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Moreover, there\u2019s a blockchain system that is deployed on UAVs, to provide the network with trust mechanism without requiring a centralized authority. From the standpoint of the operator, we intend to maximize the long-term averaged economical revenue by providing UEs with satisfactory and secure content access services. To achieve this purpose, we will jointly optimize the content placement of each UAV, content replacement when each UAV is full, the access control of each UE, and the blockchain deployment strategy about each UAV. the concept of queues in Lyapunov optimization is utilized to represent the backlog of edge equipment, ensuring the stability of virtual queues on UAVs and satellites, while satisfying the caching capacity constraints for content caching and blockchain deployment. Due to the tight coupling of optimization in each time slot and the variables within each time slot, our problem, which involves stochastic optimization and binary integer programming, is challenging to solve. To address this issue, we initially employ Lyapunov optimization theory to transform and decouple the problem into individual time-slot optimization problems. Subsequently, we utilize an effective heuristic algorithm called the fireworks algorithm to solve these individual optimization problems. However, the original fireworks algorithm cannot be directly applied to our problem due to its binary characteristics and inter-coupling constraints. Therefore, we have redesigned the explosion and mutation operations to adapt them to our specific problem. Simulation results demonstrate that our proposed algorithm outperforms other baseline algorithms.<\/jats:p>","DOI":"10.1186\/s13677-023-00472-0","type":"journal-article","created":{"date-parts":[[2023,6,29]],"date-time":"2023-06-29T11:02:04Z","timestamp":1688036524000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Economical revenue maximization in mobile edge caching and blockchain enabled space-air-ground integrated networks"],"prefix":"10.1186","volume":"12","author":[{"given":"Jianbo","family":"Du","sequence":"first","affiliation":[]},{"given":"Jiaju","family":"Lv","sequence":"additional","affiliation":[]},{"given":"Guangyue","family":"Lu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,6,29]]},"reference":[{"key":"472_CR1","doi-asserted-by":"publisher","unstructured":"Kang J, Li X, Nie J, Liu Y, Xu M, Xiong Z, Niyato D, Yan Q (2022) Communication-efficient and cross-chain empowered federated learning for artificial intelligence of things. 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