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作者： Visa Linkio Aalto University

学位级别：硕士

For benchmarking, a petroleum refining company is interested in how different market scenarios affect their competitors. This thesis is a feasibility study for the use of a multi-objective linear programming (MOLP) model for analyzing the impact of market prices on competing petroleum refineries. linear programming (LP) models are widely used for optimizing petroleum refin- ery operation. The existing LP models can be utilized in the design of a MOLP model which makes it a particuarly desired model type. MOLP is a method for solving linear problems where multiple conflicting objective functions are opti- mized simultaneously. In this case, the different objective functions depict the profits of competing companies. Since there are several decision makers, this problem is different from those that have been extensively studied in open liter- ature. In this thesis, a MOLP model labeled the Refinery Ranking Model (RRM) is de- signed. The user sets the market parameters for the RRM which then determines the optimal purchases and sales for each refining company. The results indicate that MOLP can be used to analyze the market dynamics of competing refining companies. The RRM could be expanded to include dozens of refineries and still describe their detailed behavior well and with a very reasonable solution time.

关键词： Competition linear programming multi-objective linear programming Network optimization Petroleum refining Supply chain planning

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A NEW APPROACH FOR SOLVING FULLY FUZZY linear FRACTIONAL programming PROBLEMS USING THE multi-objective linear programming

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RAIRO-OPERATIONS RESEARCH 2017年第1期51卷 285-297页

作者： Das, Sapan Kumar Mandal, Tarni Edalatpanah, S. A. Natl Inst Technol Jamshedpur Dept Math Jamshedpur 831014 Bihar India Ayandegan Inst Higher Educ Dept Appl Math Tonekabon Iran

This paper deals with developing an efficient algorithm for solving the fully fuzzy linear fractional programming problem. To this end, we construct a new method which is obtained from combination of Charnes-Cooper scheme and the multi-objective linear programming problem. Furthermore, the application of the proposed method in real life problems is presented and this method is compared with some existing methods. The numerical experiments and comparative results presented promising results to find the fuzzy optimal solution.

关键词： Fully fuzzy linear programming linear fractional programming linear programming multi-objective linear programming triangular fuzzy number

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Comparative analysis of application efficiency of two iterative multi objective linear programming methods (MP method and STEM method)

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CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH 2018年第3期26卷 565-583页

作者： Peric, Tunjo Babic, Zoran Matejas, Josip Fac Econ & Business Zagreb Trg JF Kennedya 6 Zagreb Croatia Fac Econ Split Cvite Fiskovica 5 Split Croatia

In this paper we consider a production plan optimization problem for a company that produces textile products. The problem is solved using two iterative methods: a new method based on the cooperative game theory (MP method) and the well-known STEM method. Their application efficiency and the solutions obtained are compared. For this purpose we use four groups of criteria: (1) the general characteristics of the method (2) the criteria from the standpoint of the decision makers, (3) the criteria from the perspective of the analysts, and (4) the 'economic' criteria. The analysis indicates that both methods are highly efficient for solving this kind of production plan optimization problems. However, the decision-makers preferred the MP method.

关键词： multi-objective linear programming MP method STEM method Interactive methods Production plan optimization

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Active Distribution Network Secondary Coordinated Voltage Control Based on multi-objective linear programming

Active Distribution Network Secondary Coordinated Voltage Co...

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IEEE Conference on Energy Internet and Energy System Integration (EI2)

作者： Lu Wen Li Weixing Ding Qia Tu Mengfu Qi Yan Harbin Inst Technol NARI Corp Grp Harbin Heilongjiang Peoples R China Harbin Inst Technol Harbin Heilongjiang Peoples R China NARI Technol Co Ltd Nanjing Jiangsu Peoples R China Tianjin City Power Co Tianjin Peoples R China

ISBN: (纸本)9781538614273

The distribution network with a large number of distributed generator (DG) puts forward higher requirements for coordinated control of voltage / reactive power. Secondary voltage control is an effective method to improve distribution network voltage level under the condition of high permeable DG. Based on the basic principle of the secondary voltage control, multi-objective linear programming method is used to solve the contradiction between the safety and the economy of the distribution network, and the optimization goal construction, control strategy selection and control process realization are introduced respectively. The simulation results show that the voltage stability of the distribution network with high permeable DG can be solved by the secondary voltage control based on the multi-objective programming..

