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In order to be able to reasonably realize the fairness of criminal justice activities, the relevant deficiencies in the implementation of the supervision of criminal penalty enforcement are made up. In order to reasonably improve the execution plan, the legal authority of judicial administration is established. The implementation of the judicial enforcement program in the administrative law system is researched based on the annealing algorithm. The optimization of the annealing algorithm is used to optimize the execution of the program flow. 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Please see the Retraction Notice for more detail:","order":6,"name":"change_details","label":"Change Details","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"https:\/\/doi.org\/10.1186\/s13638-023-02229-4","URL":"https:\/\/doi.org\/10.1186\/s13638-023-02229-4","order":7,"name":"change_details","label":"Change Details","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"J Q, Master of Juris, Graduated from the China University of Political Science and Law in 2016. Worked in The Higher People\u2019s Court of Shanxi Province. His research interests include Administrative law.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Author\u2019s information"}},{"value":"The author declares that he has no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}},{"value":"Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Publisher\u2019s Note"}}],"article-number":"37"}}