Title

Mathematical Model Of Sectoring In 3D Space

Keywords

3D autonomous objects; Dynamic sectoring; Fixed sectoring; Sector crossings

Abstract

This paper describes a mathematical model used to support an in-depth simulation study that investigated a variety of sectoring methodologies intended to increase simulation efficiency in the case of autonomous moving objects in 3D space. The potential physical systems that could be represented in this fashion are airplane traffic flow, combat entities on the ground and in the air, and blood flowing in the body. The mathematical model considers effect of possible collisions between moving objects, as well as the impact of overhead created by sector crossings. Different sectoring methodologies are analyzed, which consider the impact of different sector shapes (cubes or spheres) on the number of possible pairwise comparisons. Certain empirical data generated from the corresponding simulation was used for expected number of collisions and sector crossings. Future research could develop true mathematical formulations for each piece of the mathematical model. The mathematical model provides important information into the movement of objects in 3D space. It gave insight into the potential benefits of using different sectoring methodologies under varying conditions. Additionally, the model provided a new approach that included the effect of sector crossings on number of pairwise comparisons. © 1999 IMACS/Elsevier Science B.V. All rights reserved.

Publication Date

1-1-1999

Publication Title

Mathematics and Computers in Simulation

Volume

49

Issue

4-5

Number of Pages

285-296

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/s0378-4754(99)00042-7

Socpus ID

0005157128 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0005157128

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