An Interactive Goal Programming Method For Non Linear Multiple Criteria Decision Making Problems

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Multiple Criteria Decision Making

Author : Günter Fandel
Publisher : Springer Science & Business Media
ISBN 13 : 3642591329
Total Pages : 685 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Multiple Criteria Decision Making by : Günter Fandel

Download or read book Multiple Criteria Decision Making written by Günter Fandel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The organizers of the 12th International Conference on Multiple Cri teria Decision Making (MCDM) held June 19-23, 1995 in Hagen received the second time the opportunity to prepare an international conference on MCDM in Germany; the first opportunity has been the 3rd International Conference on MCDM in Konigswinter, 1979. Quite a time ellapsed since then and therefore it might be interesting to compare some indicators of the development of the International Society on MCDM, which has been founded in Konigswinter. Stanley Zionts has been elected first president and all 44 participants of that Conference became founding members. Today our Society has over 1200 members and its own Journal (MCDM World Scan). In Hagen, 1996, we had 152 participants from 34 countries. It is interesting to mention that also other Groups established their organi zation, like the European Working Group on Multiple Criteria Decision Aid, the German Working Group on Decision Theory and Applications, the Multi Objective Programming and Goal Programming Group, ESIGMA, and some others. It is also interesting to note that the intersection of members of all these Groups and Societies is not empty and there is quite a cooperation among them.

Nonlinear Multiobjective Optimization

Author : Kaisa Miettinen
Publisher : Springer Science & Business Media
ISBN 13 : 1461555639
Total Pages : 304 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Nonlinear Multiobjective Optimization by : Kaisa Miettinen

Download or read book Nonlinear Multiobjective Optimization written by Kaisa Miettinen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems with multiple objectives and criteria are generally known as multiple criteria optimization or multiple criteria decision-making (MCDM) problems. So far, these types of problems have typically been modelled and solved by means of linear programming. However, many real-life phenomena are of a nonlinear nature, which is why we need tools for nonlinear programming capable of handling several conflicting or incommensurable objectives. In this case, methods of traditional single objective optimization and linear programming are not enough; we need new ways of thinking, new concepts, and new methods - nonlinear multiobjective optimization. Nonlinear Multiobjective Optimization provides an extensive, up-to-date, self-contained and consistent survey, review of the literature and of the state of the art on nonlinear (deterministic) multiobjective optimization, its methods, its theory and its background. The amount of literature on multiobjective optimization is immense. The treatment in this book is based on approximately 1500 publications in English printed mainly after the year 1980. Problems related to real-life applications often contain irregularities and nonsmoothnesses. The treatment of nondifferentiable multiobjective optimization in the literature is rather rare. For this reason, this book contains material about the possibilities, background, theory and methods of nondifferentiable multiobjective optimization as well. This book is intended for both researchers and students in the areas of (applied) mathematics, engineering, economics, operations research and management science; it is meant for both professionals and practitioners in many different fields of application. The intention has been to provide a consistent summary that may help in selecting an appropriate method for the problem to be solved. It is hoped the extensive bibliography will be of value to researchers.

Multiple Criteria Decision Making Theory and Application

Author : G. Fandel
Publisher : Springer Science & Business Media
ISBN 13 : 3642487823
Total Pages : 590 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Multiple Criteria Decision Making Theory and Application by : G. Fandel

Download or read book Multiple Criteria Decision Making Theory and Application written by G. Fandel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: He consider a cone dominance problem: given a "preference" cone lP and a set n X ~ R of available, or feasible, alternatives, the problem is to identify the non dominated elements of X. The nonzero elements of lP are assumed to model the do- nance structure of the problem so that y s X dominates x s X if Y = x + P for some nonzero p S lP. Consequently, x S X is nondominated if, and only if, ({x} + lP) n X = {x} (1.1) He will also refer to nondominated points as efficient points (in X with respect to lP) and we will let EF(XJP) denote the set of such efficient points. This cone dominance problem draws its roots from two separate, but related, ori gins. The first of these is multi-attribute decision making in which the elements of the set X are endowed with various attributes, each to be maximized or minimized.

