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Industrial IoT (IIoT) and related areas, such as Industrial Wireless Networks (IWNs), big data, and cloud computing, have made significant strides recently. Using IIoT requires a reliable and effective data collection system, such as a spanning tree. Many previous spanning tree algorithms ignore failure and mobility. In such cases, the spanning tree is broken, making data delivery to the base station difficult. This study proposes an algorithm to construct an optimal spanning tree by combining an artificial bee colony, genetic operators, and density correlation degree to make suitable trees. The trees\u2019 fitness is measured using hop count distances of the devices from the base station, residual energy of the devices, and their mobility probabilities in this technique. The simulation outcomes highlight the enhanced data collection reliability achieved by the suggested algorithm when compared to established methods like the Reliable Spanning Tree (RST) construction algorithm in IIoT and the Hop Count Distance (HCD) based construction algorithm. This proposed algorithm shows improved reliability across diverse node numbers, considering key parameters including reliability, energy consumption, displacement probability, and distance.<\/jats:p>","DOI":"10.1007\/s10586-024-04351-4","type":"journal-article","created":{"date-parts":[[2024,3,26]],"date-time":"2024-03-26T13:02:42Z","timestamp":1711458162000},"page":"7521-7539","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":122,"title":["A reliable method for data aggregation on the industrial internet of things using a hybrid optimization algorithm and density correlation degree"],"prefix":"10.1007","volume":"27","author":[{"given":"Arash","family":"Heidari","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Houshang","family":"Shishehlou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mehdi","family":"Darbandi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nima Jafari","family":"Navimipour","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Senay","family":"Yalcin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,3,26]]},"reference":[{"issue":"1","key":"4351_CR1","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1109\/MITS.2020.2970185","volume":"14","author":"W Zou","year":"2020","unstructured":"Zou, W., et al.: Limited sensing and deep data mining: A new exploration of developing city-wide parking guidance systems. 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