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Minimizing weighted completion time with precedence constraints

Minimizing weighted completion time with precedence constraints. Nikhil Bansal (IBM) Subhash Khot (NYU). The Problem. Given n jobs, arbitrary weights and sizes (job j: wt. w j , size p j ) Precedence constraints: DAG (edge (i,j) implies j cannot started before i finishes)

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Minimizing weighted completion time with precedence constraints