关键词： smart distribution network secondary voltage control multi-objective linear programming

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Resource allocation based on context-dependent data envelopment analysis and a multi-objective linear programming approach

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COMPUTERS & INDUSTRIAL ENGINEERING 2016年 101卷 81-90页

作者： Wu, Jie Zhu, Qingyuan An, Qingxian Chu, Junfei Ji, Xiang Univ Sci & Technol China Sch Management Hefei 230026 Anhui Peoples R China Cent S Univ Sch Business Changsha 410083 Hunan Peoples R China Univ Technol Troyes Charles Delaunay Inst Ind Syst Optimizat Lab F-10004 Troyes France Univ Technol Troyes CNRS UMR 6281 F-10004 Troyes France

This paper discusses a mechanism for the allocation of resources among a set of decision making units (DMUs) which are managed by a centralized control unit in an organization. Data envelopment analysis (DEA) and multi-objective linear programming (MOLP) are integrated to deal with this resource allocation problem. Also, context-dependent DEA is introduced to identify the changed production possibility set after resource allocation, which determines the production plans that are feasible with input increase or decrease in general. For the centralized unit, the MOLP approach is proposed to simultaneously maximize total output and effectiveness while minimizing the total allocated variable input consumption. Among these objectives, the effectiveness is determined by the output growth rate for all DMUs, which can reflect the effects obtained by allocating the input resources that are not used up, such as new equipment. In addition, we restrict the production of limited resources to the new most productive scale size (MPSS) region where the DMUs have the best economic characteristics. Finally, an example is employed to illustrate the approach. (C) 2016 Published by Elsevier Ltd.

关键词： Resource allocation Data envelopment analysis multi-objective linear programming Most productive scale size

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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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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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Active Distribution Network Secondary Coordinated Voltage Control Based on multi-objective linear programming

Active Distribution Network Secondary Coordinated Voltage Co...

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“紫金论电”2017智能电网保护和运行控制国际学术研讨会

作者： LU Wen TU Mengfu DING Qia DU Hongwei NARI Group Corporation(State Grid Electrical Power Research Institute) NanjingChina211106 NARI Technology Co. Ltd.Nanjing211106 State Key Laboratory of Smart Grid Protection and Control NanjingChina211106

Distribution network with a large number of distributed generators(DG)puts forward higher requirements for coordinated control of voltage and reactive *** coordinated voltage control is an effective method to improve distribution network voltage level under the condition of high permeable *** on the basic principle of the secondary coordinated voltage control,multi-objective linear programming method is used to solve the contradiction between the safety and the economy of the distribution network,and the optimization goal construction,control strategy selection and control process realization are introduced *** simulation results show that the secondary coordinated voltage control based on multi-objective programming can be used to solve distributed network voltage stability,but also can improve the efficiency of ADN.

关键词： Active distribution network Secondary voltage control multi-objective linear programming

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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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A New Method to Solve Fuzzy Interval Flexible linear programming Using a multi-objective Approach

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FUZZY INFORMATION AND ENGINEERING 2021年第2期13卷 248-265页

作者： Nasseri, S. H. Verdegay, J. L. Mahmoudi, F. Univ Mazandaran Dept Math Babolsar Iran Univ Granada Dept Comp Sci & AI Granada Spain

Recently fuzzy interval flexible linear programs have attracted many interests. These models are an extension of the classical linear programming which deal with crisp parameters. However, in most of the real-world applications, the nature of the parameters of the decision-making problems are generally imprecise. Such uncertainties can lead to increased complexities in the related optimisation efforts. Simply ignoring these uncertainties is considered undesired as it may result in inferior or wrong decisions. Therefore, inexact linear programming methods are desired under uncertainty. In this paper, we concentrate a fuzzy flexible linear programming model with flexible constraints and the interval objective function and then propose a new solving approach based on solving an associated multi-objective model. Finally, a numerical example is included to illustrate the mentioned solving process.

关键词： multi-objective linear programming fuzzy interval flexible linear programming interval linear programming interval arithmetic flexible constraints

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