat & Operat Res Alicante 03071 Spain Univ New S Wales Dept Appl Math Sydney NSW 2052 Australia

In this paper we examine multi-objective linear programming problems in the face of data uncertainty both in the objective function and the constraints. First, we derive a formula for the radius of robust feasibility guaranteeing constraint feasibility for all possible scenarios within a specified uncertainty set under affine data parametrization. We then present numerically tractable optimality conditions for minmax robust weakly efficient solutions, i.e., the weakly efficient solutions of the robust counterpart. We also consider highly robust weakly efficient solutions, i.e., robust feasible solutions which are weakly efficient for any possible instance of the objective matrix within a specified uncertainty set, providing lower bounds for the radius of highly robust efficiency guaranteeing the existence of this type of solutions under affine and rank-1 objective data uncertainty. Finally, we provide numerically tractable optimality conditions for highly robust weakly efficient solutions. (C) 2014 Elsevier B.V. All rights reserved.

关键词： Robust optimization multi-objective linear programming Data uncertainty Robust feasibility Robust weakly efficient solutions

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A hybrid input-output multi-objective model to assess economic-energy-environment trade-offs in Brazil

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ENERGY 2015年 82卷 769-785页

作者： de Carvalho, Ariovaldo Lopes Antunes, Carlos Henggeler Freire, Fausto Henriques, Carla Oliveira R&D Inst INESC Coimbra P-3000033 Coimbra Portugal Univ Coimbra Dept Mech Engn ADAI LAETA P-3030788 Coimbra Portugal Univ Coimbra Dept Elect & Comp Engn P-3030290 Coimbra Portugal Polytech Inst Coimbra P-3040316 Coimbra Portugal

A multi-objective linear programming (MOLP) model based on a hybrid Input Output (10) framework is presented. This model aims at assessing the trade-offs between economic, energy, environmental (E3) and social objectives in the Brazilian economic system. This combination of multi-objective models with Input Output Analysis (IOA) plays a supplementary role in understanding the interactions between the economic and energy systems, and the corresponding impacts on the environment, offering a consistent framework for assessing the effects of distinct policies on these systems. Firstly, the System of National Accounts (SNA) is reorganized to include the National Energy Balance, creating a hybrid 10 framework that is extended to assess Greenhouse Gas (GHG) emissions and the employment level. The objective functions considered are the maximization of GDP (gross domestic product) and employment levels, as well as the minimization of energy consumption and GHG emissions. An interactive method enabling a progressive and selective search of non-dominated solutions with distinct characteristics and underlying trade-offs is utilized. Illustrative results indicate that the maximization of GDP and the employment levels lead to an increase of both energy consumption and GHG emissions, while the minimization of either GHG emissions or energy consumption cause negative impacts on GDP and employment. (C) 2015 Elsevier Ltd. All rights reserved.

关键词： Greenhouse gas (GHG) Input-output analysis (IOA) multi-objective linear programming multi-sectoral economy-energy-environment models

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