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Photocatalytic water cracking technology provides a broad prospect for solving the current energy crisis using solar energy and water resources.

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A comprehensive resource optimization framework is designed for incremental amplify-andforward orthogonal frequency division multiplexing (AF-OFDM) relaying systems to maximize the network lifetime. Specifically, joint channel and power assignment, i.e., all degrees of freedom such as incremental policy, channel pairing, relay selection, and power allocation, are optimized with quality of service (QoS) constraints. The lifetime maximization problem is formulated as a mixed-integer nonlinear programming which at first glance seems mathematically intractable. However, a two-nested search loop, in which the outer loop varies the lifetime based on bisection criterion until finding the optimum while the inner loop attempts to derive the corresponding feasible solution set for that given lifetime by employing dual decomposition and subgradient techniques, is then presented to solve it. Numerical results are shown to verify the near-optimality and the effectiveness of our proposal.

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