176 Trend Analyses of Parameters of Equations for Minimum CBR Distance Achievable in Ubicomp MANETs Using Location-Aware Transmission. M. Kaleem GALAMALI, Assoc. Prof Nawaz MOHAMUDALLY Abstract – Use of MANET transmission approaches symbolise a key towards solving the problem of sparsely available network and routing equipment in ubicomp environments, which is expected to be the case for many future environments specially outdoor ones. Good performance of MANET directly depends on correctly designed protocols and research is well on the way in this direction [79]. The adaptation of location-aware transmission strategies is prone to augment energy management standards and justifies all the effort put in by researchers. Among the technological enrichments looked forward in the future, the application of land- based GPS systems, improved location refresh rates and accuracy, development of fine-tuned transmission protocols and cheaper sophisticated hardware, are most awaited. Available scientific knowledge of trends of distance coverages by transmitted packets in a ubicomp over varying node densities, is undeniably favourable for refining transmission protocols in MANETs. Correspondingly, one such empirical study was carried out in a previous paper [28], whereby metric Min_CBR_Dist was explained. In this paper, the next piece of investigation required for metric Min_CBR_Dist is put forward as: “What are the trends of variation observable within each parameter of the equation of curves obtained for metric Min_CBR_Dist [28] over varying node densities?”. The results presented here remain utilisable by designers for better developing ubicomp transmission protocols. This piece of research remains a follow-up of previous work [1-43]. Key terms: Ubicomp- Ubiquitous Computing, MAUC- Mobile and Ubiquitous Computing, MANET- Mobile Adhoc Network, CBR- Constant Bit Rate, Min_CBR_Dist – Minimum CBR Distance. M. Kaleem GALAMALI, University of Technology Mauritius (student) Mauritius mkaleemg@gmail.com Assoc. Prof Nawaz Mohamudally University of Technology Mauritius, Mauritius alimohamudally@umail.utm.ac.mu 1. Introduction Ubicomp topographies may not all be sophisticatedly equipped with networking and routing devices. Many such topographies, specially outdoor ones and those in lesser developed regions, may be poorly equipped. It is also expected that, since ubicomp inherits from distributed systems, it will still be subject to lots of inherent heterogeneities [1]. MANET transmission may also be having such heterogeneities in their operating protocols. Nevertheless, MANET transmission remain a favourable choice for poor topographies. It remains possible to enhance MANET transmission with incorporation of location-aware transmission features. Methods of studying distance related characteristics experienced by CBRs in ubicomp may also be built from metrics. One such metric, Min_CBR_Dist was studied previously [28], whereby pattern followed was expressed as exponential model of form: F(x)= a * exp ( b * ( x - c ) ) + d Here, the moderately complex equation of the model has involved 4 parameters: a, b, c and d. the next empirical formulation required for metric Min_CBR_Dist is the model equations for parameters of equation specified above. The key contributions of this paper is the development of equations involved for the model for metric Min_CBR_Dist presented previously [28], from which table 1 is re-used here. The empirical methods provided here remain usable by designers and programmers, to be implemented into software simulators so that these can be further empowered for advanced investigations of the evolution and predictability of distance features in future ubicomp. The rest of this paper is organised as follows: section 2- Parameter Trend Analysis- Metric Min_CBR_Dist, section 3- Conclusion and References. 2. Parameter Trend Analysis – Metric Min_CBR_Dist. 2.0 General Procedure Adopted. The procedure adopted consist of 4 steps: i. The tabulated data for each parameter of the equation for the model for Min_CBR_Dist is plotted onto gnuplot. ii. Graphical analyses are performed and general observations are noted. International Journal of Advance in Computer Science & its application – IJCSIA 2018 Copyright © Institute of Research Engineers and Doctors , SEEK Digital Library Volume 7 : Issue 2 [ISSN : 2250-3765] - Publication Date: 25 June , 2018