Multicriteria Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3540276599
Total Pages : 329 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Multicriteria Optimization by : Matthias Ehrgott

Download or read book Multicriteria Optimization written by Matthias Ehrgott and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: - Collection of results of multicriteria optimization, including nonlinear, linear and combinatorial optimization problems - Includes numerous illustrations, examples and problems

Multiple Criteria Optimization

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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 Optimization

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Publisher :
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Multiple Criteria Optimization by : Ralph E. Steuer

Download or read book Multiple Criteria Optimization written by Ralph E. Steuer and published by . This book was released on 1989 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Multiobjective Optimization

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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.

Multiobjective Optimization

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Publisher : Springer
ISBN 13 : 3540889086
Total Pages : 470 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Multiobjective Optimization by : Jürgen Branke

Download or read book Multiobjective Optimization written by Jürgen Branke and published by Springer. This book was released on 2008-10-18 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiobjective optimization deals with solving problems having not only one, but multiple, often conflicting, criteria. Such problems can arise in practically every field of science, engineering and business, and the need for efficient and reliable solution methods is increasing. The task is challenging due to the fact that, instead of a single optimal solution, multiobjective optimization results in a number of solutions with different trade-offs among criteria, also known as Pareto optimal or efficient solutions. Hence, a decision maker is needed to provide additional preference information and to identify the most satisfactory solution. Depending on the paradigm used, such information may be introduced before, during, or after the optimization process. Clearly, research and application in multiobjective optimization involve expertise in optimization as well as in decision support. This state-of-the-art survey originates from the International Seminar on Practical Approaches to Multiobjective Optimization, held in Dagstuhl Castle, Germany, in December 2006, which brought together leading experts from various contemporary multiobjective optimization fields, including evolutionary multiobjective optimization (EMO), multiple criteria decision making (MCDM) and multiple criteria decision aiding (MCDA). This book gives a unique and detailed account of the current status of research and applications in the field of multiobjective optimization. It contains 16 chapters grouped in the following 5 thematic sections: Basics on Multiobjective Optimization; Recent Interactive and Preference-Based Approaches; Visualization of Solutions; Modelling, Implementation and Applications; and Quality Assessment, Learning, and Future Challenges.

Multiple Criteria Decision Making by Multiobjective Optimization

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Publisher : Springer
ISBN 13 : 3319327569
Total Pages : 118 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Multiple Criteria Decision Making by Multiobjective Optimization by : Ignacy Kaliszewski

Download or read book Multiple Criteria Decision Making by Multiobjective Optimization written by Ignacy Kaliszewski and published by Springer. This book was released on 2016-08-02 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook approaches optimization from a multi-aspect, multi-criteria perspective. By using a Multiple Criteria Decision Making (MCDM) approach, it avoids the limits and oversimplifications that can come with optimization models with one criterion. The book is presented in a concise form, addressing how to solve decision problems in sequences of intelligence, modelling, choice and review phases, often iterated, to identify the most preferred decision variant. The approach taken is human-centric, with the user taking the final decision is a sole and sovereign actor in the decision making process. To ensure generality, no assumption about the Decision Maker preferences or behavior is made. The presentation of these concepts is illustrated by numerous examples, figures, and problems to be solved with the help of downloadable spreadsheets. This electronic companion contains models of problems to be solved built in Excel spreadsheet files. Optimization models are too often oversimplifications of decision problems met in practice. For instance, modeling company performance by an optimization model in which the criterion function is short-term profit to be maximized, does not fully reflect the essence of business management. The company’s managing staff is accountable not only for operational decisions, but also for actions which shall result in the company ability to generate a decent profit in the future. This calls for management decisions and actions which ensure short-term profitability, but also maintaining long-term relations with clients, introducing innovative products, financing long-term investments, etc. Each of those additional, though indispensable actions and their effects can be modeled separately, case by case, by an optimization model with a criterion function adequately selected. However, in each case the same set of constraints represents the range of company admissible actions. The aim and the scope of this textbook is to present methodologies and methods enabling modeling of such actions jointly.

