In this section, we describe the proposed multi-hop WSNs based on a Monte Carlo algorithm for WSNs. First, we state the problem and describe an overview of previous work on which our conceptual base our algorithm. Our multi-hop WSNs based on a Monte Carlo algorithm is described subsequently. This is the case with many recursive algorithms, while this topic was discussed previously (see, e.g., random geometric graphs in [12], branch and bound computation in Richard M. Karp [36]).