منابع مشابه
Mixed-Integer Nonlinear Optimization
Many optimal decision problems in scientific, engineering, and public sector applications involve both discrete decisions and nonlinear system dynamics that affect the quality of the final design or plan. These decision problems lead to mixed-integer nonlinear programming (MINLP) problems that combine the combinatorial difficulty of optimizing over discrete variable sets with the challenges of ...
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We present a flexible framework for general mixed-integer nonlinear programming (MINLP), called Minotaur, that enables both algorithm exploration and structure exploitation without compromising computational efficiency. This paper documents the concepts and classes in our framework and shows that our implementations of standard MINLP techniques are efficient compared with other state-of-the-art...
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Two novel deterministic global optimization algorithms for nonconvex mixed-integer problems (MINLPs) are proposed, using the advances of the BB algorithm for noncon-vex NLPs Adjiman et al. (1998a). The Special Structure Mixed-Integer BB algorithm (SMIN-BB addresses problems with nonconvexities in the continuous variables and linear and mixed-bilinear participation of the binary variables. The G...
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A variety of applications in economics, finance, engineering design, the chemical and biological sciences, and a host of other areas give rise to nonconvex nonlinear and mixed-integer nonlinear programs (NLPs and MINLPs). BARON was originally developed in the early 1990s as a computational system to facilitate experimentation with novel deterministic algorithms for global optimization. Since th...
متن کاملMixed-Integer Nonlinear Programming
Recently, the area of Mixed Integer Nonlinear Programming (MINLP) has experienced tremendous growth and a flourish of research activity. In this article we will give a brief overview of past developments in the MINLP arena and discuss some of the future work that can foster the development of MINLP in general and, in particular, robust solver technology for the practical solution of problems.
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ژورنال
عنوان ژورنال: Acta Numerica
سال: 2013
ISSN: 0962-4929,1474-0508
DOI: 10.1017/s0962492913000032