Balance Layout Problems: Mathematical Modeling and Nonlinear Optimization

Yuriy Stoyan, Tatiana Romanova (), Alexander Pankratov, Anna Kovalenko and Peter Stetsyuk
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Yuriy Stoyan: Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine
Tatiana Romanova: Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine
Alexander Pankratov: Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine
Anna Kovalenko: Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine
Peter Stetsyuk: Glushkov Institute of Cybernetic of the National Academy of Sciences of Ukraine

A chapter in Space Engineering, 2016, pp 369-400 from Springer

Abstract: Abstract The paper studies the optimal layout problem of 3D-objects (solid spheres, straight circular cylinders, spherocylinders, straight regular prisms, cuboids and tori) in a container (a cylindrical, a parabolic, or a truncated conical shape) with circular racks. The problem takes into account a given minimal and maximal allowable distances between objects, as well as, behaviour constraints of the mechanical system (equilibrium, moments of inertia and stability constraints). We call the problem the Balance Layout Problem (BLP) and develop a continuous nonlinear programming model (NLP-model) of the problem, using the phi-function technique. We also consider several BLP subproblems; provide appropriate mathematical models and solution algorithms, using nonlinear programming and nonsmooth optimization methods, illustrated with computational experiments.

Keywords: Layout problems; Behaviour constraints; Distance constraints; Phi-functions; Quasi-phi-functions; NLP-models; Optimization algorithms (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-41508-6_14

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DOI: 10.1007/978-3-319-41508-6_14

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