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Introduction

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Book cover Linear and Multiobjective Programming with Fuzzy Stochastic Extensions

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

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Abstract

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.

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Authors and Affiliations

  1. Department of System Cybernetics Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan

    Masatoshi Sakawa & Ichiro Nishizaki

  2. Department of Social Sciences Graduate School of Humanities and Social Sciences, Nagoya City University, Nagoya, Japan

    Hitoshi Yano

Authors
  1. Masatoshi Sakawa
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  2. Hitoshi Yano
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  3. Ichiro Nishizaki
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Sakawa, M., Yano, H., Nishizaki, I. (2013). Introduction. In: Linear and Multiobjective Programming with Fuzzy Stochastic Extensions. International Series in Operations Research & Management Science, vol 203. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-9399-0_1

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