# Deep Validation of Spatial Temporal Features of Synthetic Mobility Models
## 4 The Proposed Metric: The Mobile Neighbors Range
A distributed resource management mechanism is proposed for determining the optimal transmission power of each M2M device in order to fulfill its QoS prerequisites. This concept can be amalgamated with the proposed metric in order to optimize energy-saving given that it introduces a holistic utility-based transmission power allocation approach to optimize a mobile node's battery life, through a novel formulation of the power control problem as a distributed non-cooperative game among devices. Applying this idea, it is feasible to extend the battery-life extension of the M2M devices by an efficient clustering strategy and by adopting wireless powered communication techniques. In [41], the authors introduce the concept of a joint consideration of interest, physically and energy-related properties in the clustering, and resource management processes in M2M communication networks supporting various IoT applications. Initially, a joint interest and physically aware and energy-aware cluster formation mechanism is proposed. This concept can be combined with the proposed metric to define a new one that further improves the properties of the node neighbors' range metric. In considering the neighboring issue used in the metric, the concept introduced in [42], where the authors face the problem of socio-physical and mobility-aware coalition formation among the trapped users and the first responders in public safety networks in order to guarantee connectivity, stability, and energy-efficient communicate, can be considered as well. In the proposed approach, each user is associated with socially, physically, and mobility-related characteristics and attributes in a public safety network, forming nodes clusters that can be considered by the node neighbors' range metric to improve its properties. ## 7 Conclusions

In this investigation, we have shown the first attempt to validate some mobility models in networks taking into consideration the most relevant mobility metrics, namely the speed decay problem, the density wave phenomenon, spatial node distribution, and the average neighbor percentage. These validations aim to summarize several parameters into 18,126 different scenarios with an average of 486 validated files. Based on the various experiments conducted, we conclude that entity models show the worst performance due to their independent movement model and the total randomness of the RWPMM. In a second step, a better performance is shown by the RPGMM and SLAW, as demonstrated in the previously depicted results. Nevertheless, it is worth noting that the NCMM and SMOOTH represent the mobility pattern with the best performance. In accordance with this result, we have proposed a new mobility metric called the \"mobile neighbors range\", which proves the set of outcomes of previous metrics and can be substituted for those metrics. This novel metric shows an effective behavior neighbor changes in mobility patterns, showing accurate results for all mobile nodes during the implementation of the experiment. The proposed metric merges the strengths and weaknesses of all of the stochastic properties that have been previously discussed. An exhaustive analysis of the details in this paper leads to a good understanding of the accurate behaviors of mobility models by displaying the ability of every pattern to deal with some topology changes and to ensure network performance. Mobility management in ad hoc wireless networks faces many challenges. Mobility constantly causes the network topology to change. In order to maintain accurate routes, the routing protocols must dynamically readjust to such changes. Thus, routing update traffic overhead is significantly high. Different mobility patterns have in general a different impact on a specific network protocol or application. As future work, we will discuss in detail the consequences of each mobility model on the resource management and respectively on the networks' resource savings.