Multiobjective Linear Programming

  • Masatoshi Sakawa
  • Hitoshi Yano
  • Ichiro Nishizaki
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 203)


The problem to optimize multiple conflicting linear objective functions simultaneously under the given linear constraints is called the multiobjective linear programming problem. This chapter begins with a discussion of fundamental notions and methods of multiobjective linear programming. After introducing the notion of Pareto optimality, several methods for characterizing Pareto optimal solutions including the weighting method, the constraint method, and the weighted minimax method are explained, and goal programming and compromise programming are also introduced. Extensive discussions of interactive multiobjective linear programming conclude this chapter.


Linear Programming Problem Pareto Optimal Solution Ideal Point Pareto Optimality Minimax Problem 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Masatoshi Sakawa
    • 1
  • Hitoshi Yano
    • 2
  • Ichiro Nishizaki
    • 1
  1. 1.Department of System Cybernetics Graduate School of EngineeringHiroshima UniversityHigashi-HiroshimaJapan
  2. 2.Department of Social Sciences Graduate School of Humanities and Social SciencesNagoya City UniversityNagoyaJapan

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