Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty

Language: English

Published by Springer, 1990

0792308875 / 9780792308874

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Druck auf Anfrage Neuware - Printed after ordering - Operations Research is a field whose major contribution has been to propose a rigorous fonnulation of often ill-defmed problems pertaining to the organization or the design of large scale systems, such as resource allocation problems, scheduling and the like. While this effort did help a lot in understanding the nature of these problems, the mathematical models have proved only partially satisfactory due to the difficulty in gathering precise data, and in formulating objective functions that reflect the multi-faceted notion of optimal solution according to human experts. In this respect linear programming is a typical example of impressive achievement of Operations Research, that in its detenninistic fonn is not always adapted to real world decision-making : everything must be expressed in tenns of linear constraints ; yet the coefficients that appear in these constraints may not be so well-defined, either because their value depends upon other parameters (not accounted for in the model) or because they cannot be precisely assessed, and only qualitative estimates of these coefficients are available. Similarly the best solution to a linear programming problem may be more a matter of compromise between various criteria rather than just minimizing or maximizing a linear objective function. Lastly the constraints, expressed by equalities or inequalities between linear expressions, are often softer in reality that what their mathematical expression might let us believe, and infeasibility as detected by the linear programming techniques can often been coped with by making trade-offs with the real world.

Seller Inventory # 9780792308874

Title
Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty
Author
Jaques Teghem
Publisher
Springer
Publication year
1990
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0792308875
ISBN 13
9780792308874
Item weight
819 grams
Dimensions
241x160x28 mm

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