Multi-Objective Combinatorial Optimization Problems and Solution Methods

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Publisher : Academic Press
ISBN 13 : 0128238003
Total Pages : 316 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Multi-Objective Combinatorial Optimization Problems and Solution Methods by : Mehdi Toloo

Download or read book Multi-Objective Combinatorial Optimization Problems and Solution Methods written by Mehdi Toloo and published by Academic Press. This book was released on 2022-02-09 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Objective Combinatorial Optimization Problems and Solution Methods discusses the results of a recent multi-objective combinatorial optimization achievement that considered metaheuristic, mathematical programming, heuristic, hyper heuristic and hybrid approaches. In other words, the book presents various multi-objective combinatorial optimization issues that may benefit from different methods in theory and practice. Combinatorial optimization problems appear in a wide range of applications in operations research, engineering, biological sciences and computer science, hence many optimization approaches have been developed that link the discrete universe to the continuous universe through geometric, analytic and algebraic techniques. This book covers this important topic as computational optimization has become increasingly popular as design optimization and its applications in engineering and industry have become ever more important due to more stringent design requirements in modern engineering practice. Presents a collection of the most up-to-date research, providing a complete overview of multi-objective combinatorial optimization problems and applications Introduces new approaches to handle different engineering and science problems, providing the field with a collection of related research not already covered in the primary literature Demonstrates the efficiency and power of the various algorithms, problems and solutions, including numerous examples that illustrate concepts and algorithms

Multiple Criteria Decision Making Theory and Application

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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.

Multi-Objective Optimization in Theory and Practice I: Classical Methods

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Publisher : Bentham Science Publishers
ISBN 13 : 1681085682
Total Pages : 296 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis Multi-Objective Optimization in Theory and Practice I: Classical Methods by : Andre A. Keller

Download or read book Multi-Objective Optimization in Theory and Practice I: Classical Methods written by Andre A. Keller and published by Bentham Science Publishers. This book was released on 2017-12-13 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Objective Optimization in Theory and Practice is a traditional two-part approach to solving multi-objective optimization (MOO) problems namely the use of classical methods and evolutionary algorithms. This first book is devoted to classical methods including the extended simplex method by Zeleny and preference-based techniques. This part covers three main topics through nine chapters. The first topic focuses on the design of such MOO problems, their complexities including nonlinearities and uncertainties, and optimality theory. The second topic introduces the founding solving methods including the extended simplex method to linear MOO problems and weighting objective methods. The third topic deals with particular structures of MOO problems, such as mixed-integer programming, hierarchical programming, fuzzy logic programming, and bimatrix games. Multi-Objective Optimization in Theory and Practice is a user-friendly book with detailed, illustrated calculations, examples, test functions, and small-size applications in Mathematica® (among other mathematical packages) and from scholarly literature. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science, and mathematics degree programs.

Evolutionary Multi-Criterion Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 3540249834
Total Pages : 927 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Evolutionary Multi-Criterion Optimization by : Carlos A. Coello Coello

Download or read book Evolutionary Multi-Criterion Optimization written by Carlos A. Coello Coello and published by Springer Science & Business Media. This book was released on 2005-02-17 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Evolutionary Multi-Criterion Optimization, EMO 2005, held in Guanajuato, Mexico, in March 2005. The 59 revised full papers presented together with 2 invited papers and the summary of a tutorial were carefully reviewed and selected from the 115 papers submitted. The papers are organized in topical sections on algorithm improvements, incorporation of preferences, performance analysis and comparison, uncertainty and noise, alternative methods, and applications in a broad variety of fields.

