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interactive fuzzy programming for two-level linear and linear fractional production and assignment problems: A case study

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2001年第1期135卷 142-157页

作者： Sakawa, M Nishizaki, I Uemura, Y Hiroshima Univ Fac Engn Dept Ind & Syst Engn Higashihiroshima 7398527 Japan Juken Sangyou Co Ltd Prod Projects Dev Dept Hiroshima 7388502 Japan

In this paper, we deal with actual problems on production and work force assignment in a housing material manufacturer and a subcontract firm. We formulate two kinds of two-level programming problems;one is a profit maximization problem of both the housing material manufacturer and the subcontract firm, and the other is a profitability maximization problem of them. Applying the interactive fuzzy programming for two-level linear and linear fractional programming problems, we derive satisfactory solutions to the problems. After comparing the two problems, we discuss the results of the applications and examine actual planning of the production and the work force assignment of the two firms to be implemented. (C) 2001 Elsevier Science B.V. All rights reserved.

关键词： optimization production and work force assignment problems two-level linear and linear fractional programming problem interactive fuzzy programming satisfactory solution

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interactive fuzzy programming for decentralized two-level linear programming problems

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fuzzy SETS AND SYSTEMS 2002年第3期125卷 301-315页

作者： Sakawa, M Nishizaki, I Hiroshima Univ Grad Sch Engn Dept Artificial Complex Syst Engn Higashihiroshima 7398527 Japan

This paper presents interactive fuzzy programming for a decentralized two-level linear programming problem with a single decision maker (DM) at the upper level and multiple DMs at the lower level. The interactive method consists of two phases. In the first phase, after determining the fuzzy goals of the DMs at both levels, the DM at the upper level subjectively specifies a minimal satisfactory level. Taking into consideration overall satisfactory balance between the two levels, the DM at the upper level updates the minimal satisfactory level if necessary, and a tentative solution is obtained. In the second phase, consulting the ratios of satisfaction between the DM at the upper level and each of the DMs at the lower level, the DM at the upper level specifies maximal satisfactory levels to the DMs at the lower level and updates them if necessary. A satisfactory solution can be derived efficiently through the interactive procedure of the two phases. A numerical example illustrates the proposed method. (C) 2002 Elsevier Science B.V. All rights reserved.

关键词： decentralized two-level linear programming problem interactive fuzzy programming fuzzy goals

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interactive fuzzy programming BASED ON FRACTILE CRITERION OPTIMIZATION MODEL FOR TWO-LEVEL STOCHASTIC LINEAR programming PROBLEMS

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CYBERNETICS AND SYSTEMS 2010年第7期41卷 508-521页

作者： Sakawa, Masatoshi Katagiri, Hideki Hiroshima Univ Dept Artificial Complex Syst Engn Grad Sch Engn Higashihiroshima 7398527 Japan

In this article, we focus on two-level linear programming problems involving random variable coefficients in objective functions and constraints. Following the concept of chance constrained programming, the two-level stochastic linear programming problems are transformed into deterministic ones based on the fractile criterion optimization model. After introducing fuzzy goals for objective functions, interactive fuzzy programming to derive a satisfactory solution for decision makers is presented as a fusion of a stochastic approach and a fuzzy one. An illustrative numerical example is provided to demonstrate the feasibility of the proposed method.

关键词： fractile criterion optimization interactive fuzzy programming stochastic programming two-level programming

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interactive fuzzy programming approaches to the strategic and tactical planning of a closed-loop supply chain under uncertainty

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INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH 2014年第8期52卷 2363-2387页

作者： Ozceylan, Eren Paksoy, Turan Selcuk Univ Dept Ind Engn Konya Turkey

In this paper, a closed-loop supply chain (CLSC) network model consisting of various conflicting decisions of forward and reverse facilities is considered. The proposed model integrates the strategic and tactical decisions to avoid the sub-optimalities led from separated design in both chain networks. The strategic-level decisions relate to the amounts of goods flowing on the forward and reverse chains whereas the tactical-level decisions concern balancing disassembly lines, collection and refurbishing activities in the reverse chain. First, a fuzzy multi-objective mixed-integer non-linear programming model that considers the imprecise nature of critical parameters such as cost coefficients, capacity levels, market demands and reverse rates is proposed. Then, proposed fuzzy model is converted into an auxiliary crisp multi-objective mixed-integer non-linear programming (MOMINP) model by applying two different approaches. Finally, different fuzzy interactive programming approaches are applied to solve this MOMINP model to find a satisfactory solution for the network that is considered. The proposed model with the solution approaches is validated through a realistic numerical example. Computational results indicate that our proposed model and solution approaches can effectively be used in CLSC network problems.

