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Under differentiability and constraint qualifications, the Karush–Kuhn–Tucker (KKT) conditions provide necessary conditions for a solution to be optimal. org/10. In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints or the objective function are nonlinear. Luenberger,
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An unbounded problem is a feasible problem for which the objective function can be made to be better than any given finite value. Let X be a subset of Rn, let f, gi, and hj be real-valued functions on X for each i in {1, , m} and each j in {1, , p}, with at least one of f, gi, and hj being nonlinear.
There are several possibilities for the nature of the constraint set, also known as the feasible set or feasible region. He is a Fellow of the Institute of Electrical and Electronic Engineers (since 1975).
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It is the sub-field of mathematical optimization that deals with problems that are not linear. D. An example would be petroleum product transport given a selection or combination of pipeline, rail tanker, road tanker, river barge, or coastal tankship.
In experimental science, some simple data analysis (such as fitting a spectrum with a sum of peaks of known location and shape but unknown magnitude) can be done with linear methods, but in general these problems, also, are nonlinear.
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Under convexity, these conditions are also sufficient. This solution is optimal, although possibly not unique. and Ph. It should be present in the bookcase of each student, researcher, and specialist from the host of disciplines from which practical optimization applications are drawn. 1007/978-3-319-18842-3Publisher: Springer ChameBook Packages:
Business and Management, Business and Management (R0)
Copyright Information: Springer International Publishing Switzerland 2016Softcover ISBN: 978-3-319-37439-0eBook ISBN: 978-3-319-18842-3Series ISSN:
0884-8289 Series E-ISSN:
2214-7934 Edition Number: 4Number of Pages: XIII, 546Number of Illustrations: 90 b/w illustrationsTopics:
Operations Research and Decision Theory, Operations Research, Management Science , Mathematical Modeling and Industrial Mathematics, Industrial Management
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