A New Symbolic-Based Flow Aggregation and Disaggregation Modular Approach for Tree-shaped Networks

Walaa Ibrahim Gabr,Hassen Taher Dorrah

doi:10.1109/access.2019.2961142

Walaa Ibrahim Gabr, Hassen Taher Dorrah

Open Access

https://doi.org/10.1109/access.2019.2961142

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Abstract

This paper presents the representation and modeling of real-life tree-shaped natural and man-made networks. It is shown that the tree-shaped networks could be composed of two entities of different functionalities that can operate separately or jointly. The first entity is the feet/head aggregation networks, while the second entity is the head/feet disaggregation networks. Each entity is represented with the same symbolic-based modular model expressions. Moreover, it is illustrated that the aggregation entity network can be mapped through a mirroring type process to an analogous disaggregation entity network and vice versa. The suggested technique is demonstrated by an application of the modeling of 20-nodes real-life tree-shaped irrigation network. The paper also addresses simultaneously the analogy between natural plant tree morphology and natural/man-made operational network of both the aggregation or disaggregation types. It is highlighted that such analogy with the natural tree system could help in future schematizing of stages of operational networks expansion in the most efficient way as learnt from nature and in building advanced generations of operational networks. Furthermore, it is pointed out that the new approach has unlimited scope of real-life applications in engineering/technology such as electric generation, water basins, sewage, agriculture drainage, highway transportation..etc. networks for the aggregation entity, and electric distribution, irrigation, oil, gas, potable water, roads transport,..etc. networks for the disaggregation entity. In all respects, the paper has succeeded within the area of tree-shaped networks in crossing the boundaries between the Science of Botany and Engineering/technology (and vice versa) and to create new common areas of important shared interests of great benefits to these disciplines and the science world as a whole. Finally, the new notion of crossing boundaries between sciences can also be extended to and among many other sciences themselves dealing with tree-shaped systems.

Highlights

The tree network has been extensively applied in computer systems, where the main branch is referred to as the parent and its subsidiary is denoted as the child [1]
The application of symbolic-based modeling and analysis of natural and man-made systems has been recently more emphasized [3]. The implementation of such symbolic-based mathematical approach has been extended in many classes of systems in areas of engineering, automatic control, life sciences, utilities operational networks, . . . etc. [4]–[6]
They are equipped with flexible resources such as of changeable form within the nodes that adapts itself with the ongoing situations. They could be equipped with additional moveable resources that can move from one node to another to achieve the highest efficiency and reliability. In addition to these requirements, there is an urgent need to develop the tree-shaped aggregation and disaggregation models of the operational networks problem to be considered in the investigation

Summary

INTRODUCTION

The tree network has been extensively applied in computer systems, where the main branch is referred to as the parent and its subsidiary is denoted as the child [1]. The application of symbolic-based modeling and analysis of natural and man-made systems has been recently more emphasized [3] The implementation of such symbolic-based mathematical approach has been extended in many classes of systems in areas of engineering, automatic control, life sciences, utilities operational networks, . They could be equipped with additional moveable resources that can move from one node to another to achieve the highest efficiency and reliability In addition to these requirements, there is an urgent need to develop the tree-shaped aggregation and disaggregation models of the operational networks problem to be considered in the investigation. The roots branches are spread widely as they serve to anchor the tree and extract moisture and nutrients from soil Both trees roots and stems systems usually follow the same tree-shape topology

PROBLEM MOTIVATION

MULTI-STEP FLOW AGGREGATION AND DISSAGGREGATION MODULAR REPRESENTATION

CONCLUSION