Multiobjective Linear Programming

Masatoshi Sakawa, Hitoshi Yano and Ichiro Nishizaki
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Masatoshi Sakawa: Hiroshima University
Hitoshi Yano: Nagoya City University
Ichiro Nishizaki: Hiroshima University

Chapter Chapter 3 in Linear and Multiobjective Programming with Fuzzy Stochastic Extensions, 2013, pp 73-103 from Springer

Abstract: Abstract 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.

Keywords: Linear Programming Problem; Pareto Optimal Solution; Ideal Point; Pareto Optimality; Minimax Problem (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-9399-0_3

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