Multiple Criteria Decision Analysis

Author : Salvatore Greco
Publisher : Springer
ISBN 13 : 149393094X
Total Pages : 1356 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Multiple Criteria Decision Analysis by : Salvatore Greco

Download or read book Multiple Criteria Decision Analysis written by Salvatore Greco and published by Springer. This book was released on 2016-02-18 with total page 1356 pages. Available in PDF, EPUB and Kindle. Book excerpt: In two volumes, this new edition presents the state of the art in Multiple Criteria Decision Analysis (MCDA). Reflecting the explosive growth in the field seen during the last several years, the editors not only present surveys of the foundations of MCDA, but look as well at many new areas and new applications. Individual chapter authors are among the most prestigious names in MCDA research, and combined their chapters bring the field completely up to date. Part I of the book considers the history and current state of MCDA, with surveys that cover the early history of MCDA and an overview that discusses the “pre-theoretical” assumptions of MCDA. Part II then presents the foundations of MCDA, with individual chapters that provide a very exhaustive review of preference modeling, along with a chapter devoted to the axiomatic basis of the different models that multiple criteria preferences. Part III looks at outranking methods, with three chapters that consider the ELECTRE methods, PROMETHEE methods, and a look at the rich literature of other outranking methods. Part IV, on Multiattribute Utility and Value Theories (MAUT), presents chapters on the fundamentals of this approach, the very well known UTA methods, the Analytic Hierarchy Process (AHP) and its more recent extension, the Analytic Network Process (ANP), as well as a chapter on MACBETH (Measuring Attractiveness by a Categorical Based Evaluation Technique). Part V looks at Non-Classical MCDA Approaches, with chapters on risk and uncertainty in MCDA, the decision rule approach to MCDA, the fuzzy integral approach, the verbal decision methods, and a tentative assessment of the role of fuzzy sets in decision analysis. Part VI, on Multiobjective Optimization, contains chapters on recent developments of vector and set optimization, the state of the art in continuous multiobjective programming, multiobjective combinatorial optimization, fuzzy multicriteria optimization, a review of the field of goal programming, interactive methods for solving multiobjective optimization problems, and relationships between MCDA and evolutionary multiobjective optimization (EMO). Part VII, on Applications, selects some of the most significant areas, including contributions of MCDA in finance, energy planning problems, telecommunication network planning and design, sustainable development, and portfolio analysis. Finally, Part VIII, on MCDM software, presents well known MCDA software packages.

Multiple Criteria Decision Making and its Applications to Economic Problems

Author : Enrique Ballestero
Publisher : Springer Science & Business Media
ISBN 13 : 1475728271
Total Pages : 164 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Multiple Criteria Decision Making and its Applications to Economic Problems by : Enrique Ballestero

Download or read book Multiple Criteria Decision Making and its Applications to Economic Problems written by Enrique Ballestero and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Criteria Decision Making and its Applications to Economic Problems ties Multiple Criteria Decision Making (MCDM)/Multiple Objective Optimization (MO) and economics together. It describes how MCDM methods (goal programming) can be used in economics. The volume consists of two parts. Part One of the book introduces the MCDM approaches. This first part, comprising Chapters 1-5, is basically an overview of MCDM methods that can most likely be used to address a wide range of economic problems. Readers looking for an in-depth discussion of multi-criteria analysis can grasp and become acquainted with the initial MCDM tools, language and definitions. Part Two, which comprises Chapters 6-8, focuses on the theoretical core of the book. Thus in Chapter 6 an economic meaning is given to several key concepts on MCDM, such as ideal point, distance function, etc. It illustrates how Compromise Programming (CP) can support the standard premise of utility optimisation in economics as well as how it is capable of approximating the standard utility optimum when the decision-makers' preferences are incompletely specified. Chapter 7 deals entirely with production analysis. The main characteristic throughout the Chapter refers to a standard joint production scenario, analysed from the point of view of MCDM schemes. Chapter 8 focuses on the utility specification problem in the n-arguments space within a risk aversion context. A link between Arrows' risk aversion coefficient and CP utility permits this task. The book is intended for postgraduate students and researchers in economics with an OR/MS orientation or in OR/MS with an economic orientation. In short, it attempts to fruitfully link economics and MCDM.

Multiple Criteria Decision Making

Author : G.H. Tzeng
Publisher : Springer Science & Business Media
ISBN 13 : 146122666X
Total Pages : 397 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Multiple Criteria Decision Making by : G.H. Tzeng

Download or read book Multiple Criteria Decision Making written by G.H. Tzeng and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was a great honor and privilege to organize the Tenth International Conference on Multiple Criteria Decision Making at Taipei, Taiwan, July 19-24, 1992. Accompanying this unique honor and privilege there was a series of complex, challenging problems. Each of them involved multiple criteria, fuzziness, uncertainty, unknown yet dynamic changes. The problem sometimes cost us sleep because we wanted to do the very best job, but in reality it seemed to be impossible. The following are the main goals of the organization committee: (i) inviting all prominent and distinguished MCDM scholars around the world to participate in the conference and to present their up-to-date research results, (ii) providing financial aid and hospitality so that each invited speaker can have free room and board at a five star hotel, (iii) creating an environment so that all participants can freely exchange their ideas, and build friendships around the world. Due to the enthusiastic participation of the prominent scholars, the generous support of the Taiwan government, universities, the Industrial leaders and nonprofit foundations, and the active problem solving attitude and doing of the organizational committee and the Habitual Domain (HD) club, the conference was a great success.