关键词： multi-objective non-linear programming uncertainty interactive fuzzy programming disassembly line balancing closed-loop supply chain network design

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interactive fuzzy programming procedure for Trilevel Quadratic Fractional programming

Interactive Fuzzy Programming procedure for Trilevel Quadrat...

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International Conference on Computing and Communication Technologies for Smart Nation (IC3TSN)

作者： Kumar, Suchet Rakshit, Madhuchanda Guru Kashi Univ Dept Appl Sci Talwandi Sabo India

ISBN: (纸本)9781538606278

In this paper we proposed to study the Trilevel Quadratic Fractional programming Problem through interactive fuzzy programming procedure. In this procedure, First of all the upper levels determine their fuzzy goals and they possess their preference in the form of constraints. Then, lower level optimizes its goals by considering the preference of upper levels and hence a satisfactory solution can be achieved by modifying the satisfactory degrees of the upper level decision makers until the overall satisfactory balance between all the levels of decision makers will not be attained. This procedure can be effectively used in determining the satisfactory optimum solution of required multilevel programming problem. To check the practicability of our proposed method, we are also yielding a numerical example of quadratic fractional programming problem with three levels.

关键词： Quadratic programming interactive fuzzy programming Multilevel hierarchical optimization fuzzy programming

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interactive fuzzy programming for two-level stochastic linear programming problems through expectation and variance models

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INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS 2009年第3-4期13卷 111-118页

作者： Kato, Kosuke Sakawa, Masatoshi Katagiri, Hideki Hiroshima Inst Technol Fac Appl Informat Sci Dept Comp Sci Hiroshima Japan Hiroshima Univ Grad Sch Engn Dept Artificial Complex Syst Engn Hiroshima Japan

In this paper, we focus on two-level linear programming problems involving random variable coefficients in objective functions and constraints. According to the concept of chance constrained programming, the two-level stochastic linear programming problems are transformed into deterministic ones through the expectation optimization model and the variance minimization model. After introducing fuzzy goals for objective functions, interactive fuzzy programming to derive a satisfactory solution for decision makers is presented as a fusion of stochastic approach and fuzzy one. An illustrative numerical example is provided to demonstrate the feasibility of the proposed method.

关键词： Two-level linear programming stochastic programming interactive fuzzy programming expectation optimization variance minimization

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A decentralized two-level transportation problem in a housing material manufacturer: interactive fuzzy programming approach

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EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 2002年第1期141卷 167-185页

作者： Sakawa, M Nishizaki, I Uemura, Y Hiroshima Univ Grad Sch Engn Dept Artificial Complex Syst Engn Higashihiroshima 7398527 Japan Juken Sangyou Co Ltd Syst Anal EDP Dept Hatsukaichi Hiroshima 7388502 Japan

In this paper, we deal with a transportation problem in a housing material manufacturer and derive a satisfactory solution to the problem by taking into account not only the degree of satisfaction with respect to objectives of the housing material manufacturer but also those of two forwarding agents to which the housing material manufacturer entrusts transportation of products. The two forwarding agents handle the regular transportation and the small lot transportation, and each of them assigns work force, the transformation tasks properly. There are two objectives in the housing material manufacturer: one is to minimize the transportation cost and the other is to minimize the opportunity loss with respect to transportation time. The objectives of the two forwarding agents are to maximize their profits. We formulate the transportation planning and work force assignment problem as a decentralized two-level integer programming problem, and derive a satisfactory solution by applying an interactive fuzzy programming method. (C) 2002 Published by Elsevier Science B.V.

关键词： optimization transportation planning work force assignment two-level programming interactive fuzzy programming

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A Novel interactive fuzzy programming Approach for Optimization of Allied Closed-Loop Supply Chains

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INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS 2018年第1期11卷 672-691页

作者： Calik, Ahmet Pehlivan, Nimet Yapici Paksoy, Turan Weber, Gerhard Wilhelm KTO Karatay Univ Logist Management TR-42020 Konya Turkey Selcuk Univ Stat TR-42075 Konya Turkey Selcuk Univ Ind Engn TR-42075 Konya Turkey Middle East Tech Univ Dept Appl Math Ankara Turkey Poznan Univ Tech Fac Engn Management Chair Mkt & Econ Engn Ul Strzelecka 11 PL-60965 Poznan Poland

