An optimization problem of packing identical circles into a multiply connected region. Part 2. A solution method and its realisation

The paper deals with an optimization problem of packing identical circles into a multiply connected region whose frontier consists of arcs of circles and line segments. On the ground of the characteristics of a mathematical model a solution method is offered. The method consists of a combination of...

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Bibliographic Details
Date:2016
Main Authors: Stoyan, Yu. G., Chugay, A. M.
Format: Article
Language:English
Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2016
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Online Access:https://journals.uran.ua/jme/article/view/70114
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Journal Title:Energy Technologies & Resource Saving

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Energy Technologies & Resource Saving
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Summary:The paper deals with an optimization problem of packing identical circles into a multiply connected region whose frontier consists of arcs of circles and line segments. On the ground of the characteristics of a mathematical model a solution method is offered. The method consists of a combination of a method of generating starting points, a modification of the feasible directions method to search for local maxima and a modification of the decremental neighbourhood search method to find an approximation to a global maximum. Numerical examples are given