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The capacity analysis of the existing underwater acoustic network mainly refers to the analysis method of a terrestrial wireless network. Network capacity is affected by many factors, such as node distribution, transmission delay, transmission strategy, and link layer characteristics. Aiming at the challenges of the capacity of the underwater acoustic network, a closed solution for one-hop transmission of any node based on the 3-D stochastic underwater acoustic network under the protocol model is derived, the closed solution takes into account the fact that the vertical transmission efficiency of the underwater acoustic signal is more effective than the horizontal transmission efficiency, it is in line with the channel characteristics of underwater acoustic communication, and with different network parameters, there is an optimal communication radiation range of nodes to maximize the throughput of the network. Aiming at the problem that some relay nodes in the underwater acoustic network run out of energy prematurely due to overuse, a model predictive control method based on maximum algebra is proposed, which can predict the information generation rate of nodes periodically and estimate the life value of nodes at different routing time points according to the current residual energy of nodes.

Notice of Retraction: Research and Application of Multi-Node Communication and Energy Consumption Prediction Control in Underwater Acoustic Network