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Assignment model with multi-objective linear programming for allocating choice ranking using recurrent neural network

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RAIRO-OPERATIONS RESEARCH 2021年第5期55卷 3107-3119页

作者： Mirzazadeh, Zahra Sadat Hassan, Javad Bani Mansoori, Amin Ferdowsi Univ Mashhad Fac Sport Sci Mashhad Razavi Khorasan Iran Ferdowsi Univ Mashhad Dept Appl Math Mashhad Razavi Khorasan Iran

Classic linear assignment method is a multi-criteria decision-making approach in which criteria are weighted and each rank is assigned to a choice. In this study, to abandon the requirement of calculating the weight of criteria and use decision attributes prioritizing and also to be able to assign a rank to more than one choice, a multi-objective linear programming (MOLP) method is suggested. The objective function of MOLP is defined for each attribute and MOLP is solved based on absolute priority and comprehensive criteria methods. For solving the linear programming problems we apply a recurrent neural network (RNN). Indeed, the Lyapunov stability of the proposed model is proved. Results of comparing the proposed method with TOPSIS, VICOR, and MORA methods which are the most common multi-criteria decision schemes show that the proposed approach is more compatible with these methods.

关键词： linear assignment method multi-objective linear programming multi-attribute decision-making absolute prioritizing method recurrent neural networks stable in the sense of Lyapunov

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No-wait flow shop scheduling using fuzzy multi-objective linear programming

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JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 2008年第5期345卷 452-467页

作者： Javadi, Babak Saidi-Mehrabad, M. Haji, Alireza Mahdavi, Iraj Jolai, F. Mahdavi-Amiri, N. Mazandaran Univ Sci & Technol Dept Ind Engn Babol Sar Iran Iran Univ Sci & Technol Dept Ind Engn Tehran Iran Sharif Univ Technol Dept Ind Engn Tehran Iran Univ Tehran Dept Ind Engn Fac Engn Tehran Iran Sharif Univ Technol Dept Math Sci Tehran Iran

This study develops a fuzzy multi-objective linear programming (FMOLP) model for solving the multi-objective no-wait flow shop scheduling problem in a fuzzy environment. The proposed model attempts to simultaneously minimize the weighted mean completion time and the weighted mean earliness. A numerical example demonstrates the feasibility of applying the proposed model to no-wait flow shop scheduling problem. The proposed model yields a compromised solution and the decision maker's overall levels of satisfaction. (C) 2008 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

关键词： no-wait flow shop scheduling multi-objective linear programming fuzzy multi-objective linear programming decision maker

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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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Inverse optimization for multi-objective linear programming

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OPTIMIZATION LETTERS 2019年第2期13卷 281-294页

作者： Naghavi, Mostafa Foroughi, Ali Asghar Zarepisheh, Masoud Univ Qom Dept Math Qom Iran Mem Sloan Kettering Canc Ctr Dept Med Phys New York NY 10021 USA

This paper generalizes inverse optimization for multi-objective linear programming where we are looking for the least problem modifications to make a given feasible solution a weak efficient solution. This is a natural extension of inverse optimization for single-objective linear programming with regular optimality replaced by the Pareto optimality. This extension, however, leads to a non-convex optimization problem. We prove some special characteristics of the problem, allowing us to solve the non-convex problem by solving a series of convex problems.

关键词： multi-objective linear programming linear programming Inverse optimization Efficiency

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Interactive MOLP Explorer-A Graphical-Based Computational Tool for Teaching and Decision Support in multi-objective linear programming Models

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COMPUTER APPLICATIONS IN ENGINEERING EDUCATION 2015年第2期23卷 314-326页

作者： Alves, Maria Joao Antunes, Carlos Henggeler Climaco, Joao Univ Coimbra Fac Econ Coimbra Portugal INESC Coimbra Coimbra Portugal Univ Coimbra Dept Elect & Comp Engn Polo 2 Coimbra Portugal

This article presents an interactive computational tool for teaching and providing decision support in multi-objective linear programming models. The main aim is to offer students in engineering and economics & management a user-friendly environment where the main theoretical and methodological concepts of multi-objective optimization can be apprehended through experimentation. (c) 2014 Wiley Periodicals, Inc. Comput Appl Eng Educ 23:314-326, 2015;View this article online at;DOI

关键词： multi-objective linear programming interactive methods computational tools decision support

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Robustness in deterministic multi-objective linear programming with respect to the relative interior and angle deviation

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OPTIMIZATION 2016年第11期65卷 1983-2005页

作者： Pourkarimi, Latif Soleimani-damaneh, Majid Razi Univ Dept Math Kermanshah Iran Univ Tehran Coll Sci Sch Math Stat & Comp Sci Tehran Iran Inst Res Fundamental Sci IPM Sch Math Tehran Iran

This paper deals with the robustness issue in deterministic multi-objective linear programming from two new standpoints. It is shown that a robustness notion recently reported in the literature is equivalent to strict efficiency. Corresponding to an efficient solution, a new quantity, robustness order (RO) is defined with respect to the interiority order of the cost matrix in the binding cone. A linear programming problem is provided to calculate the RO of a given efficient solution. The second part of the paper is devoted to investigating the robustness with respect to the eligible angle deviation of the cost matrix in the binding cone. Theoretical results are given to obtain the maximum eligible angle deviation. Finally, the relationship between two above-mentioned robustness standpoints is established. To have a better geometrical view, we prove the results for single-objective LP problems at first, and then we extend them to the multi-objective case. In addition to the theoretical results, some clarifying examples are given.

