In this section, we describe the proposed multi-hop WSNs based on a Monte Carlo algorithm for WSN. This is similar to the distribution structure of the multiple repeated spread, which the research that has been discussed (see, e.g., random geometric graphs in [12], branch and bound computation in [36]).
1). Background
Our first step is to extend the network models used by [1, 6] by incorporating multiple a cluster of large networks. We define the WSNs to be a multi-hop network with N nodes, symmetric topology based on two parameters, cluster size (N) and hop count (H).
We can use the algorithm to construct the structural of randomized WSNs by deploying sensor nodes with a probability distribution under the terms of the value, probability of success is computed from the probability modeled by using the Monte Carlo simulation were analyzed the value nodes interval [0, 1]. The concept of a Monte Carlo simulation of probabilistic analysis of pattern structure in large-scale communication where the algorithm makes a decision or a classification, and phenomena by supposing that probability density of cluster size/hop distance.
The analytical model of the WSNs will behavior different including data collected of the number of child node in each cluster and the random probability with the value ps. Subsequently, WSNs is established by using the algorithmically that generates a pseudo random number [20, 21] is defined as a parameter of a variable X.
Here are the important properties of a multi-hop WSNs based on Monte Carlo simulation of uniformly cluster-tree topology.
Corollary 1: The size of a multi-hop WSNs based on a Monte Carlo algorithm to establish cluster tree uniformly topology consists the hop count (H) and the number of node child in each cluster (N) is defined as Ntotal which the accumulative X of all variable.
Corollary 2: The expanding topology in symmetries size Ntotal