3 articles for “Discrete sizes optimization”

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Research ArticleOpen accessIn the keywordsMINLP Optimization of Mechanical StructuresS. Šilih, T. Žula, Z. Kravanja, S. KravanjaWe presented optimization of mechanical structures, performed by the Mixed-Integer Nonlinear Programming (MINLP) optimization approach. The MINLP is a combined continuous/discrete optimization technique, where a structural topology and standard/discrete sizes are optimized simultaneously with the continuous variables. Ddiscrete binary 0-1 variables were used to express the discrete decisions. For solution of this non-linear, continuous/discrete and non-convex MINLP class of the … …American Journal of Applied Sciences, Vol. 5, Issue 1 · 31 Jan 2008 · 7,125 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNelder-Mead Method with Local Selection Using Neighborhood and Memory for Stochastic OptimizationNoocharin Tippayawannakorn, Juta PichitlamkenWe consider the Nelder-Mead (NM) simplex algorithm for optimization of discrete-event stochastic simulation models. We propose new modifications of NM to reduce computational time and to improve quality of the estimated optimal solutions. Our means include utilizing past information of already seen solutions, expanding search space to their neighborhood and using adaptive sample sizes. We compare performance of these extensions … …Journal of Computer Science, Vol. 9, Issue 4 · 10 May 2013 · 6,121 accessesView PDF Cite

Research ArticleOpen accessIn the abstractOptimization Based Heuristic Approaches for Solving an Integrated One-dimensional Cutting Stock-Transportation ProblemSirirat Wongprakornkul, Peerayuth CharnsethikulIn this work, the integration of the one-dimensional cutting stock problem with multiple cutting facilities and the transportation problem was formulated mathematically as a large-scale discrete optimization problem. Benders partitioning approach and the column-generation technique with the direct method and the proposed heuristic method for solving corresponding integer programming (IP) were developed into three approaches and were used to solve … …Journal of Mathematics and Statistics, Vol. 3, Issue 3 · 30 Sep 2007 · 6,741 accessesView PDF Cite