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Cloud computing has increasingly been used as a platform for running large business and data processing applications. Conversely, Desktop Grids have been successfully employed in a wide range of projects, because they are able to take advantage of a large number of resources provided free of charge by volunteers. A hybrid infrastructure created from the combination of Cloud and Desktop Grids infrastructures can provide a low‐cost and scalable solution for Big Data analysis. Although frameworks like MapReduce have been designed to exploit commodity hardware, their ability to take advantage of a hybrid infrastructure poses significant challenges because of their large resource heterogeneity and high churn rate. In this paper, BIGhybrid is proposed, a simulator for two existing classes of MapReduce runtime environments: BitDew‐MapReduce designed for Desktop Grids and BlobSeer‐Hadoop designed …