Multiple Criteria Decision Aid

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Publisher : Springer
ISBN 13 : 3319916483
Total Pages : 173 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Multiple Criteria Decision Aid by : Jason Papathanasiou

Download or read book Multiple Criteria Decision Aid written by Jason Papathanasiou and published by Springer. This book was released on 2018-09-19 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple criteria decision aid (MCDA) methods are illustrated in this book through theoretical and computational techniques utilizing Python. Existing methods are presented in detail with a step by step learning approach. Theoretical background is given for TOPSIS, VIKOR, PROMETHEE, SIR, AHP, goal programming, and their variations. Comprehensive numerical examples are also discussed for each method in conjunction with easy to follow Python code. Extensions to multiple criteria decision making algorithms such as fuzzy number theory and group decision making are introduced and implemented through Python as well. Readers will learn how to implement and use each method based on the problem, the available data, the stakeholders involved, and the various requirements needed. Focusing on the practical aspects of the multiple criteria decision making methodologies, this book is designed for researchers, practitioners and advanced graduate students in the applied mathematics, information systems, operations research and business administration disciplines, as well as other engineers and scientists oriented in interdisciplinary research. Readers will greatly benefit from this book by learning and applying various MCDM/A methods. (Adiel Teixeira de Almeida, CDSID-Center for Decision System and Information Development, Universidade Federal de Pernambuco, Recife, Brazil) Promoting the development and application of multicriteria decision aid is essential to ensure more ethical and sustainable decisions. This book is a great contribution to this objective. It is a perfect blend of theory and practice, providing potential users and researchers with the theoretical bases of some of the best-known methods as well as with the computing tools needed to practice, to compare and to put these methods to use. (Jean-Pierre Brans, Vrije Universiteit Brussel, Brussels, Belgium) This book is intended for researchers, practitioners and students alike in decision support who wish to familiarize themselves quickly and efficiently with multicriteria decision aiding algorithms. The proposed approach is original, as it presents a selection of methods from the theory to the practical implementation in Python, including a detailed example. This will certainly facilitate the learning of these techniques, and contribute to their effective dissemination in applications. (Patrick Meyer, IMT Atlantique, Lab-STICC, Univ. Bretagne Loire, Brest, France)

Multi-criteria Decision Making Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1475731574
Total Pages : 307 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Multi-criteria Decision Making Methods by : Evangelos Triantaphyllou

Download or read book Multi-criteria Decision Making Methods written by Evangelos Triantaphyllou and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Criteria Decision Making (MCDM) has been one of the fastest growing problem areas in many disciplines. The central problem is how to evaluate a set of alternatives in terms of a number of criteria. Although this problem is very relevant in practice, there are few methods available and their quality is hard to determine. Thus, the question `Which is the best method for a given problem?' has become one of the most important and challenging ones. This is exactly what this book has as its focus and why it is important. The author extensively compares, both theoretically and empirically, real-life MCDM issues and makes the reader aware of quite a number of surprising `abnormalities' with some of these methods. What makes this book so valuable and different is that even though the analyses are rigorous, the results can be understood even by the non-specialist. Audience: Researchers, practitioners, and students; it can be used as a textbook for senior undergraduate or graduate courses in business and engineering.

Mathematics of Multi Objective Optimization

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Publisher : Springer
ISBN 13 : 3709128226
Total Pages : 437 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Mathematics of Multi Objective Optimization by : P. Serafini

Download or read book Mathematics of Multi Objective Optimization written by P. Serafini and published by Springer. This book was released on 2014-05-04 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multi-Objective Optimization using Evolutionary Algorithms

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Publisher : John Wiley & Sons
ISBN 13 : 9780471873396
Total Pages : 540 pages
Book Rating : 4.8/5 (733 download)

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Book Synopsis Multi-Objective Optimization using Evolutionary Algorithms by : Kalyanmoy Deb

Download or read book Multi-Objective Optimization using Evolutionary Algorithms written by Kalyanmoy Deb and published by John Wiley & Sons. This book was released on 2001-07-05 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimierung mit mehreren Zielen, evolutionäre Algorithmen: Dieses Buch wendet sich vorrangig an Einsteiger, denn es werden kaum Vorkenntnisse vorausgesetzt. Geboten werden alle notwendigen Grundlagen, um die Theorie auf Probleme der Ingenieurtechnik, der Vorhersage und der Planung anzuwenden. Der Autor gibt auch einen Ausblick auf Forschungsaufgaben der Zukunft.

