Advances in Sensitivity Analysis and Parametric Programming

Advances in Sensitivity Analysis and Parametric Programming

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The standard view of Operations Research/Management Science (OR/MS) dichotomizes the field into deterministic and probabilistic (nondeterministic, stochastic) subfields. This division can be seen by reading the contents page of just about any OR/MS textbook. The mathematical models that help to define OR/MS are usually presented in terms of one subfield or the other. This separation comes about somewhat artificially: academic courses are conveniently subdivided with respect to prerequisites; an initial overview of OR/MS can be presented without requiring knowledge of probability and statistics; text books are conveniently divided into two related semester courses, with deterministic models coming first; academics tend to specialize in one subfield or the other; and practitioners also tend to be expert in a single subfield. But, no matter who is involved in an OR/MS modeling situation (deterministic or probabilistic - academic or practitioner), it is clear that a proper and correct treatment of any problem situation is accomplished only when the analysis cuts across this dichotomy.The stability of the solutions of stochastic linear programs has been analyzed by DupaA¬ćova [23, 24], and the accuracy of the solutions ... 12.6.1 The diet problem was studied by Stigler [73]; it was used by Dantzig [17] as the first test problem for the simplex method. ... 12.6.2 Textbook treatment of investments and portfolio management is given by Bodie, Kane and Marcus [10] and Elton and Gruber (27].

Title:Advances in Sensitivity Analysis and Parametric Programming
Author:Tomas Gal, H.J. Greenberg
Publisher:Springer Science & Business Media - 2012-12-06


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