In recent years, the relationship between companies and suppliers has changed with the continuous rise in environmental awareness and customer expectations. In order to fulfill customers' needs, the actors in a Supply Chain (SC) network sometimes compete and sometimes cooperate with each other. In SC management, both competitive and collaborative strategies have become important and have required different points of view. In a collaborative environment, companies should strive for common targets with mutual relationship. After managers decided to share their resources, some positive effects have appeared on the companies and suppliers' performance such as profitability, flexibility and efficiency. Consequently, many companies are willing to cooperate with each other in a SC network because of these reasons. On the other hand, Closed-Loop Supply Chain (CLSC) management has been attracting a growing interest because of increased environmental issues, government regulations and customer pressures. Based on this initiative, our paper presents a novel allied CLSC network design model with two different SCs including common suppliers and common collection centers. First, a decentralized multi-level Mixed-Integer Linear programming (MILP) model that consists of two different levels of Decision Makers (DMs) is developed. The plants of common SCs comprise the upper-level DMs, common suppliers, common collection centers, and the logistics firm comprises the lower-level DMs. A novel interactive fuzzy programming (IFP) approach using fuzzy Analytic Hierarchy Process (AHP) is proposed to obtain a preferred compromise solution for the developed model. Through use of fuzzy AHP in the proposed IFP approach, the DMs can identify the importance of the lower-level DMs. In order to validate the developed model and the proposed IFP approach, a numerical example is implemented. According to the obtained results, our proposed IFP method outperforms Sakawa and Nishizaki's(1) and Calik et a

关键词： Closed-Loop Supply Chain Optimization interactive fuzzy programming Common Sources Multi-Level programming Preferred Compromise Solution

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An interactive fuzzy programming approach for bi-objective straight and U-shaped assembly line balancing problem

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APPLIED SOFT COMPUTING 2016年 40卷 221-235页

作者： Alavidoost, M. H. Babazadeh, Hossein Sayyari, S. T. Amirkabir Univ Technol Dept Ind Engn Tehran Iran Univ Sci & Culture Dept Ind Engn Tehran Iran Univ Sci & Technol Dept Ind Engn Tehran Iran

The consideration of this paper is given to address the straight and U-shaped assembly line balancing problem. Although many attempts in the literature have been made to develop deterministic version of the assembly line model, the attention is not considerably given to those in uncertain environment. In this paper, a novel bi-objective fuzzy mixed-integer linear programming model (BOFMILP) is developed so that triangular fuzzy numbers (TFNs) are employed in order to represent uncertainty and vagueness associated with the task processing times in the real production systems. In this proposed model, two conflicting objectives (minimizing the number of stations as well as cycle time) are considered simultaneously with respect to set of constraints. For this purpose, an appropriate strategy in which new two-phase interactive fuzzy programming approach is proposed as a solution method to find an efficient compromise solution. Finally, validity of the proposed model as well as its solution approach are evaluated though numerical examples. In addition, a comparison study is conducted over some test problems in order to assess the performance of the proposed solution approach. The results demonstrate that our proposed interactive fuzzy approach not only can be applied in ALBPs but also is capable to handle any practical MOLP models. Moreover, in light of these results, the proposed model may constitute a framework aiming to assist the decision maker (DM) to deal with uncertainty in assembly line problem. (C) 2015 Elsevier B.V. All rights reserved.

关键词： interactive fuzzy programming Multi-objective optimization Assembly line balancing fuzzy numbers

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A Decentralized Model for Allied Closed-Loop Supply Chains: Comparative Analysis of interactive fuzzy programming Approaches

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INTERNATIONAL JOURNAL OF fuzzy SYSTEMS 2017年第2期19卷 367-382页

作者： Calik, Ahmet Paksoy, Turan Yildizbasi, Abdullah Pehlivan, Nimet Yapici Selcuk Univ Dept Stat Konya Turkey Selcuk Univ Dept Ind Engn Konya Turkey Yildirim Beyazit Univ Dept Ind Engn Ankara Turkey

The supply chain network design problem addresses various factors that maximize customers' demand and minimizes the sum of strategic, tactical, and operational costs. Companies with common activities in their supply chains have started to cooperate with each other to achieve better service levels. Based on this initiative, a multi-level mixed-integer linear programming model is developed that includes two allied supply chains with different decision makers (DM) at two different decision-making levels. The primary aim of this study is to design an allied closed-loop supply chain (CLSC) network that uses some of the same facilities. The secondary aim of this study is to examine this allied CLSC model simultaneously and analyse the impact of the DMs' objectives based on satisfaction degrees. Various interactive fuzzy programming (IFP) approaches were utilized to examine the presented multi-level CLSC model. A novel IFP approach which is based on the fuzzy analytic hierarchy process (AHP) is proposed. The effectiveness of the proposed IFP approach on the CLSC model is investigated with hypothetical data. The computational results show that the proposed approach obtains higher satisfaction degrees for upper-level DMs than the other approaches.

关键词： Allied supply chains Decentralized closed-loop supply chain interactive fuzzy programming Multi-level programming

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