Titlebook: Linear and Multiobjective Programming with Fuzzy Stochastic Extensions; Masatoshi Sakawa,Hitoshi Yano,Ichiro Nishizaki Textbook 2013 Sprin

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Introduction,cision 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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Linear Programming,bjective function subject to linear constraints, has been extensively studied and, with the significant advances in computer technology, widely used in the fields of operations research, industrial engineering, systems science, management science, and computer science.

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Multiobjective Linear Programming, 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 me

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Interactive Fuzzy Multiobjective Stochastic Linear Programming,several stochastic models including the expectation model, the variance model, the probability model, the fractile model, and the simple recourse model together with chance constrained programming, the formulated multiobjective stochastic programming problems are transformed into deterministic ones.

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Purchase and Transportation Planning for Food Retailing,lem, we consider purchase and transportation planning for food retailing in Japan and formulate a linear programming problem where the profit of a food retailer is maximized. The food retailer deals with vegetables and fruits which are purchased at the central wholesale markets in several cities and

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