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Linear Multiobjective Programming

  • Milan┬áZeleny

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 95)

Table of contents

  1. Front Matter
    Pages N1-X
  2. Introduction

    1. Milan Zeleny
      Pages 1-7
  3. Linear Multiobjective Programming I.

  4. Linear Multiobjective Programming II.

  5. Linear Multiobjective Programming III.

  6. Back Matter
    Pages 183-223

About this book

Introduction

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.

Keywords

Fortran algorithms calculus complexity computer organization probability programming

Authors and affiliations

  • Milan┬áZeleny
    • 1
  1. 1.Graduate School of BusinessColumbia UniversityNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-80808-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 1974
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-06639-2
  • Online ISBN 978-3-642-80808-1
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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