Mathematical model of sectoring in 3D space

    Authors

    E. P. Paulo;L. C. Malone

    Comments

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    Abbreviated Journal Title

    Math. Comput. Simul.

    Keywords

    fixed sectoring; dynamic sectoring; 3D autonomous objects; sector; crossings; Computer Science, Interdisciplinary Applications; Computer Science, ; Software Engineering; Mathematics, Applied

    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. (C) 1999 IMACS/Elsevier Science B.V. All rights reserved.

    Journal Title

    Mathematics and Computers in Simulation

    Volume

    49

    Issue/Number

    4-5

    Publication Date

    1-1-1999

    Document Type

    Article

    Language

    English

    First Page

    285

    Last Page

    296

    WOS Identifier

    WOS:000082253700003

    ISSN

    0378-4754

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