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In this paper, we introduce a new class of cutting planes called Chvatal–Gomory (CG)-tier cuts. These cuts are predicated on a scaling parameter d and an integer tier-level parameter p, where 1⩽p⩽d. The cut generation process begins by scaling a given source row by d and deriving a standard Chvatal–Gomory (CG) cut at level one, but then repeats this process a total of p times, each time using the...
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