Multiple Criteria Analysis for Agricultural Decisions, Second Edition

Author : C. Romero
Publisher : Elsevier
ISBN 13 : 0444503439
Total Pages : 202 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Multiple Criteria Analysis for Agricultural Decisions, Second Edition by : C. Romero

Download or read book Multiple Criteria Analysis for Agricultural Decisions, Second Edition written by C. Romero and published by Elsevier. This book was released on 2003-03-21 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cover -- Contents -- Preface -- Acknowledgements -- Part one: Multiple criteria in agricultural decisions -- Chapter 1. Main features of the multiple criteria decision-making paradigm -- Criticism of the traditional paradigm for decision-making -- Economic versus technological decisions -- Multiple objectives and goals in agricultural economics -- Historical origins of the MCDM paradigm -- Plan of the book -- Suggestions for further reading -- Chapter 2. Some basic concepts -- Attributes, objectives and goals -- Distinction between goals and constraints -- Pareto optimality -- Trade-offs between decision-making criteria -- A first approximation of the main MCDM approaches -- Suggestions for further reading -- Part two: Multiple criteria decision-making techniques -- Chapter 3. Goal programming -- Introductory example for handling multiple criteria in a farm planning model -- The role of deviational variables in goal programming -- Lexicographic goal programming -- Sensitivity analysis ...

Multi-objective Decision Making Methods for Transportation

Author : Ernest R. Alexander
Publisher :
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.3/5 (555 download)

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Book Synopsis Multi-objective Decision Making Methods for Transportation by : Ernest R. Alexander

Download or read book Multi-objective Decision Making Methods for Transportation written by Ernest R. Alexander and published by . This book was released on 1985 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiple-Criteria Decision-Making (MCDM) Techniques for Business Processes Information Management

Author : Edmundas Kazimieras Zavadskas
Publisher : MDPI
ISBN 13 : 3038976423
Total Pages : 320 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Multiple-Criteria Decision-Making (MCDM) Techniques for Business Processes Information Management by : Edmundas Kazimieras Zavadskas

Download or read book Multiple-Criteria Decision-Making (MCDM) Techniques for Business Processes Information Management written by Edmundas Kazimieras Zavadskas and published by MDPI. This book was released on 2019-03-08 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information management is a common paradigm in modern decision-making. A wide range of decision-making techniques have been proposed in the literature to model complex business and engineering processes. In this Special Issue, 16 selected and peer-reviewed original research articles contribute to business information management in various current real-world problems by proposing crisp or uncertain multiple-criteria decision-making (MCDM) models and techniques, mostly including multi-attribute decision-making (MADM) approaches, in addition to a single paper proposing an interactive multi-objective decision-making (MODM) approach. Particular attention is devoted to information aggregation operators—65% of papers dealt with this item. The topics of this Special Issue gained attention in Europe and Asia. A total of 48 authors from seven countries contributed to this Issue. The papers are mainly concentrated in three application areas: supplier selection and rational order allocation, the evaluation and selection of goods or facilities, and personnel selection/partner selection. A number of new approaches are proposed that are expected to attract great interest from the research community.

Multiple Criteria Decision Making in Supply Chain Management

Author : A. Ravi Ravindran
Publisher : CRC Press
ISBN 13 : 131535425X
Total Pages : 446 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Multiple Criteria Decision Making in Supply Chain Management by : A. Ravi Ravindran

Download or read book Multiple Criteria Decision Making in Supply Chain Management written by A. Ravi Ravindran and published by CRC Press. This book was released on 2017-07-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Supply chain management decisions are made under the conflicting criteria of maximizing profit and customer responsiveness while minimizing supply chain risk. Multiple Criteria Decision Making in Supply Chain Management provides a comprehensive overview of multi-criteria optimization models and methods that can be used in supply chain decision making. Presenting the contributions of internationally known authors, researchers, educators, and practitioners, this new book in the Operations Research Series provides readers with a single source guide to recent developments in this area. The focus of the book is on the design and operation of the supply chain system, which involves connecting many production and distribution systems, often across wide geographic distances, in such a way that the businesses involved can ultimately satisfy the consumer demand as efficiently as possible, resulting in maximum financial returns to those businesses connected to that supply chain system. The book includes several case studies on the design and operation of supply chain networks in manufacturing and healthcare.

