Modeling and Simulation of Coverage Problem in Geometric Design Systems

Sergiy Yakovlev,Oleksandr Sobol,Sergiy Shekhovtsov,Valentina Komyak,Iryna Yakovleva,Oleksii Kartashov

doi:10.1109/cadsm.2019.8779303

Modeling and Simulation of Coverage Problem in Geometric Design Systems

Sergiy Yakovlev, Oleksandr Sobol + Show 4 more

https://doi.org/10.1109/cadsm.2019.8779303

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Publication Date: Feb 1, 2019

Citations: 11

Affiliation: National Aerospace University – Kharkiv Aviation Institute, National University of Civil Defense of Ukraine, Kharkiv National University of Internal Affairs, O.M. Beketov National University of Urban Economy in Kharkiv

#Geometric Design Systems #Nonlinear Optimization Problem + Show 8 more

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Abstract

A class of problems of covering an area with a set of geometric objects of a given shape is considered. To formalize the task, the concept of a configuration space of geometric objects is used, the generalized variables of which are metrical and placement parameters. A mathematical model of the problem as a nonlinear optimization problem is constructed and its properties are investigated. The practical application of the proposed results is described by the example of solving the problem of determining the location of fire stations with the aim of ensuring the fire safety of settlements.

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