Part of the International Series in Operations Research & Management Science book series (ISOR, volume 203)


In this chapter, as an introductory numerical example, a simple production planning problem is considered. A production planning problem having two decision variables is formulated as a linear programming problem, and a graphical method for obtaining an optimal solution is illustrated. Moreover, by considering environmental quality, a two-objective linear programming problem is formulated, and the notion of Pareto optimality is outlined.


Decision Variable Extreme Point Multiobjective Optimization Linear Programming Problem Stochastic Programming 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  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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