Multiple Criteria Decision Making

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Publisher : Springer Science & Business Media
ISBN 13 : 3642875637
Total Pages : 419 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Multiple Criteria Decision Making by : H. Thiriez

Download or read book Multiple Criteria Decision Making written by H. Thiriez and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference was organized in order to assemble a group of researchers and practitioners in the area of Multiple Criteria Decision Making. The purpose was to discuss the current state of the art with respect to both theory and practice. This conference considered such points as recent t_heoretical developments in terms of models, the behavioral aspects of multiple criteria decision making, as well as practical applications already realized and 1n progress. In addition, there was interest in the problems of implementation of multiple-criteria methods, and the interface between theory and practice, Approximately 78 participants from 15 different countries attended the conference - both theorists and practitioners. A list of participants and their addresses is found on page 411 • Because of the relatively large number of papers presented, large morning sessions followed by smaller parallel afternoon sessions were employed'. In general a discussant commented on each paper. In addition, considerable time was reserved for small-group discussion and interaction. In addition to expressing our gratitude to the participants for their enthusiastic reception and participation in the conference, we want. to thank particularly the speakers, session chairmen and discussants. We also wish to thank the C.E.S.A. and the European Institute for their support, as well as Mrs. Randee Pomerantz and Miss Dina Nagler.~oth of the E.I.A.S.M.,for their active role in the organization and arrangements for the conference, and Mrs. Jessie Goveas, E.I.A.S.M. for typing the conference proceedings.

Multi-Objective Optimization

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Publisher : World Scientific
ISBN 13 : 9812836527
Total Pages : 454 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Multi-Objective Optimization by : Gade Pandu Rangaiah

Download or read book Multi-Objective Optimization written by Gade Pandu Rangaiah and published by World Scientific. This book was released on 2009 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization has been playing a key role in the design, planning and operation of chemical and related processes for nearly half a century. Although process optimization for multiple objectives was studied by several researchers back in the 1970s and 1980s, it has attracted active research in the last 10 years, spurred by the new and effective techniques for multi-objective optimization. In order to capture this renewed interest, this monograph presents the recent and ongoing research in multi-optimization techniques and their applications in chemical engineering. Following a brief introduction and general review on the development of multi-objective optimization applications in chemical engineering since 2000, the book gives a description of selected multi-objective techniques and then goes on to discuss chemical engineering applications. These applications are from diverse areas within chemical engineering, and are presented in detail. All chapters will be of interest to researchers in multi-objective optimization and/or chemical engineering; they can be read individually and used in one''s learning and research. Several exercises are included at the end of many chapters, for use by both practicing engineers and students.

Multiple Objective Decision Making — Methods and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642455115
Total Pages : 366 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Multiple Objective Decision Making — Methods and Applications by : C.-L. Hwang

Download or read book Multiple Objective Decision Making — Methods and Applications written by C.-L. Hwang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decision making is the process of selecting a possible course of action from all the available alternatives. In almost all such problems the multiplicity of criteria for judging the alternatives is pervasive. That is, for many such problems, the decision maker (OM) wants to attain more than one objective or goal in selecting the course of action while satisfying the constraints dictated by environment, processes, and resources. Another characteristic of these problems is that the objectives are apparently non commensurable. Mathematically, these problems can be represented as: (1. 1 ) subject to: gi(~) ~ 0, ,', . . . ,. ! where ~ is an n dimensional decision variable vector. The problem consists of n decision variables, m constraints and k objectives. Any or all of the functions may be nonlinear. In literature this problem is often referred to as a vector maximum problem (VMP). Traditionally there are two approaches for solving the VMP. One of them is to optimize one of the objectives while appending the other objectives to a constraint set so that the optimal solution would satisfy these objectives at least up to a predetermined level. The problem is given as: Max f. ~) 1 (1. 2) subject to: where at is any acceptable predetermined level for objective t. The other approach is to optimize a super-objective function created by multiplying each 2 objective function with a suitable weight and then by adding them together.