关键词： multi-objective linear programming robustness angle deviation relative interior

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multi-choice multi-objective linear programming problem

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JOURNAL OF INTERDISCIPLINARY MATHEMATICS 2009年第5期12卷 606-636页

作者： Biswal, M. P. Acharya, Srikumar Indian Inst Technol Dept Math Kharagpur 721302 W Bengal India

We consider a multi-objective linear programming problem where some of the right hand side parameters of the constraints are multi-choice in nature. For some right hand side parameters of the constraints, there may exist multiple choices, out of which exactly one is to be chosen. The selection from the sets should be in such a manner that the combination of choices for each set should provide best compromise solution. In order to solve the proposed multi-choice multi-objective linear programming problem, this paper proposes an equivalent mathematical model, which can be solved with the help of existing non-linear programming method. The proposed model can accommodate a maximum of sixteen choices for a single parameter. An illustrative example is presented in support of the proposed model.

关键词： multi-objective linear programming fuzzy multi-objective programming multi-choice programming non-linear programming

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Green supplier selection and order allocation in a low-carbon paper industry: integrated multi-criteria heterogeneous decision-making and multi-objective linear programming approaches

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ANNALS OF OPERATIONS RESEARCH 2016年第1-2期238卷 243-276页

作者： Govindan, Kannan Sivakumar, R. Univ Southern Denmark Ctr Sustainable Engn Operat Management Dept Technol & Innovat DK-5230 Odense M Denmark SSM Inst Engn & Technol Dept Mech Engn Dindigul India

The low-carbon supply chain is one of the predominant topics towards a green economy and it establishes the opportunity to reduce carbon emissions across the product value chain. This paper focuses on recycling and optimized sourcing in the paper industry as a case company. The main objective is to engage the case company with their supplier networks to diminish the greenhouse gases (GHG) emissions and cost in their production process. It proposes a model to support the selection of the best green supplier and an allocation of order among the potential suppliers. The proposed model contains a two-phase hybrid approach. The first phase presents the rating and selection of potential suppliers by considering economics (cost), operational factors (quality and delivery), and environmental criteria (recycle capability and GHG emission control) using Fuzzy Technique for Order of Preference by Similarity to Ideal Solution (Fuzzy TOPSIS) methodology. The second phase presents the order allocation process using multi-objective linear programming in order to minimize cost, material rejection, late delivery, recycle waste and CO2 emissions in the production process. A case study from a paper manufacturing industry is presented to elucidate the effectiveness of the proposed model. The results demonstrate a 26.2% reduction of carbon emission by using recycle products in the production process. The firm benefits by forming a systematic methodology for green supplier evaluation and order allocation. Finally, a conclusion and a suggested direction of future research are introduced.

关键词： Green supplier selection Order allocation Fuzzy TOPSIS multi-objective linear programming Weighted additive model Group decision-making

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Application of fuzzy multi-objective linear programming to aggregate production planning

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COMPUTERS & INDUSTRIAL ENGINEERING 2004年第1期46卷 17-41页

作者： Wang, RC Liang, TF Natl Taiwan Univ Sci & Technol Dept Ind Management Taipei 104 Taiwan

This study develops a fuzzy multi-objective linear programming (FMOLP) model for solving the multi-product aggregate production planning (APP) decision problem in a fuzzy environment. The proposed model attempts to minimize total production costs, carrying and backordering costs and rates of changes in labor levels considering inventory level, labor levels, capacity, warehouse space and the time value of money. A numerical example demonstrates the feasibility of applying the proposed model to APP problem. Its advantages are also discussed. The proposed model yields a compromise solution and the decision maker's overall levels of satisfaction. In particular, in contrast to other APP models, several significant characteristics of the proposed model are presented. (C) 2003 Elsevier Ltd. All rights reserved.

关键词： aggregate production planning multi-objective linear programming fuzzy multi-objective linear programming decision maker

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Grey-fuzzy solution for multi-objective linear programming with interval coefficients

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GREY SYSTEMS-THEORY AND APPLICATION 2018年第3期8卷 312-327页

作者： Mahmoudi, Amin Feylizadeh, Mohammad Reza Darvishi, Davood Liu, Sifeng Islamic Azad Univ Shiraz Branch Dept Ind Engn Shiraz Iran Payame Noor Univ Dept Basic Sci Math Tehran Iran Nanjing Univ Aeronaut & Astronaut Inst Grey Syst Studies Nanjing Jiangsu Peoples R China

Purpose The purpose of this paper is to propose a method for solving multi-objective linear programming (MOLP) with interval coefficients using positioned programming and interactive fuzzy programming approaches. Design/methodology/approach In the proposed algorithm, first, lower and upper bounds of each objective function in its feasible region will be determined. Afterwards using fuzzy approach, considering a membership function for each objective function and finally using grey linear programming, the solution for this problem will be obtained. Findings According to the presented example, in this paper, the proposed method is both simple in use and suitable for solving different problems. In the numerical example mentioned in this paper, the proposed method provides an acceptable solution for such problems. Practical implications As in most real-world situations, the coefficients of decision models are not known and exact. In this paper, the authors consider the model of MOLP with interval data, since one of the solutions to cover uncertainty is using interval theory. Originality/value Based on using grey theory and interactive fuzzy programming approaches, an appropriate method has been presented for solving MOLP problems with interval coefficients. The proposed method, against the complex methods, has less effort and offers acceptable solutions.

关键词： Grey linear programming Grey system Interactive fuzzy programming approach Interval coefficient multi-objective linear programming

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