Optimal Set Covering With Application
Mathematics Project Topics
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The set covering problem (SCP) is a fundamental problem in the class of covering problems.rnGiven a finite set and a family , ,…, rn of subsets of rn . . , , rn1,2,…, the set covering problem is to find the minimum cardinality 1,2,…, suchrnthat . The elements of are called points. Given 1,2,…, , a point is said to berncovered if it belongs to . In the case of minimum cost covering each set have a costrn 0 and our aim will be minimizing Σ such that .rnIn this project I focused, in general, on the subject matter of the problem and the mainrnapplications together with some basic algorithms for obtaining optimal (near-optimal) solutionsrnincluding some MatLab programming.
Subsurface Intelligence & Critical Mineral Exploration
Modern Geology projects now focus on Machine Learning in Mineral Targeting, Carbon Capture & Storage (CCS) Geologic Modeling, and Critical Mineral Systems (Lithium, REEs). If your research involves Hydrogeological Connectivity, Seismic Inversion, or Geotechnical Site Characterization, ensure your analysis follows the JORC or NI 43-101 reporting standards and utilizes robust 3D Subsurface Visualization and Geochemical Fingerprinting frameworks.
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