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Advances in Sensitivity Analysis and Parametric Programming (Hardcover, 1997 ed.)
Loot Price: R7,407
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Advances in Sensitivity Analysis and Parametric Programming (Hardcover, 1997 ed.)
Series: International Series in Operations Research & Management Science, 6
Expected to ship within 10 - 15 working days
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The numerous advances in mathematical programming have opened up
new insights about sensitivity analysis. The paradigm What if...?'
question is no longer the only question of interest. Often, we want
to know Why...?' and Why not...?' Such questions were not analyzed
in the early years of mathematical programming to the same extent
that they are now, and we have not only expanded our thinking about
post-optimal analysis', but also about solution analysis', even if
the solution obtained is not optimal. Therefore, it is now time to
examine all the recent advances on sensitivity analysis and
parametric programming. This book combines the origins of
sensitivity analysis with the state of the art. It covers much of
the traditional approaches with a modern perspective, and shows
recent results using the optimal partition approach, stemming from
interior methods, for both linear and quadratic programming. It
examines the special case of network models. It presents a
neglected topic, qualitative sensitivity analysis, as well as
elements of mixed integer programming and gives a modern
perspective of nonlinear programming. It provides recent advances
in multi-criteria mathematical programming and also describes the
state-of-the-art in stochastic programming. It covers recent
advances in understanding redundancy in quadratic programs,
considers an approach to diagnosing infeasibility in linear and
nonlinear programs, and gives an overview of sensitivity analysis
for fuzzy mathematical programming.
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