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In this article, we propose a mechanism based on mobility entropy and integrate it into the corona RPL (CoRPL) mechanism, which is an extension of the IPv6 routing protocol for low-power and lossy networks (RPL). We extensively evaluated our proposal with a simulator for Internet of Things and wireless sensor networks. The mobility entropy-based mechanism, called CoRPL+E, considers the displacement of nodes as a deciding factor to define the links through which nodes communicate. Simulation results show that the proposed mechanism, when compared to CoRPL mechanism, is effective in reducing packet loss and latency in simulated mobile routing protocol for low-power and lossy networks. From the simulation results, one can see that the CoRPL+E proposal mechanism provides a packet loss reduction rate of up to 50% and delays reduction by up to 25% when compared to CoRPL mechanism. <\/jats:p>","DOI":"10.1177\/1550147719866134","type":"journal-article","created":{"date-parts":[[2019,7,29]],"date-time":"2019-07-29T00:57:16Z","timestamp":1564361836000},"page":"155014771986613","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Entropy based routing for mobile, low power and lossy wireless sensors networks"],"prefix":"10.1177","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7378-8893","authenticated-orcid":false,"given":"Celso","family":"Carvalho","sequence":"first","affiliation":[{"name":"Universidade Federal do Amazonas (UFAM), Manaus, Brasil"}]},{"given":"Edjair","family":"Mota","sequence":"additional","affiliation":[{"name":"Universidade Federal do Amazonas (UFAM), Manaus, 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