Supply Chain Engineering

Author : A. Ravi Ravindran
Publisher : CRC Press
ISBN 13 : 1439811989
Total Pages : 549 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Supply Chain Engineering by : A. Ravi Ravindran

Download or read book Supply Chain Engineering written by A. Ravi Ravindran and published by CRC Press. This book was released on 2012-09-27 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of 2013 IIE/Joint Publishers Book-of-the-Year Award Emphasizing a quantitative approach, Supply Chain Engineering: Models and Applications provides state-of-the-art mathematical models, concepts, and solution methods important in the design, control, operation, and management of global supply chains. The text provides an understanding of how companies plan, source, make, and deliver their products to create and/or maintain a global competitive advantage. It emphasizes application of operations research models and methods to optimize the various components of an integrated supply chain. The authors have carefully constructed the book so that it is not so "micro" in its focus that the perspective on the larger business problem is lost, nor is it so "macro" in its treatment of that business context that it fails to develop students’ appreciation for, and skills to solve, the tactical problems that must be addressed in effectively managing flows of goods in supply chains. Building students’ knowledge of the first principles of supply chain engineering, the book covers the traditional issues in operations, logistics, and supply chain management—forecasting demand, managing inventories, managing transportation, and locating facilities. It also includes a number of new optimization tools such as risk pooling, for addressing these problems, based on recent research. In addition, the authors’ treatment of managing customer-supplier relations supplies a fresh perspective that draws on recent research using multiple criteria optimization methods. Moreover, the chapter on managing risks in supply chains presents important problems that extend beyond the traditional treatment of supply chain management. Building a bridge between theory and practice, the authors pull all of these themes together in the culminating chapter that solidifies students’ understanding of managing global supply chains.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 788 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1981 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiple Criteria Optimization

Author : Xavier Gandibleux
Publisher : Springer Science & Business Media
ISBN 13 : 0306481073
Total Pages : 515 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Multiple Criteria Optimization by : Xavier Gandibleux

Download or read book Multiple Criteria Optimization written by Xavier Gandibleux and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The generalized area of multiple criteria decision making (MCDM) can be defined as the body of methods and procedures by which the concern for multiple conflicting criteria can be formally incorporated into the analytical process. MCDM consists mostly of two branches, multiple criteria optimization and multi-criteria decision analysis (MCDA). While MCDA is typically concerned with multiple criteria problems that have a small number of alternatives often in an environment of uncertainty (location of an airport, type of drug rehabilitation program), multiple criteria optimization is typically directed at problems formulated within a mathematical programming framework, but with a stack of objectives instead of just one (river basin management, engineering component design, product distribution). It is about the most modern treatment of multiple criteria optimization that this book is concerned. I look at this book as a nicely organized and well-rounded presentation of what I view as ”new wave” topics in multiple criteria optimization. Looking back to the origins of MCDM, most people agree that it was not until about the early 1970s that multiple criteria optimization c- gealed as a field. At this time, and for about the following fifteen years, the focus was on theories of multiple objective linear programming that subsume conventional (single criterion) linear programming, algorithms for characterizing the efficient set, theoretical vector-maximum dev- opments, and interactive procedures.

Multiple Criteria Decision Methods and Applications

Author : Günter Fandel
Publisher : Springer Science & Business Media
ISBN 13 : 3642705839
Total Pages : 416 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Multiple Criteria Decision Methods and Applications by : Günter Fandel

Download or read book Multiple Criteria Decision Methods and Applications written by Günter Fandel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both the 'First International Summer School on Multiple Criteria Decision Making Methods, Applications and Software' and the present volume of readings could only be realised with assistance and support from many sides. We would like to express our gratitude to all those who have contributed to making a success of the first of a hopefully long series of summer schools in this field and to all those who have contribut. ed to the present volume. First of all we are grateful for the financial means supplied by a long list of sponsors, the most important of which are mentioned on the copyright page. Next, we are grateful to the members of the organising committee, Anna Ostanello and Giovanni Zambruno. Since this is the first of what will become a series of summer schools, the chairman of the organising committee, Benedetto Matarazzo, will start this volume with a brief account of the school held in Acireale. The programme committee consisted of Jean Fichefet, Anna Ostanello, Bernard Roy, Jaap Spronk (chairman) and Stanley Zionts. Their valuable contribu tion is gratefully acknowledged, as is the contribution of all the lecturers at the school. Of course, a school is not only made by its teachers, but just as much by its students. The primary aim of a school is to teach and to stimulate the students.

