Linear Multiobjective Programming by M. Zeleny (English) Paperback Book

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Linear Multiobjective Programming by M. Zeleny

There are many criteria which are to be considered: travel times, consumer's cost, construction cost, operating cost, expected fatalities and injuries, probability of delays, etc.

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Paperback LANGUAGE
English CONDITION
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1.1. The origin of the multiobjective problem and a short historical review The continuing search for a discovery of theories, tools and c- cepts applicable to decision-making processes has increased the complexity of problems eligible for analytical treatment. One of the more pertinent criticisms of current decision-making theory and practice is directed against the traditional approximation of multiple goal behavior of men and organizations by single, technically-convenient criterion. Reins- tementof the role of human judgment in more realistic, multiple goal se,ttings has been one of the ma~or recent developments in the literature. Consider the following simplified problem. There is a large number of people to be transported daily between two industrial areas and their adjacent residential areas. Given some budgetary and technological c- straints we would like to determine optimal transportation modes as well as the number of units of each to be scheduled for service. What is the optimal solution? Are we interested in the cheapest transportation? Do we want the fastest, the safest, the cleanest, the most profitable, the most durable? There are many criteria which are to be considered: travel times, consumer's cost, construction cost, operating cost, expected fatalities and injuries, probability of delays, etc.

Table of Contents

1. Introduction.- 1.1 The Origin of the Multiobjective Problem and a Short Historical Review.- 1.2. Linear Multiobjective Programming.- 1.3. Comment on Notation.- Linear Multibojective Programming I.- 2. Basic Theory and Decomposition of the Parametric Space.- Linear Multiobjective Programming II.- 3. Finding Nondominated Extreme Points - A Second Approach (Multicriteria Simplex Method).- Linear Multiobjective Programming III.- 4. A Method for Generating All Nondominated Solutions of X..- 5. Additional Topics and Extensions.- Appendix:.- A1. A Note on Elimination of Redundant Constraints.- A.2. Examples of Output Printouts.- A.3. The Program Description and FORTRAN Printout.

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Long Description

1.1. The origin of the multiobjective problem and a short historical review The continuing search for a discovery of theories, tools and c- cepts applicable to decision-making processes has increased the complexity of problems eligible for analytical treatment. One of the more pertinent criticisms of current decision-making theory and practice is directed against the traditional approximation of multiple goal behavior of men and organizations by single, technically-convenient criterion. Reins- tementof the role of human judgment in more realistic, multiple goal se,ttings has been one of the ma~or recent developments in the literature. Consider the following simplified problem. There is a large number of people to be transported daily between two industrial areas and their adjacent residential areas. Given some budgetary and technological c- straints we would like to determine optimal transportation modes as well as the number of units of each to be scheduled for service. What is the optimal solution? Are we interested in the cheapest transportation? Do we want the fastest, the safest, the cleanest, the most profitable, the most durable? There are many criteria which are to be considered: travel times, consumer's cost, construction cost, operating cost, expected fatalities and injuries, probability of delays, etc.

Details ISBN354006639X Short Title LINEAR MULTIOBJECTIVE PROGRAMM Language English ISBN-10 354006639X ISBN-13 9783540066392 Media Book Format Paperback Series Number 95 Year 1974 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany DEWEY 004 Publication Date 1974-02-21 Pages 223 Illustrations X, 223 p. DOI 10.1007/978-3-642-80808-1 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description Softcover reprint of the original 1st ed. 1974 Series Lecture Notes in Economics and Mathematical Systems Audience Professional & Vocational Country of Origin US Product Class Description Computing: Professional & Programming Author M. Zeleny Alternative 9783642808081
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