Titlebook: System Modelling and Optimization; Methods, Theory and M. J. D. Powell,S. Scholtes Conference proceedings 2000 IFIP International Federati

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Optimization of Chemical Processes under Uncertainty, the open literature has been carried out as a result. All the methods require some convexity (or concavity) assumptions, which are difficult to verify for practical problems. To address the latter, we have developed algorithms with minimal convexity (or concavity) requirements for this problem.

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Semidefinite and Lagrangian Relaxations for Hard Combinatorial Problems,ese semidefinite relaxations using the equivalent Lagrangian relaxations. In particular, the theme of the paper is to show that the Lagrangian relaxation is, in some respects, best. In all instances we consider, we show that whenever we have a tractable bound (relaxation), then the same bound can be obtained from a Lagrangian relaxation.

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1868-4238 19th IFIP TC7Conference on System Modelling and Optimization, which was held inCambridge, England, from July 12 to 16, 1999, and sponsored by theInternational Federation for Information Processing (IFIP).978-1-4757-6673-8978-0-387-35514-6Series ISSN 1868-4238 Series E-ISSN 1868-422X

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,Topology Design of Structures, Materials and Mechanisms — Status and Perspectives, problems, in particular shape optimization problems, and in studies in theoretical material science of variational bounds on material properties. Progress in computational methods and the ever increasing computer power has oriented the area towards applications, with significant developments being

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,MIP: Theory and Practice — Closing the Gap,ased branch-and-bound, introduced by Land and Doig (1960). This, in spite of the fact that there has been significant progress in the theory of integer programming and in the closely related field of combinatorial optimization. Many of the ideas developed there have received extensive computational

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Computational Experience with a Parallel Implementation of an Interior-Point Algorithm for Multicomhm, the positive definite systems of each iteration are solved through a scheme that combines direct factorizations and a preconditioned conjugate gradient (PCG) method. Although this numerical procedure works well in practice, it requires the solution of at least . systems of equations at each iter