Fuzzy Multiple Objective Decision Making

Author : Gwo-Hshiung Tzeng
Publisher : CRC Press
ISBN 13 : 1466554614
Total Pages : 325 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Fuzzy Multiple Objective Decision Making by : Gwo-Hshiung Tzeng

Download or read book Fuzzy Multiple Objective Decision Making written by Gwo-Hshiung Tzeng and published by CRC Press. This book was released on 2013-08-09 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-objective programming (MOP) can simultaneously optimize multi-objectives in mathematical programming models, but the optimization of multi-objectives triggers the issue of Pareto solutions and complicates the derived answers. To address these problems, researchers often incorporate the concepts of fuzzy sets and evolutionary algorithms into MOP models. Focusing on the methodologies and applications of this field, Fuzzy Multiple Objective Decision Making presents mathematical tools for complex decision making. The first part of the book introduces the most popular methods used to calculate the solution of MOP in the field of multiple objective decision making (MODM). The authors describe multi-objective evolutionary algorithms; expand de novo programming to changeable spaces, such as decision and objective spaces; and cover network data envelopment analysis. The second part focuses on various applications, giving readers a practical, in-depth understanding of MODM. A follow-up to the authors’ Multiple Attribute Decision Making: Methods and Applications, this book guides practitioners in using MODM methods to make effective decisions. It also extends students’ knowledge of the methods and provides researchers with the foundation to publish papers in operations research and management science journals.

Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

Author : Masatoshi Sakawa
Publisher : Springer Science & Business Media
ISBN 13 : 1461493994
Total Pages : 347 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Linear and Multiobjective Programming with Fuzzy Stochastic Extensions by : Masatoshi Sakawa

Download or read book Linear and Multiobjective Programming with Fuzzy Stochastic Extensions written by Masatoshi Sakawa and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although several books or monographs on multiobjective optimization under uncertainty have been published, there seems to be no book which starts with an introductory chapter of linear programming and is designed to incorporate both fuzziness and randomness into multiobjective programming in a unified way. In this book, five major topics, linear programming, multiobjective programming, fuzzy programming, stochastic programming, and fuzzy stochastic programming, are presented in a comprehensive manner. Especially, the last four topics together comprise the main characteristics of this book, and special stress is placed on interactive decision making aspects of multiobjective programming for human-centered systems in most realistic situations under fuzziness and/or randomness. Organization of each chapter is briefly summarized as follows: Chapter 2 is a concise and condensed description of the theory of linear programming and its algorithms. Chapter 3 discusses fundamental notions and methods of multiobjective linear programming and concludes with interactive multiobjective linear programming. In Chapter 4, starting with clear explanations of fuzzy linear programming and fuzzy multiobjective linear programming, interactive fuzzy multiobjective linear programming is presented. Chapter 5 gives detailed explanations of fundamental notions and methods of stochastic programming including two-stage programming and chance constrained programming. Chapter 6 develops several interactive fuzzy programming approaches to multiobjective stochastic programming problems. Applications to purchase and transportation planning for food retailing are considered in Chapter 7. The book is self-contained because of the three appendices and answers to problems. Appendix A contains a brief summary of the topics from linear algebra. Pertinent results from nonlinear programming are summarized in Appendix B. Appendix C is a clear explanation of the Excel Solver, one of the easiest ways to solve optimization problems, through the use of simple examples of linear and nonlinear programming.

Random-Like Multiple Objective Decision Making

Author : Jiuping Xu
Publisher : Springer Science & Business Media
ISBN 13 : 3642180000
Total Pages : 452 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Random-Like Multiple Objective Decision Making by : Jiuping Xu

Download or read book Random-Like Multiple Objective Decision Making written by Jiuping Xu and published by Springer Science & Business Media. This book was released on 2011-03-25 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the random-like phenomena that can be found everywhere in real-life world? When carrying out a random sampling survey on the traffic situation, we often obtain some descriptive results such as approximately expedite, a little crowded and so on, therefore, the average level should be regarded as the random fuzzy phenomenon, which is one of the random-like phenomena. Decision makers usually need to make the decision for these problems with random-like phenomena. Which model should be constructed for them? How should we handle these models to find the optimal strategy? How can we apply these models to solve real-life problems with random-like phenomena? In order to answer these questions, this book provides an up-to-date methodology system 5MRP for random-like multiple objective decision making, which includes problem system with random-like phenomena, model system with random-like coefficients, research system with random-like uncertain methods. Some practical applications are also provided to illustrate the effectiveness of the proposed methodology system. Researchers, practitioners and students in systems science, economics, mathematics, information, engineering and MS/OR will get a lot of useful references from this research monograph.